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Decay estimates for wave equation with a potential on exterior domainsAug 26 2016Jul 09 2017The purpose of the present paper is to establish the local energy decay estimates and dispersive estimates for 3-dimensional wave equation with a potential to the initial-boundary value problem on exterior domains. The geometrical assumptions on domains ... More

Blow Up for the Semilinear Wave Equation in Schwarzschild MetricJul 01 2004Nov 06 2004We study the semilinear wave equation in Schwarzschild metric (3+1 dimensional space--time). First, we establish that the problem is locally well--posed in $\cs H^\sigma$ for any $\sigma \geq 1$; then we prove the blow up of the solution for every real ... More

Endpoint Strichartz estimates for the Schrödinger equation on an exterior domainMay 07 2019The purpose in this paper is to prove end point Strichartz estimates for the Schr\"odinger equation in the exterior domain of a generic non-trapping obstacle in the case $n \geq 3.$ In the case $n=2$ we have the same range of Strichartz estimates as in ... More

On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical casesNov 29 2016In this paper, the global well-posedness of semirelativistic equations with a power type nonlinearity on Euclidean spaces is studied. In two dimensional $H^s$ scaling subcritical case with $1 \leq s \leq 2$, the local well-posedness follows from a Strichartz ... More

Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potentialApr 07 2018We study the Cauchy problem for the half Ginzburg-Landau-Kuramoto (hGLK) equation with the second order elliptic operator having rough coefficients and potential type perturbation. The blow-up of solutions for hGLK equation with non-positive nonlinearity ... More

Gradient estimates and their optimality for heat equation in an exterior domainOct 02 2017This paper is devoted to the study of gradient estimates for the Dirichlet problem of the heat equation in the exterior domain of a compact set. Our results describe the time decay rates of the derivatives of solutions to the Dirichlet problem. Applications ... More

Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equationsSep 27 2010We study the instability of standing waves for nonlinear Schr\"{o}dinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimension. For that purpose, we establish a Strichartz ... More

Zero resonances for localised potentialsMar 05 2018Jun 13 2018This paper considers Hamiltonians with localised potentials and gives a variational characterisation of resonant coupling parameters, which allow to provide estimates for the first resonant parameter and in turn also to provide bounds for resonant free ... More

On the scattering problem for the nonlinear Schrödinger equation with a potential in 2DDec 31 2018We consider the scattering problem for the nonlinear Schr\"{o}dinger equation with a potential in two space dimensions. Appropriate resolvent estimates are proved and applied to estimate the operator $A(s)$ appearing in commutator relations. The equivalence ... More

Lifespan estimates for local in time solutions to the semilinear heat equation on the Heisenberg groupMay 14 2019In this paper we consider the semilinear Cauchy problem for the heat equation with power nonlinearity in the Heisenberg group $\mathbf{H}_n$. The heat operator is given in this case by $\partial_t-\Delta_H$, where $\Delta_H$ is the so-called sub-Laplacian ... More

Scale invariant energy smoothing estimates for the Schrödinger Equation with small Magnetic PotentialSep 01 2005We consider some scale invariant generalizations of the smoothing estimates for the free Schr\"odnger equation obtained by Kenig, Ponce and Vega. Applying these estimates and using appropriate commutator estimates, we obtain similar scale invariant smoothing ... More

Symmetry and uniqueness of minimizers of Hartree type equations with external Coulomb potentialAug 23 2010Dec 08 2010In the present article we study the radial symmetry of minimizers of the energy functional, corresponding to the repulsive Hartree equation in external Coulomb potential. To overcome the difficulties, resulting from the "bad" sign of the nonlocal term, ... More

Orbital stability and uniqueness of the ground state for NLS in dimension oneMay 30 2016We prove that standing-waves solutions to the non-linear Schr\"odinger equation in dimension one whose profiles can be obtained as minima of the energy over the mass, are orbitally stable and non-degenerate, provided the non-linear term $ G $ satisfies ... More

Local energy decay for wave equation in the absence of resonance at zero energy in 3DMar 19 2011In this paper we study spectral properties associated to Schrodinger operator with potential that is an exponential decaying function. As applications we prove local energy decay for solutions to the perturbed wave equation and lack of resonances for ... More

Decay estimates for wave equation with a potential on exterior domainsAug 26 2016The purpose of the present paper is to establish the local energy decay estimates and dispersive estimates for 3-dimensional wave equation with a potential to the initial-boundary value problem on exterior domains. The geometrical assumptions on domains ... More

Uniqueness of standing-waves for a non-linear Schrödinger equation with three pure-power combinations in dimension oneSep 02 2017We show that symmetric and positive profiles of ground-state standing-wave of the non-linear Schr\"odinger equation are non-degenerate and unique up to a translation of the argument and multiplication by complex numbers in the unit sphere. The non-linear ... More

On the classification of the spectrally stable standing waves of the Hartree problemFeb 11 2017We consider the fractional Hartree model, with general power non-linearity and space dimension. We construct variationally the "normalized" solutions for the corresponding Choquard-Pekar model - in particular a number of key properties, like smoothness ... More

On the continuity of the solution operator to the wave map systemDec 15 2002We investigate the continuity properties of the solution operator to the wave map system from the flat Minkowski space to a general nonflat target of arbitrary dimension, and we prove by an explicit class of counterexamples that this map is not uniformly ... More

On homogeneous Besov spaces for $1D$ Hamiltonians without zero resonanceMay 09 2016We consider 1-D Laplace operator with short range potential V(x), such that $$(1+|x|)^\gamma V(x) \in L^1(R), \ \ \gamma > 1.$$ We study the equivalence of classical homogeneous Besov type spaces $\dot{B}^s_p(R)$, $p \in (1,\infty)$ and the corresponding ... More

Hardy inequality and fractional Leibnitz rule for perturbed Hamiltonians on the lineJun 28 2016We consider the following perturbed Hamiltonian $\mathcal{H}= -\partial_x^2 + V(x)$ on the real line. The potential $V(x)$ is a real - valued function of short range type. We study the equivalence of classical homogeneous Sobolev type spaces $\dot{H}^s_p$, ... More

On the radiality of constrained minimizers to the Schroedinger-Poisson-Slater energySep 19 2011We study the radial symmetry of minimizers to the Schroedinger-Poisson-Slater (S-P-S) energy.

Finite time blow-up for a wave equation with a nonlocal nonlinearityAug 25 2010In this article, we study the local existence of solutions for a wave equation with a nonlocal in time nonlinearity. Moreover, a blow-up results are proved under some conditions on the dimensional space, the initial data and the nonlinear forcing term. ... More

Blow-up for self-interacting fractional Ginzburg-Landau equationMar 04 2017The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.

Note for global existence of semilinear heat equation in weighted $L^\infty$Apr 03 2018Apr 25 2018The local and global existence of the Cauchy problem for semilinear heat equations with small data is studied in the weighted $L^\infty (\mathbb R^n)$ framework by a simple contraction argument. The contraction argument is based on a weighted uniform ... More

Higher order fractional Leibniz ruleSep 19 2016The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

Existence and uniqueness of ground states for $p$ - Choquard model in 3DMar 09 2018We study the $p$-Choquard equation in 3-dimensional case and establish existence and uniqueness of ground states for the corresponding Weinstein functional. For proving the uniqueness of ground states, we use the radial symmetry to transform the equation ... More

Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic PotentialSep 19 2005Sep 23 2005The work treats smoothing and dispersive properties of solutions to the Schrodinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing - Strichartz estimate for the ... More

Long time dynamics for semirelativistic NLS and Half Wave in arbitrary dimensionNov 15 2016We consider the Cauchy problems associated with semirelativistc NLS (sNLS) and half wave (HW). In particular we focus on the following two main questions: local/global Cauchy theory; existence and stability/instability of ground states. In between other ... More

Decay and scattering of small solutions of pure power NLS in $\R$ with $p>3$ and with a potentialSep 26 2012We prove decay and scattering of solutions of the Nonlinear Schr\"oding-er equation (NLS) in ${\mathbf R}$ with pure power nonlinearity with exponent $3<p<5$ when the initial datum is small in $\Sigma$ (bounded energy and variance), in the presence of ... More

Traveling waves for the quartic focusing Half Wave equation in one space dimensionApr 19 2018We consider the quartic focusing Half Wave equation (HW) in one space dimension. We show first that that there exist traveling wave solutions with arbitrary small $H^{\frac 12}(\R)$ norm. This fact shows that small data scattering is not possible for ... More

Critical exponent for nonlinear damped wave equations with non-negative potential in 3DOct 14 2018We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena ... More

Self-similar solutions to the derivative nonlinear Schrödinger equationNov 15 2018A class of self-similar solutions to the derivative nonlinear Schr\"odinger equations is studied. Especially, the asymptotics of profile functions are shown to posses a logarithmic phase correction. This logarithmic phase correction is obtained from the ... More

Some remarks on nodal geometry in the smooth settingAug 18 2016We give asymptotic upper and lower bounds on the volume of a tubular neighbourhood of the nodal set of a Laplace eigenfunction on a smooth closed Riemannian manifold. We derive an analogue of a result of Cheng in higher dimensions regarding the interior ... More

On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave EquationsAug 24 2018We consider nonlinear half-wave equations with focusing power-type nonlinearity $$ i \pt_t u = \sqrt{-\Delta} \, u - |u|^{p-1} u, \quad \mbox{with $(t,x) \in \R \times \R^d$} $$ with exponents $1 < p < \infty$ for $d=1$ and $1 < p < (d+1)/(d-1)$ for $d ... More

The Least Action and the Metric of an Organized SystemApr 20 2010In this paper we formulate the Least Action Principle for an Organized System as the minimum of the total sum of the actions of all of the elements. This allows us to see how this most basic law of physics determines the development of the system towards ... More

Speculations on events in the very early universe beyond the standard model: 0th generation stage immediately following the big bangFeb 18 2010We suggest that by virtue of the very early processes immediately following the big bang incipient 1st generation particles are created forming periodic strings to confine the quarks. These strings may be described either by the Laplace equation, due ... More

Transient and quantal nucleation in solids: a statistical approachFeb 18 2009In a recent arXiv preprint we proposed a statistical approach to the quantal effects in nucleation rate, addressed particularly to solid state physics. We now turn to transient nucleation rates incorporating either classical or quantal statistics. A similar ... More

Chirality of off-center orbital rotation: comparison with lepton spin rotationJan 22 2009We introduce and attach an orbital chirality to off-center ions in crystals and consider its implications. Its relationship with the spin chirality of leptons and possibly anions is also discussed. The feature may bring new meaning to the quantum mechanical ... More

In the quest for a global (super)symmetry breaking mechanism: an extension of the vibronic mixing process to superpartnersMar 20 2008We propose a global symmetry-breaking mechanism based on an extension of the vibronic (cooperative Jahn-Teller) effects (comprising electron-phonon superpartners) to generalize them into fermion-boson superpartners. Examples of superpairs are constructed ... More

Letter for the pressure effects on the electrostatic polarizability and dispersive binding of off-center polarons in ionic and molecular systemsFeb 12 2008The question is raised about the pressure effects on the polarizability and dispersive binding in ionic and molecular systems. As an example we take the effect of hydrostatic pressure on the energy gap of phonon-coupled two-level systems. Assuming a positive ... More

Vibronic polarons: comments on a model for the colossal field-resistance effects in manganitesDec 21 2007In addition to mechanisms already proposed to account for the formation in manganites of a small-polaron superlattice above the Curie temperature Tc and to a metallic-like sea of large polarons below Tc, we now consider other observed colossal-resistance ... More

Fine structures in the optical absorption spectra of photochemical silver in silver halides? A call for further researchOct 30 2007A survey is presented of the work done so far to check earlier claims that a fine structure may be observed to occur under certain circumstances in the impurity spectral range of the optical absorption spectra of silver halides following photostimulation ... More

Monte Carlo simulation of quantum Zeno effect in the brainDec 11 2014Environmental decoherence appears to be the biggest obstacle for successful construction of quantum mind theories. Nevertheless, the quantum physicist Henry Stapp promoted the view that the mind could utilize quantum Zeno effect to influence brain dynamics ... More

Towards universal neural nets: Gibbs machines and ACEAug 26 2015Jun 30 2016We study from a physics viewpoint a class of generative neural nets, Gibbs machines, designed for gradual learning. While including variational auto-encoders, they offer a broader universal platform for incrementally adding newly learned features, including ... More

3-D off-center Li+ rotors in alkali halides: solving for the eigenvalue problemJan 14 2009We are dealing with the long-standing problem of the eigenstates and eigenvalues of 3-D rotators by off-center impurity ions in alkali halides. The ion runs along the brim of a sombrero-like vibronic potential. The quantum-mechanical motion depending ... More

Yukawa's short-range nuclear force vs. Debye's electrostatic screeningJan 06 2009The eigenvalue problem of a short-range potential is revisited in view of the increased interest in simple models imitating the nuclear forces. This is in order to conduct calculations of vibronic energies in fermion-boson coupled systems.

Off-center impurities in alkali halides: reorientation, electric polarization and binding to F center. V. Temperature-dependent electrostatic polarizabilitiesJan 30 2008We derive and discuss expressions for the temperature-dependent electrostatic polarizabilities of off-center ions holding good under various experimental conditions. At low temperatures and electric-field strengths, all of them reasonably reduce to values ... More

Two-electron F' centers in alkali halides: a saddle point approach. I. General and semicontinuum analysesAug 16 2006The F' center in an alkali halide forms when an anion vacancy traps two electrons which is the prerequisite of a diatomic molecule. Indeed, the center may displace left or right along <110> in a (110) plane, due to its coupling to the B_{1u} vibrational ... More

Small polaron confinement revisitedMay 06 2010Confinement processes arranging small polarons into insulating periodic structures above certain conversion tempereture are considered. Vibronic (Jahn-Teller) polarons associating inherent electric & magnetic dipoles coupled to external fields lead to ... More

Nonradiative DKR processes: revisiting the theory. IV. On the controversy over a polaron state bound to an F center in alkali halidesJun 19 2007We are commenting on an earlier hypothesis of polaron states bound to F centers in alkali halides. These states increasing the effective size of the color centers, they play an active role in concentration-dependent phenomena, such as the observed quenching ... More

Nonradiative DKR processes: revisiting the theory. II. Electron-vibrational mode couplingMay 09 2007We summarize a few proposals for mixing F center states through the mediation of an appropriate symmetry-breaking vibrational mode. Electron-mode coupling energies odd-order in the mode coordinates are characteristic of the pseudo-Jahn-Teller mixing of ... More

Where Classification Fails, Interpretation RisesDec 02 2017An intriguing property of deep neural networks is their inherent vulnerability to adversarial inputs, which significantly hinders their application in security-critical domains. Most existing detection methods attempt to use carefully engineered patterns ... More

Photopolarimetrical Study of Blazar-type AGN OJ287 in 2012-2015 with the 2m RCC Telescope at NAO RozhenFeb 20 2018We present the results of a photopolarimetric study of the blazar OJ287 in the period November 2012-January 2015. Observations were conducted using the Focal Reductor FoReRo-2 of the 2-meter RCC telescope of the National Astronomical Observatory (NAO) ... More

Some extensions of the class of convex bodiesAug 13 2008May 17 2009We introduce and study a new class of $\eps$-convex bodies (extending the class of convex bodies) in metric and normed linear spaces. We analyze relations between characteristic properties of convex bodies, demonstrate how $\eps$-convex bodies connect ... More

Creation/annihilation of wormholes supported by the Sine-Gordon phantom (ghost) fieldSep 15 2009The possible process of creation/annihilation of traversable wormholes in the model with phantom (ghost) scalar field is described. It is shown that such process can be realized only for some special choice of a potential energy, in particular, for the ... More

4D static solutions with interacting phantom fieldsNov 19 2007Feb 06 2008Three static models with two interacting phantom and ghost scalar fields were considered: a model of a traversable wormhole, a brane-like model and a spherically symmetric problem. It was shown numerically that regular solutions exist for all three cases. ... More

Scalar model of SU(N) glueball à la HeisenbergFeb 21 2016Feb 25 2016Nonperturbative model of glueball is studied. The model is based on the nonperturbative quantization technique suggested by Heisenberg. 2- and 4-point Green functions for a gauge potential are expressed in terms of two scalar fields. The first scalar ... More

Survey of vibronic polarons (precursors or full blown) and their role in the universe: an enigma to be possibly solved by LHCSep 30 2008Vibronic polarons (charge carriers coupled to their produced Jahn-Teller distortions) have been extended for some time in relevance to the buildup of matter and the breakdown of supersymmetry at the early stages of the universe, as well as to a number ... More

Vibronic potentials in chemical physics: adiabatic approximation vs. supersymmetryJul 24 2008We analyze the supersymmetric features of isolated double-well potentials, both symmetric ones and ones under an asymmetric perturbation. Our studies are in concert with results obtained elsewhere. Further on, a particular interest is paid to double- ... More

Bond polarons and high-Tc superconductivity in single layer La_(2-x)Sr_xCuO_4: normal state currents and pairingMar 16 2011We use the term "bond polaron" for a phonon coupled entity which makes the link between neighboring conductive CuO_2 layers in high-Tc superconductive materials. The link is essential for the superconductivity which requires a long range phase coherence ... More

The London model of Van-der-Waals forces: what's next?Feb 22 2011London's polarization model is extended over a wide range of VdW attraction. At low temperature the VdW attraction is the main competitor to the Casimir force. As the temperature is raised, the VdW force decreases by virtue of the polsrizability falling ... More

Conceivable helical form of light propagation may signify symmetry breaking similar to Jahn-Teller effectsMar 06 2008We stress on the similarities between vibronic symmetry-breaking, due to the mixing of electronic states by phonons and leading to vibronic polarons along a helix, and the conceivable helical form of light propagation possibly arising from a symmetry ... More

Note on the oblate and prolate deformations in nuclear matter from the viewpoint of the quantum-mechanical off-center effectFeb 18 2008We consider the possibility that a quantum-mechanical off-center effect may be behind the deformed oblate and prolate shapes of nuclei in nuclear physics. In solid state physics, finite off-center displacements result from the mixing of electronic states ... More

Quantum mechanical motion of off-center ion in external magnetic fieldFeb 22 2007We consider the magnetostatic response to an external magnetic field of a crystal containing off-center ions, such as Li^+ in KCl and KBr or the apical oxygens O(A) in the LaSCO family of layered perovskites. Magnetic dipoles are deduced from the matrix ... More

Variational band theory of vibronic polarons in crystals. I. PreambleJan 30 2006We review the basic theoretical background for working out a variational band solution for vibronic polarons in crystals. It is based on the Lee-Low-Pines proposal as extended by Thomas et al. for describing Jahn-Teller polarons along a linear chain of ... More

Long-range correlation studies at the SPS energies in MC model with string fusionFeb 05 2015Studies of the ultrarelativistic collisions of hadrons and nuclei at different centrality and energy enable to explore the QCD phase diagram in a wide range of temperature and baryon density. Long-range correlation studies are considered as a tool, sensitive ... More

Strangeness production and long-range correlations in pp collisions in string fusion approachSep 22 2015The effects of string fusion on the correlations in strange particles production in proton-proton collisions at high energy are studied in the framework of a Monte Carlo string-parton model. The model is based on the strings formation in elementary dipole-dipole ... More

Modeling a nonperturbative spinor vacuum interacting with a strong gravitational waveMar 15 2015We consider the propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the Schr\"odinger equation. ... More

A four-person chess-like game without Nash equilibria in pure stationary strategiesNov 03 2014In this short note we give an example of a four-person finite positional game with perfect information that has no positions of chance and no Nash equilibria in pure stationary strategies. The corresponding directed graph has only one directed cycle and ... More

The partial Ricci flow on one-dimensional foliationsAug 05 2013Nov 27 2013A flow of metrics, $g_t$, on a manifold is a solution of a differential equation $\dt g = S(g)$, where a geometric functional $S(g)$ is a symmetric $(0,2)$-tensor usually related to some kind of curvature. The mixed sectional curvature of a foliated manifold ... More

Magnetic fields in anisotropic relativistic starsJan 26 2015Feb 28 2015Relativistic, spherically symmetric configurations consisting of a gravitating magnetized anisotropic fluid are studied. For such configurations, we obtain static equilibrium solutions with an axisymmetric, poloidal magnetic field produced by toroidal ... More

Statistical transfer rates associated with higher-symmetry potential-energy wells in solids: Application to photoinduced desorption and electrificationNov 05 2009A current series of papers on barrier-controlled and trapping processes in solids and/or at solid surfaces have laid down the emphasis onto describing the statistical event by means of the barrier currents method due to Bardeen and Christov. The present ... More

Theory of a quantum-mechanical nucleation rate: classical vs. quantal nucleationFeb 04 2009We address problems arising in supersaturated systems of small atomic particles in solids. Nucleation processes in such systems do not seem to follow the classical interpretation but may be indicative of quantal nucleation partucularly at higher supersaturations. ... More

Colossal Van der Waals small-polaron superlattice: a hint to understanding the colossal magnetoresistance and electroresistance in manganitesNov 28 2007A mechanism is proposed to explain the formation of a small-polaron superlattice above the Curie temperature in manganites. The order-disorder transition initiated by the external field at a lattice is known responsible for the colossal resistance effect. ... More

Mode-coupled barrier-controlled atomic processes in solids: a comparative studyMar 04 2009Four basic processes are envisioned, among them migration (diffusion), local rotation (reorientation), isothermic chemical reactions and nucleation. All of them are unified by a common approach to the barrier currents that has been suggested as far back ... More

Off-center defects in crystals revisited: dynamic featuresDec 10 2008A survey is presented of the dynamic features of non-itinerant off-center defects in crystals, such as rotation-like reorientation of isolated species by either impurity or host ions. The occurrence of off-center displacements in electron-vibrational ... More

Parity non-conservation in beta-decay of nuclei: revisiting experiment and theory fifty years after. IV. Parity breaking modelsNov 20 2008This part offers a survey of models proposed to cope with the symmetry-breaking challenge. Among them are the two-component neutrinos, the neutrino twins, the universal Fermi interaction, etc. Moreover, the broken discrete symmetries in physics are very ... More

Photoinduced electrification of solids. IV. Space charge effects assessedApr 30 2008Our recent arXiv preprints have described the experimental evidence for the universal occurrence of short circuit photocurrents on illumination of solid state surfaces by strongly absorbed light. A likely mechanism has been proposed based on the photodesorption ... More

Two-electron F' centers in alkali halides: A negative-U analysisSep 26 2005The existence of bound excited states of two-electron centers loosely trapped in an anion vacancy, the F' centers, is a long-standing problem of color center physics. Optical absorption bands attributed to F' centers in NaI and NaBr as observed by Baldacchini ... More

Stability and Activation Gaps of Parafermionic Hall States in the Second Landau LevelFeb 26 2001Feb 06 2002Analyzing the effective conformal field theory for the parafermionic Hall states, corresponding to filling fractions nu_k=2+k/(kM+2), k=2,3,..., M odd, we show that the even k plateaux are expected to be more stable than their odd k neighbors. The reason ... More

Relativistic quantum econophysics - new paradigms in complex systems modellingJul 07 2009This work deals with the new, relativistic direction in quantum econophysics, within the bounds of which a change of the classical paradigms in mathematical modelling of socio-economic system is offered. Classical physics proceeds from the hypothesis ... More

Propagation of gravitational waves in the nonperturbative spinor vacuumMay 23 2014Sep 02 2014The propagation of gravitational waves on the background of a nonperturbative vacuum of a spinor field is considered. It is shown that there are several distinctive features in comparison with the propagation of plane gravitational waves through empty ... More

Wormhole solutions supported by interacting dark matter and dark energyAug 13 2013Mar 10 2014We show that the presence of a nonminimal interaction between dark matter and dark energy may lead to a violation of the null energy condition and to the formation of a configuration with nontrivial topology (a wormhole). In this it is assumed that both ... More

Long-range rapidity correlations in high energy AA collisions in Monte Carlo model with string fusionAug 29 2013The magnitude of long-range correlations between observables in two separated rapidity windows, proposed as a signature of the string fusion and percolation phenomenon, is studied in the framework of non-Glauber Monte Carlo string-parton model, based ... More

Spinor braneSep 15 2009Feb 16 2010The thick brane model supported by a nonlinear spinor field is constructed. The different cases with the various values of the cosmological constant $\Lambda (< = >) 0$ are investigated. It is shown that regular analytical spinor thick brane solutions ... More

On the lower bound of the inner radius of nodal domainsJul 13 2016We discuss the asymptotic lower bound on the inner radius of nodal domains that arise from Laplacian eigenfunctions $ \phi_\lambda $ on a closed Riemannian manifold $ (M,g) $. First, in the real-analytic case we present an improvement of the currently ... More

Famed Bulgarian physicists. I. St. Petroff's Goettingen research of the photostimulated interconversions of color centers in alkali halides: the discovery of the photostimulated aggregationJan 08 2008This essay tells briefly of the life and work of one of the most successful scientists originating from a Balkan settlement whose name and popularity have greatly exceeded its realm. The word is of a discovery during WWII of the photostimulated aggregation ... More

Migration of photogenerated charge carriers in silver halides: small polaron transportMar 26 2009Nearly half a century ago, I joined an ambitious research project aimed at establishing the mechanism of photodecomposition of ionic salts. We measured the mobilities and lifetimes of photoelectrons and photoholes in silver bromide in order to get an ... More

Extended Jahn-Teller effects in fermion-boson systems revisitedMay 29 2008Following earlier suggestions, we now redefine our proposal for extending the Jahn-Teller coupling beyond the framework of the electron-phonon interactions so as to cover fermion-boson interactions on a broader energy scale. Our basic unit is an extended ... More

Vibronic solitons in a (nearly-) degenerate electronic system along a 1-D chainApr 19 2006We consider the formation and stability of the vibronic polaron arising in a degenerate or nearly degenerate electronic system coupled to an appropriate vibrational mode. We define the electron-phonon coupling as a mixing of the electronic states by the ... More

Adiabatic theory of off-center vibronic polarons: Local dynamics on a planar latticeJan 21 2006We review basic theoretical concepts and developments regarding the local and itinerant properties of off-center vibronic polarons in crystals. These include the electron self-trapping and the local rotation of the species on a square planar lattice. ... More

Heisenberg uncertainty principle and economic analogues of basic physical quantitiesNov 10 2011From positions, attained by modern theoretical physics in understanding of the universe bases, the methodological and philosophical analysis of fundamental physical concepts and their formal and informal connections with the real economic measurings is ... More

Kaluza-Klein wormholes with the compactified fifth dimensionSep 05 2013We consider wormhole solutions in five-dimensional Kaluza-Klein gravity in the presence of a massless ghost four-dimensional scalar field. The system possesses two types of topological nontriviality connected with the presence of the scalar field and ... More

Forward-backward correlations between intensive observablesNov 22 2016We demonstrate that the investigations of the forward-backward correlations between intensive observables enable to obtain more clear signal about the initial stage of hadronic interaction, e.g. about the process of string fusion, compared to usual forward-backward ... More

Dirac star in the presence of Maxwell and Proca fieldsJan 28 2019We consider configurations consisting of a gravitating nonlinear spinor field $\psi$, with a nonlinearity of the type $\lambda\left(\bar\psi\psi\right)^2$, minimally coupled to Maxwell and Proca fields through the coupling constants $Q_M$ (U(1) electric ... More

Dirac stars supported by nonlinear spinor fieldsNov 19 2018We study configurations consisting of a gravitating spinor field $\psi$ with a nonlinearity of the type $\lambda\left(\bar\psi\psi\right)^2$. To ensure spherical symmetry of the configurations, we use two spin-$\frac{1}{2}$ fields forming a spin singlet. ... More

Noncommutative Toda Chains, Hankel Quasideterminants And Painlev'e II EquationJul 23 2010Oct 19 2010We construct solutions of an infinite Toda system and an analogue of the Painlev'e II equation over noncommutative differential division rings in terms of quasideterminants of Hankel matrices.

Infinite-dimensional vector bundles in algebraic geometry (an introduction)Sep 08 2003Oct 11 2004Raynaud and Gruson showed that there is a reasonable algebro-geometric notion of family of discrete (infinite-dimensional) vector spaces. The author introduces a notion of family of Tate spaces ("Tate" means "locally linearly compact") and claims that ... More

On the notion of geometric realizationApr 04 2003May 24 2013We explain why geometric realization commutes with Cartesian products and why the geometric realization of a simplicial set (resp. cyclic set) is equipped with an action of the group of orientation preserving homeomorphisms of the segment [0,1] (resp. ... More

DG quotients of DG categoriesOct 08 2002Feb 17 2008Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt ... More