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Phonon-mediated quantum state transfer and remote qubit entanglementMar 13 2019Phonons, and in particular surface acoustic wave phonons, have been proposed as a means to coherently couple distant solid-state quantum systems. Recent experiments have shown that superconducting qubits can control and detect individual phonons in a ... More

Violating Bell's inequality with remotely-connected superconducting qubitsAug 09 2018Oct 17 2018Quantum communication relies on the efficient generation of entanglement between remote quantum nodes, due to entanglement's key role in achieving and verifying secure communications. Remote entanglement has been realized using a number of different probabilistic ... More

Quantum control of surface acoustic wave phononsApr 19 2018The superposition of quantum states is one of the hallmarks of quantum physics, and clear demonstrations of superposition have been achieved in a number of quantum systems. However, mechanical systems have remained a challenge, with only indirect demonstrations ... More

Temperature correlators in the two-component one-dimensional gasJan 03 1998The quantum nonrelativistic two-component Bose and Fermi gases with the infinitely strong point-like coupling between particles in one space dimension are considered. Time and temperature dependent correlation functions are represented in the thermodynamic ... More

Application of the Trend Filtering Algorithm in the search for multiperiodic signalsDec 15 2008During the past few years the Trend Filtering Algorithm (TFA) has become an important utility in filtering out time-dependent systematic effects in photometric databases for extrasolar planetary transit search. Here we present the extension of the method ... More

Probing Light Pseudoscalar Particles Using Synchrotron LightFeb 04 2009The need for purely laboratory-based light pseudoscalar particles searches has been emphasized many times in the literature, since astrophysical bounds on these particles rely on several assumptions to calculate the flux produced in stellar plasmas. In ... More

The Zeno and anti-Zeno effects on decay in dissipative quantum systemsDec 16 1999We point out that the quantum Zeno effect, i.e., inhibition of spontaneous decay by frequent measurements, is observable only in spectrally finite reservoirs, i.e., in cavities and waveguides, using a sequence of evolution-interrupting pulses or randomly-modulated ... More

On Quaternions and MonopolesFeb 28 1998It is shown that the quaternionic Hilbert space formulation of quantum mechanics allows a quantization, based on a generalized system of imprimitivity, that leads to a description of the motion of a quantum particle in the field of a magnetic monopole. ... More

Determination of Non-Adiabatic Scattering Wave Functions in a Born-Oppenheimer ModelJun 21 2004We study non--adiabatic transitions in scattering theory for the time dependent molecular Schroedinger equation in the Born--Oppenheimer limit. We assume the electron Hamiltonian has finitely many levels and consider the propagation of coherent states ... More

Optimization of Monte-Carlo calculations of the effective potentialMay 16 1997We study Monte Carlo calculations of the effective potential for a scalar field theory using three techniques. One of these is a new method proposed and tested for the first time. In each case we extract the renormalised quantities of the theory. The ... More

Ratios of characteristic polynomials in complex matrix modelsApr 28 2004Oct 12 2004We compute correlation functions of inverse powers and ratios of characteristic polynomials for random matrix models with complex eigenvalues. Compact expressions are given in terms of orthogonal polynomials in the complex plane as well as their Cauchy ... More

Conformal invariance in three dimensional percolationApr 27 2015Oct 02 2015The aim of the paper is to present numerical results supporting the presence of conformal invariance in three dimensional statistical mechanics models at criticality and to elucidate the geometric aspects of universality. As a case study we study three ... More

On the local radio luminosity function of galaxies. II: environmental dependences among late-type galaxiesNov 06 1998Using new extensive radio continuum surveys at 1.4 GHz (FIRST and NVSS), we derive the distribution of the radio/optical and radio/NIR luminosity (RLF) of late-type (Sa-Irr) galaxies (mp<15.7) in 5 nearby clusters of galaxies: A262, Cancer, A1367, Coma ... More

On the complete characterization of differentiation sets of integralsNov 19 2005Sep 07 2009Let $B_\theta $ be the family of rectangles in the plane $R^2$, having slope $\theta $ with the abscissa. We say a set of slopes $\Theta $ is $D$-set if there exists a function $f\in L(R^2)$, such that the basis $B_\theta $ differentiates integral of ... More

Beauty and Distance in the Stable Marriage ProblemAug 23 2000The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of such model to ... More

Violation of the Wiedemann-Franz law in clean graphene layersJun 11 2014The Wiedemann-Franz law, connecting the electronic thermal conductivity to the electrical conductivity of a disordered metal, is generally found to be well satisfied even when electron-electron (e-e) interactions are strong. In ultra-clean conductors, ... More

The Optical Gravitational Lensing Experiment. Multiple Cluster Candidates in the Large Magellanic CloudOct 16 2000We present 100 multiple cluster candidates selected from the OGLE catalog of star clusters in the Large Magellanic Cloud. Statistical analysis shows that the significant fraction of these objects may constitute physical systems. Coeval ages of 102 components ... More

The Optical Gravitational Lensing Experiment. Multiple Cluster Candidates in the Small Magellanic CloudJun 22 1999Jul 09 1999We present the list of potential multiple star clusters from the central part of the SMC. Presented systems were selected from the catalog of star clusters from the SMC. We find 23 suspected cluster pairs and 4 triple systems. The statistical analysis ... More

Sub-parsec to Mega-parsec jet emission and powerAug 07 2001Relativistic jets carry a significant fraction of the total energy budget of a radio source, rivaling the power that is extracted through accretion. A minor part of this bulk kinetic power is transformed to radiation, possibly through internal shocks ... More

Quasi-thermal Comptonization and gamma-ray burstsDec 03 1998Quasi-thermal Comptonization in internal shocks formed between relativistic shells can account for the high energy emission of gamma-ray bursts. This is in fact the dominant cooling mechanism if the typical energy of the emitting particles is achieved ... More

The Extended Chiral Bosonisation And Pion-Diquark Effective ActionMay 26 1996Jun 05 1996We consider bosonisation of the low-energy QCD based on integrating the anomaly of the extended chiral (E$\chi$) transformation which depends both on pseudoscalar meson and scalar diquark fields as parameters. The relationship between extended chiral ... More

Introduction to effective field theories. 1. Heisenberg-Euler effective theory, decoupling of heavy flavoursAug 30 2009This is the first part of lectures about effective field theories. Decoupling of heavy-particle loops is considered (heavy leptons in QED, heavy quarks in QCD).

Perturbative HQETJul 17 2003Methods of calculation of loop diagrams in Heavy Quark Effective Theory (HQET) are presented.

Recent progress on HQET lagrangianNov 09 1997HQET lagrangian up to $1/m^3$ terms is discussed. Consequences of reparameterization invariance are considered. Results for the chromomagnetic interaction coefficient at two loops, and in all orders in the large--$\beta_1$ approximation, are presented. ... More

Absence of gap for infinite half--integer spin ladders with an odd number of legsDec 15 1995A proof is presented for the absence of gap for spin $1/2$ ladders with an odd number of legs, in the infinite leg length limit. This result is relevant to the current discussion of coupled one--dimensional spin systems, a physical realization of which ... More

Unraveling the Jahn-Teller effect in Mn doped GaN using the Heyd-Scuseria-Ernzerhof hybrid functionalApr 14 2009We present an ab-initio study of the Mn substitution for Ga in GaN using the Heyd-Scuseria-Ernzerhof hybrid functional (HSE). Contrary to semi-local functionals, the majority Mn t$_{2}$ manifold splits into an occupied doublet and an unoccupied singlet ... More

Near-Infrared Galaxy Surveys in 2D, 3D & 4DAug 16 1999The completeness and reliability of the DENIS IJK survey and the EDSGC (derived from the COSMOS scans of USKT plates) are obtained by detailed cross-identifications and systematic visual inspections of conflictual classifications. The DENIS galaxy extraction ... More

Critical point and conformal anomalyMar 17 2015We study the critical point (CP) phenomenon through the increase of fluctuations related to characteristic critical mode. CP would also be identified through the production of primary photons induced by conformal anomaly of strong and electromagnetic ... More

Towards the Bose symmetry violation issueOct 28 2012We study the Bose symmetry violation through the decays of heavy vector bosons at high energies. In particular, the decay of a Z'-boson into two photons where one of the photons is the vector unparticle in the scale invariant sector is considered as a ... More

What did we know from the "ridge" in BEC at the CMSNov 29 2010Mar 12 2011We look at the new two-particle Bose-Einstein correlation (BEC) function accompanied by the color-electric flux model which can explain the "ridge" behavior in enhanced angular correlation between two identical pions at very broad rapidity with high multiplicity. ... More

The Bose-Einstein distribution functions and the multiparticle production at high energiesJun 07 2001The evolution properties of propagating particles produced at high energies in a randomly distributed environment are studied. The finite size of the phase space of the multiparticle production region as well as the chaoticity can be derived.

Thermal ratio of the disorder deviation and the space-time deconfined phase sizeJan 25 2001A systematic study of the strongly interacting matter under extreme conditions via the form of the thermal ratio of the disorder deviation is presented. The evolution of fermi- and bose- particles (quarks and gluons) is studied in the framework of multi-particle ... More

Dark photons in the decay of Higgs-like bosonJul 23 2015We study the dark matter particle, the dark photon (DP), in the decay of the Higgs-like boson. The nature of dark matter is maintained through the hidden sector including the effects of breaking of the scale invariance. The model is based on the additional ... More

To what extent should we find the chiral end point?Feb 13 2013We analyze the critical phenomena in the theory of strong interactions at high temperatures starting from first principles. The model is based on the dual Yang-Mills theory with scalar degrees of freedom - the dilatons. The latter are produced due to ... More

Gauge model of unparticlesMar 30 2009Apr 30 2009Modern theoretical models strongly suggest that new phenomena await discovery above the energy scale of the Standard Model (SM) of particle interactions. In this paper we argue that correct description of particle physics in the TeV energy scale needs ... More

Effective Dual Higgs Mechanism with Confining ForcesFeb 29 2000Mar 01 2000We consider the dual Yang-Mills theory which shows some kind of confinement at large distances. In the static system of the test color charges an analytic expression for the string tension is derived.

The Linearity of the Cosmic Expansion Field and the Value of the Hubble ConstantMar 21 1998A linearity test shows H_0 to decrease by 7% out to 18000 km/s. The value at 10000 km/s is a good approximation to the mean value of Ho over very large scales. The construction of the extragalactic distance scale is discussed. Field galaxies, cluster ... More

Spectropolarimetry of massive stars: Requirements and potential from today to 2030Sep 22 2014We develop the requirements and potential of spectropolarimetry as applied to understanding the physics of massive stars during the immediate, intermediate-term and long-term future.

New MACRO results on atmospheric neutrino oscillationsJul 12 2004Aug 19 2004The final results of the MACRO experiment on atmospheric neutrino oscillations are presented and discussed. The data concern different event topologies with average neutrino energies of ~3 and ~50 GeV. Multiple Coulomb Scattering of the high energy muons ... More

Neutrino physics and astrophysics with the MACRO detectorOct 23 2000After a brief presentation of the MACRO detector we discuss the data on atmospheric neutrinos and neutrino oscillations, on high energy (E> 1 GeV) neutrino astronomy, on indirect searches for WIMPs and low energy (E >7 MeV) stellar collapse neutrinos. ... More

Generalized Goldstone Theorem: Automatic Imposition of the Higgs Mechanism and Application to Scale and Conformal Symmetry BreakingAug 28 2000Standard discussions of Goldstone's theorem based on a symmetry of the action assume constant fields and global transformations, i.e., transformations which are independent of spacetime coordinates. By allowing for arbitrary field distributions in a general ... More

Stellar evolution with rotation XI: Wolf-Rayet star populations at different metallicitiesAug 18 2004Grids of models of massive stars ($M \ge$ 20 $M_\odot$) with rotation are computed for metallicities $Z$ ranging from that of the Small Magellanic Cloud (SMC) to that of the Galactic Centre. The hydrostatic effects of rotation, the rotational mixing and ... More

Stellar evolution with rotation X: Wolf-Rayet star populations at solar metallicityApr 03 2003We examine the properties of Wolf--Rayet (WR) stars predicted by models of rotating stars taking account of the new mass loss rates for O--type stars and WR stars (Vink et al. \cite{Vink00}, \cite{Vink01}; Nugis & Lamers \cite{NuLa00}) and of the wind ... More

Universal Tunnelling Time in photonic BarriersSep 13 2000Tunnelling transit time for a frustrated total internal reflection in a double-prism experiment was measured using microwave radiation. We have found that the transit time is of the same order of magnitude as the corresponding transit time measured either ... More

Basics of Superluminal SignalsApr 20 2001The paper elucidates the physical basis of experimental results on superluminal signal velocity. It will be made plausible that superluminal signals do not violate the principle of causality but they can shorten the luminal vacuum time span between cause ... More

A model for parton distributions in hadronsDec 29 1999The non-perturbative parton distributions in hadrons are derived from simple physical arguments resulting in an analytical expression for the valence parton distributions. The sea partons arise mainly from pions in hadronic fluctuations. The model gives ... More

An Alternative Mathematical Model For Special RelativityFeb 19 2004We present a mathematical model for a physical theory that is compatible with Einstein's Special Relativity Theory. Our model consists of three pseudo-complex dimensions, representing three real dimensions of space, dual to what could be interpreted as ... More

1+1 Dimensional Yang-Mills Theories in Light-Cone GaugeSep 24 1996Sep 30 1996In 1+1 dimensions two different formulations exist of SU(N) Yang Mills theories in light-cone gauge; only one of them gives results which comply with the ones obtained in Feynman gauge. Moreover the theory, when considered in 1+(D-1) dimensions, looks ... More

A Swendsen-Wang update algorithm for the Symanzik improved sigma modelJun 03 1995We study a generalization of Swendsen-Wang algorithm suited for Potts models with next-next-neighborhood interactions. Using the embedding technique proposed by Wolff we test it on the Symanzik improved bidimensional non-linear $\sigma$ model. For some ... More

Target mass effects in polarized deep-inelastic scatteringJul 25 1997We present a computation of nucleon mass corrections to nucleon structure functions for polarized deep-inelastic scattering. We perform a fit to existing data including mass corrections at first order in $m^2/Q^2$ and we study the effect of these corrections ... More

Fermiophobic and other non-minimal neutral Higgs bosons at the LHCMar 12 1998The phenomenology of neutral Higgs bosons from non--SUSY, extended Higgs sectors is studied in the context of the LHC, with particular attention given to the case of a fermiophobic Higgs. It is found that enhanced branching ratios to $\gamma\gamma$ and ... More

Three-body decays of Higgs bosons at LEP2 and application to a hidden fermiophobic HiggsJun 10 1998Dec 08 1998We study the decays of Higgs bosons to a lighter Higgs boson and a virtual gauge boson in the context of the non-supersymmetric Two-Higgs-Doublet-Model (2HDM). We consider the phenomenological impact at LEP2 and find that such decays, when open, may be ... More

Red giant bound on the axion-electron coupling reexaminedOct 03 1994If axions or other low-mass pseudoscalars couple to electrons (``fine structure constant'' $\alpha_a$) they are emitted from red giant stars by the Compton process $\gamma+e\to e+a$ and by bremsstrahlung $e+(Z,A)\to (Z,A)+e+a$. We construct a simple analytic ... More

Influence of Relic Neutrinos on Beta RadioactivityOct 08 2010Results of calculations of distribution and motion of dark matter are presented. Considering neutrino as one of the components of dark matter and taking into account peculiar features of the interactions of slow neutrinos with matter, allow to make the ... More

Computational Notes on the Numerical Analysis of Galactic Rotation CurvesMar 31 2014Nov 01 2014In this paper we present a brief discussion on the salient points of the computational analysis that are at the basis of the paper \cite{StSc}. The computational and data analysis have been made with the software Mathematica$^\circledR$ and presented ... More

On quantum Freidel-Maillet algebra for non-ultralocal integrable systemsMay 06 2015May 17 2015We consider the quantum algebra of transition matrices for non-ultralocal integrable systems, and show that a regularization of the singular operator products in the quantum algebra via Sklyanin's product leads to well-defined expressions, reproducing ... More

A dichotomy for a class of cyclic delay systemsJan 11 2006Two complementary analyses of a cyclic negative feedback system with delay are considered in this paper. The first analysis applies the work by Sontag, Angeli, Enciso and others regarding monotone control systems under negative feedback, and it implies ... More

Mass dependence of nuclear shadowing at small Bjorken-x from diffractive scatteringOct 17 2006We calculate the nuclear shadowing ratio for a wide range of nuclei at small Bjorken-x in the framework of Gribov theory. The coherent contribution to the (virtual) photon-nucleon cross section is obtained in terms of the diffractive dissociation cross ... More

A new powerful method for probing the atmospheres of transiting exoplanetsMar 03 2004Although atmospheric transmission spectroscopy of HD209458b with the Hubble Space Telescope has been very successful, attempts to detect its atmospheric absorption features using ground-based telescopes have so far been fruitless. Here we present a new ... More

Computer simulations of domain growth in off-critical quenches of two-dimensional binary mixturesOct 08 2002The phase separation of two-dimensional binary mixtures has been studied through numerical Langevin simulations based on a Ginzburg-Landau free energy. We have considered not symmetric mixtures with and without imposed shear flow. In the sheared case ... More

Beyond fast rate approximations: General analytic solutions to coupled transport equations during cosmic phase transitionsOct 13 2015Nov 24 2015We propose a general method to analytically solve transport equations during a cosmic phase transition without making approximations based on the assumption that any transport coefficient is large. Using the MSSM as an example we derive the solutions ... More

Higher entanglement and fidelity with a uniformly accelerated partner via non-orthogonal statesOct 10 2012We show that nonorthogonal states achieve a higher level of entanglement when one party undergoes uniform acceleration. We also show that in this regime non-orthogonal states achieve a higher fidelity for teleportation. A quantum field as observed by ... More

Thermal relics in cosmology with bulk viscosityNov 28 2014In this paper we discuss some consequences of cosmological models in which the primordial cosmic matter is described by a relativistic imperfect fluid. The latter takes into account the dissipative effects (bulk viscosity) arising from different cooling ... More

Measuring Magnetic Fields in the Solar AtmosphereJul 04 2012Since the discovery by Hale in the early 1900s that sunspots harbor strong magnetic field, magnetism has become increasingly important in our understanding of processes on the Sun and in the Heliosphere. Many current and planned instruments are capable ... More

Signature Characters for A_2 and B_2Apr 23 1992The signatures of the inner product matrices on a Lie algebra's highest weight representation are encoded in the representation's signature character. We show that the signature characters of a finite-dimensional Lie algebra's highest weight representations ... More

Input-output relations for multiport ring cavitiesJan 12 2007Quantum input-output relations for a generic $n$-port ring cavity are obtained by modeling the ring as a cascade of $n$ interlinked beam splitters. Cavity response to a beam impinging on one port is studied as a function of the beam-splitter reflectivities ... More

Evolution of twin-beam in active optical mediaNov 20 2002Feb 03 2003We study the evolution of twin-beam propagating inside active media that may be used to establish a continuous variable entangled channel between two distant users. In particular, we analyze how entanglement is degraded during propagation, and determine ... More

Squeezed Vacuum InterferometryOct 11 1995A high-sensitive interferometric scheme is presented. It is based on homodyne detection and squeezed vacuum phase properties. The resulting phase sensitivity scales as $\delta\phi \simeq {1/4} \bar{n}^{-1}$ with respect to input photons number.

Binary communication in entangled channelsOct 02 2002We analyze optical binary communication assisted by entanglement and show that: i) ideal entangled channels have smaller error probability than ideal single-mode coherent channels if the photon number of the channel is larger than one; ii) realistic entangled ... More

Optimized quantum nondemolition measurement of a field quadratureMar 19 2002We suggest an interferometric scheme assisted by squeezing and linear feedback to realize the whole class of field-quadrature quantum nondemolition measurements, from Von Neumann projective measurement to fully non-destructive non-informative one. In ... More

Two-photocurrent devicesNov 22 1996Heterodyne, eight-port homodyne and six-port homodyne detectors belong to the class of two-photocurrent devices. Their full equivalence in probing radiation field has been proved both for ideal and not fully efficient photodetectors. The output probability ... More

On stability of asymptotic property C for products and some group extensionsJul 18 2016We show that Dranishnikov's asymptotic property C is preserved by the direct product and free product of metric spaces. In particular, if $G$ and $H$ are groups with asymptotic property C, then both $G \times H$ and $G * H$ have asymptotic property C. ... More

Effects of Strong Interaction on the Electromagnetic DissociationMay 31 1996Aug 15 1996We investigate effects of strong interactions on the electromagnetic dissociation of nuclei in heavy ion collisions. We start from the eikonal approach to the equivalent photon method to describe the electromagnetic contributions to the cross section ... More

A test of Local Realism with entangled kaon pairs and without inequalitiesMay 17 2002We propose the use of entangled pairs of neutral kaons, considered as a promising tool to close the well known loopholes affecting generic Bell's inequality tests, in a specific Hardy-type experiment. Hardy's contradiction without inequalities between ... More

Photospheric and Subphotospheric Dynamics of Emerging Magnetic FluxDec 31 2008Magnetic fields emerging from the Sun's interior carry information about physical processes of magnetic field generation and transport in the convection zone. Soon after appearance on the solar surface the magnetic flux gets concentrated in sunspot regions ... More

Properties of Flares-Generated Seismic Waves on the SunDec 31 2005The solar seismic waves excited by solar flares (``sunquakes'') are observed as circular expanding waves on the Sun's surface. The first sunquake was observed for a flare of July 9, 1996, from the Solar and Heliospheric Observatory (SOHO) space mission. ... More

The Cartwheel ring under X-ray lightSep 22 2003The Cartwheel, archetypical ring galaxy with strong star formation activity concentrated in a peculiar annular structure, has been imaged with the CHANDRA ACIS-S instrument. We present here preliminary results, that confirm the high luminosity detected ... More

Turbulence, Reconnection and Cosmic Rays in Galaxy ClustersAug 10 2011Recent years have been marked by substantial changes in our understanding of magnetic turbulence and magnetic reconnection, which, in its turn induced better understanding of cosmic ray diffusion and acceleration. Current models of magnetized turbulence ... More

New exactly solvable systems with Fock symmetryMay 14 2012Mar 06 2013New superintegrable systems are presented which, like the Hydrogen atom, possess a dynamical symmetry w.r.t. algebra o(4). One of them simulates a neutral fermion with non-trivial dipole moment, interacting with the external e.m. field. This system is ... More

Higher order symmetries for linear and nonlinear Schroedinger equationsMar 05 2016We study arbitrary order symmetry operators for the linear Schr\"odinger equations with arbitrary number of spatial variables. We deduce determining equations for coefficient functions of such operators and consider in detail some cases when these equations ... More

Matrix superpotentials and superintegrable systems for arbitrary spinJan 24 2012Jan 09 2014A countable set of quantum superintegrable systems for arbitrary spin is solved explicitly using tools of supersymmetric quantum mechanics. It is shown that these systems (introduced by Pronko, J. Phys. A: Math. Theor. 40 (2007) ) include matrix shape ... More

An alternative scenario for critical scalar field collapse in $AdS_3$Oct 12 2014In the context of gravitational collapse and black hole formation, we reconsider the problem to describe analytically the critical collapse of a massless and minimally coupled scalar field in $2+1$ gravity.

Restricted Quantum Affine Symmetry of Perturbed Minimal ModelsSep 11 1991We study the structure of superselection sectors of an arbitrary perturbation of a conformal field theory. We describe how a restriction of the q-deformed $\hat{sl(2)}$ affine Lie algebra symmetry of the sine-Gordon theory can be used to derive the S-matrices ... More

Nonlinear diffusion in relativistic heavy-ion collisions?Nov 30 2017The nonequilibrium-statistical Relativistic Diffusion Model (RDM) is investigated in a generalized version with a nonlinear diffusion term. Broad rapidity distributions encountered in relativistic heavy-ion data for stopping and particle production at ... More

Homogeneous HKT and QKT manifoldsJul 24 1998We present the construction of a large class of homogeneous KT, HKT and QKT manifolds, $G/K$, using an invariant metric on $G$ and the canonical connection. For this a decomposition of the Lie algebra of $G$ is employed, which is most easily described ... More

Multi-angle Five-Brane IntersectionsJun 23 1998Oct 13 1998We find new solutions of IIA supergravity which have the interpretation of intersecting NS-5-branes at $Sp(2)$-angles on a string preserving at least 3/32 of supersymmetry. We show that the relative position of every pair of NS-5-branes involved in the ... More

Gaia, counting down to launchOct 13 2013In this contribution I provide an overview of the the European Space Agency's Gaia mission just ahead of its launch scheduled for November 2013.

Disorder and the quantum Hall ferromagnetJan 30 1998The distinguishing feature of the quantum Hall ferromagnet is the identity between the electrical and topological charge densities of a spin distortion. In addition to the wealth of physics associated with Skyrmionic excitations of the quantum Hall ferromagnet, ... More

Many-body wave scattering problems in the case of small scatterersAug 31 2012Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The case of transmission (interface) boundary conditions is ... More

Stability of solutions to some evolution problemDec 13 2010Large time behavior of solutions to abstract differential equations is studied. The corresponding evolution problem is: $$\dot{u}=A(t)u+F(t,u)+b(t), \quad t\ge 0; \quad u(0)=u_0. \qquad (*)$$ Here $\dot{u}:=\frac {du}{dt}$, $u=u(t)\in H$, $t\in \R_+:=[0,\infty)$, ... More

Tracing the pressure of the gluon plasmaOct 26 2016Being interested in how a strongly coupled system approaches asymptotic freedom, we re-examine existing precision lattice QCD results for thermodynamic properties of the gluon plasma in a large temperature range. We discuss and thoroughly test the applicability ... More

Effective Superpotential and the Renormalization Group Equation in a Supersymmetric Chern-Simons-Matter Model in the Superfield FormalismNov 22 2016Nov 24 2016We studied the Dynamical Symmetry Breaking (DSB) mechanism in a supersymmetric Chern-Simons theory in $\left(2+1\right)$ dimensions coupled to $N$ matter superfields in the superfield formalism. For this purpose, we developed a mechanism to calculate ... More

Magnetocaloric effect in integrable spin-s chainsSep 22 2010We study the magnetocaloric effect for the integrable antiferromagnetic high-spin chain. We present an exact computation of the Gr\"uneisen parameter, which is closely related to the magnetocaloric effect, for the quantum spin-s chain on the thermodynamical ... More

Remark on the theory of reproducing kernelsNov 27 1999Foundations of the theory of Hilbert spaces with reproducing kernels are discussed. It is demonstrated that the claims in the papers of S.Saitoh and in his book "Theory of reproducing kernels and applications, Pitman research notes, 189, Longman, New ... More

Continuity of solutions to operator equations with respect to a parameterAug 14 2004Oct 20 2004Let $A(k)u(k)=f(k) (1)$ be an operator equation, $X$ and $Y$ are Banach spaces, $k\in\Delta\subset\C$ is a parameter, $A(k):X\to Y$ is a map, possibly nonlinear. Sufficient conditions are given for continuity of $u(k)$ with respect to $k$. Necessary and ... More

A simple proof of the closed graph theoremJan 09 2016Assume that $A$ is a closed linear operator defined on all of a Hilbert space $H$. Then $A$ is bounded. A new short proof of this classical theorem is given on the basis of the uniform boundedness principle. The proof can be easily extended to Banach ... More

Justification of the limiting absorption principle in R2Nov 27 1999The limiting absorption principle in two-dimensional space is justified for a second-order elliptic operators. Necessary and sufficient conditions for the right-hand side are given for this principle to be valid.

A Schrödinger singular perturbation problemNov 14 2005Consider the equation $-\ve^2\Delta u_\ve+q(x)u_\ve=f(u_\ve)$ in $\R^3$, $|u(\infty)|<\infty$, $\ve=const>0$. Under what assumptions on $q(x)$ and $f(u)$ can one prove that the solution $u_\ve$ exists and $\lim_{\ve\to 0} u_\ve=u(x)$, where $u(x)$ solves ... More

On a system of partial differential equations of Monge-Kantorovich typeDec 09 2006We consider a system of PDEs of Monge-Kantorovich type arising from models in granular matter theory and in electrodynamics of hard superconductors. The existence of a solution of such system (in a regular open domain $\Omega\subset\mathbb{R}^n$), whose ... More

Fractional Iteration of Series and TransseriesFeb 11 2010We investigate compositional iteration of fractional order for transseries. For any large positive transseries $T$ of exponentiality 0, there is a family $T^{[s]}$ indexed by real numbers $s$ corresponding to teration of order $s$. It is based on Abel's ... More