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White noise perturbation of locally stable dynamical systemsSep 24 2015The influence of small random perturbations on a deterministic dynamical system with a locally stable equilibrium is considered. The perturbed system is described by the It\^{o} stochastic differential equation. It is assumed that the noise does not vanish ... More

Asymptotic analysis of exit time for dynamical systems with a single well potentialJun 11 2019We study the exit time from a bounded multi-dimensional domain $\Omega$ of the stochastic process $\mathbf{Y}_\varepsilon=\mathbf{Y}_\varepsilon(t,a)$, $t\geqslant 0$, $a\in \mathcal{A}$, governed by the overdamped Langevin dynamics \begin{equation*} ... More

Capture into parametric autoresonance in the presence of noiseFeb 21 2017System of differential equations describing the initial stage of the capture of oscillatory systems into the parametric autoresonance is considered. Of special interest are solutions whose amplitude increases without bound with time. The possibility of ... More

Stabilization of unstable autoresonant modesFeb 06 2017A mathematical model describing the initial stage of the capture of oscillatory systems into autoresonance under the action of slowly varying pumping is considered. Solutions with an infinitely growing amplitude are associated with the autoresonance phenomenon. ... More

Stability of parametric autoresonance under random perturbationsFeb 28 2015A mathematical model describing the initial stage of the capture into the parametric autoresonance in nonlinear oscillating systems with a dissipation is considered. Solutions with unboundedly growing energy in time at infinity are associated with the ... More

Bifurcations of autoresonant modes in oscillating systems with combined excitationJul 17 2019A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. The autoresonance phenomenon is associated with solutions having an unboundedly ... More

Asymptotic analysis of the autoresonance capture in oscillating systems with combined excitationApr 23 2018A mathematical model of autoresonance in nonlinear systems with combined parametric and external chirped frequency excitation is considered. Solutions with a growing amplitude and a bounded phase mismatch are associated with the autoresonant capture. ... More

Antihydrogen $(\bar{\rm{H}})$ and muonic antihydrogen $(\bar{\rm{H}}_μ)$ formation in low energy three-charge-particle collisionsApr 08 2013Apr 26 2013A few-body formalism is applied for computation of two different three-charge-particle systems. The first system is a collision of a slow antiproton, $\bar{\rm{p}}$, with a positronium atom: Ps$=(e^+e^-)$ $-$ a bound state of an electron and a positron. ... More

Computer Simulations of Pulsatile Human Blood Flow Through 3D-Models of the Human Aortic Arch, Vessels of Simple Geometry and a Bifurcated Artery: Investigation of Blood Viscosity and Turbulent EffectsNov 09 2008We report computational results of blood flow through a model of the human aortic arch and a vessel of actual diameter and length. On the top of the aortic arch the branching of the %%three arteries are included: the subclavian and jugular. A realistic ... More

State resolved rotational excitation cross sections and rates in H2+H2 collisionsDec 11 2005Rotational transitions in molecular hydrogen collisions are computed. The two most recently developed potential energy surfaces for the H2-H2 system are used from the following works: 1) A.I. Boothroyd, P.G. Martin, W.J. Keogh, M.J. Peterson, J. Chem. ... More

Few-body semiclassical approach to nucleon transfer and emission reactionsJul 09 2013A three-body semiclassical model is proposed to describe the nucleon transfer and emission reactions in a heavy-ion collision. In this model the two heavy particles, i.e. nuclear cores A$_1(Z_{A_1}, M_{A_1})$ and A$_2(Z_{A_2}, M_{A_2})$, move along classical ... More

Rotational Energy Transfer in H2+H2May 23 2006Quantum-mechanical close-coupling calculations for state-to-state cross sections and thermal rates are reported for H2+H2 collisions. Two recently developed potential energy surfaces (PES) for the H2-H2 system are applied, namely, the global potential ... More

Antiproton low-energy collisions with Ps-atoms and true muonium atoms ($μ^+μ^-$)Sep 08 2013Three-charge-particle collisions with participation of ultra-slow antiprotons ($\bar{\rm{p}}$) is the subject of this work. Specifically we compute the total cross sections and corresponding thermal rates of the following three-body reactions: $\bar{\rm ... More

Close-coupling calculations of rotational energy transfer in p-H2+HDNov 22 2006We report quantum-mechanical close-coupling calculations for rotational state resolved cross sections for p-H2+HD collisions. The low temperature limit of p-H2+HD is investigated, which is of significant astrophysical interest in regard to the cooling ... More

Dynamical calculation of direct muon-transfer rates from thermalized muonic hydrogen to C^{6+} and O^{8+}Dec 17 2000We perform dynamical calculations of direct muon-transfer rates from thermalized muonic hydrogen isotopes to bare nuclei C$^{6+}$ and O$^{8+}$. For these three-body charge-transfer reactions with Coulomb interaction in the final state we use two-component ... More

Possibility of a (bi)polaron high-temperature superconductivity in Poly A/ Poly T DNA duplexesFeb 14 2013Dynamical equations for a polaron and bipolaron in a DNA duplex are obtained on the basis of Holstein-Hubbard Hamiltonian. It is shown that in a PolyA/PolyT duplex especially stable is a bipolaron state in which holes are localized on different chains ... More

Parallel computing for 4-atomic molecular dynamics calculationsFeb 03 2006We report the results of intensive numerical calculations for four atomic H2+H2 energy transfer collision. A parallel computing technique based on LAM/MPI functions is used. In this algorithm, the data is distributed to the processors according to the ... More

Simulation technique for available bandwidth estimationJul 20 2010The paper proposes a method for measuring available bandwidth, based on testing network packets of various sizes (Variable Packet Size method, VPS). The boundaries of applicability of the model have been found, which are based on the accuracy of measurements ... More

Low-energy muon-transfer reaction from hydrogen isotopes to helium isotopesFeb 07 2002Direct muon transfer in low-energy collisions of the muonic hydrogen H$_\mu$ and helium (He$^{++}$) is considered in a three-body quantum-mechanical framework of coordinate-space integro-differential Faddeev-Hahn-type equations within two- and six-state ... More

Coordinate-space Faddeev-Hahn-type approach to three-body charge transfer reactions involving exotic particlesOct 11 1999Low-energy muon-transfer cross sections and rates in collisions of muonic atoms with hydrogen isotopes are calculated using a six-state close-coupling approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic case satisfactory results ... More

Coulomb three-body systems and charge transfer collisions in a configuration-space approachAug 25 2003Some low-energy three-body muon- and electron-transfer processes are considered within the Faddeev-Hahn formulation using two-, six-, and ten-state close-coupling approximation. We test our approach in bound-state problems for systems H$_2^+$ and ($\mu^-$dd)$^+$ ... More

On the possibility of electronic DNA nanobiochipsApr 15 2013We have considered as a theoretical possibility for the development of a nanobiochip the operation principle of which is based on measuring conductance in single-stranded and double-stranded DNA. Calculations have demonstrated that in the majority of ... More

On the Possibility of Superfast Charge Transfer in DNAApr 19 2013Numerous experiments on charge transfer in DNA yield a contradictory picture of the transfer: on the one hand they suggest that it is a very slow process and the charge is almost completely localized on one Watson-Crick pair, but on the other hand they ... More

Mollow triplet: pump probe single photon spectroscopy of artificial atomsAug 19 2016Oct 13 2016We analyze a photon transport through an open waveguide side coupled to the N-photon microwave cavity with imbedded artificial atom (qubit). The qubit state is probed by a weak signal at the fundamental frequency of the waveguide. Within the formalism ... More

Low-energy direct muon transfer from H to Ne$^{10+}$, S$^{16+}$ and Ar$^{18+}$ using two-state close-coupling approximation to Faddeev-Hahn-type equationSep 11 2001We perform three-body calculation of direct muon-transfer rates from thermalized muonic hydrogen isotopes to bare nuclei Ne$^{10+}$, S$^{16+}$, and Ar$^{18+}$ employing integro-differential Faddeev-Hahn-type equations in configuration space with two-state ... More

Low-energy three-body charge transfer reactions with Coulomb interaction in the final stateOct 11 1999Three-body charge transfer reactions with Coulomb interaction in the final state are considered in the framework of coordinate-space integro-differential Faddeev-Hahn-type equations within two- and six-state close coupling approximations. The method is ... More

State-resolved rotational cross sections and thermal rate coefficients for ortho-/para-H2+HD at low temperatures and HD+HD elastic scatteringMar 28 2008Jan 23 2009Results for quantum mechanical calculations of the integral cross sections and corresponding thermal rate coefficients for para-/ortho-H2+HD collisions are presented. Because of significant astrophysical interest in regard to the cooling of primodial ... More

Iteration Procedure for the N-Dimensional System of Linear EquationsDec 25 2010A simple iteration methodology for the solution of a set of a linear algebraic equations is presented. The explanation of this method is based on a pure geometrical interpretation and pictorial representation. Convergence using this method is obtained ... More

Ultracold collisions between two light indistinguishable diatomic molecules: elastic and rotational energy transfer in HD+HDNov 10 2011Apr 20 2012A close coupling quantum-mechanical calculation is performed for rotational energy transfer in a HD+HD collision at very low energy, down to the ultracold temperatures: $T \sim 10^{-8}$ K. A global six-dimensional H$_2$-H$_2$ potential energy surface ... More

Effect of strong $\bar{\rm p}$-p nuclear forces on the rate of the low-energy three-body protonium formation reaction: $\bar{p} + H_μ(1s) \rightarrow (\bar{p} p)_α + μ^-$Jun 04 2016Jan 10 2017The effect of the strong $\bar{\rm p}$-p nuclear interaction in a three-charge-particle system with arbitrary masses is investigated. Specifically, the ($\bar{\rm p},\ \mu^-$,\ p) system is considered, where $\bar{p}$ is an antiproton, $\mu^-$ is a muon ... More

3D Computer Simulations of Pulsatile Human Blood Flows in Vessels and in the Aortic Arch: Investigation of Non-Newtonian Characteristics of Human BloodFeb 17 2008Methods of Computational Fluid Dynamics are applied to simulate pulsatile blood flow in human vessels and in the aortic arch. The non-Newtonian behaviour of the human blood is investigated in simple vessels of actual size. A detailed time-dependent mathematical ... More

Quenching of $para$-H$_2$ with an ultra-cold anti-hydrogen atom $\bar{H}_{1s}$Sep 16 2009In this work we report the results concerning calculations for quantum-mechanical rotational transitions in molecular hydrogen, H$_2$, induced by an ultra-cold ground state anti-hydrogen atom $\bar{H}_{1s}$. The calculations are accomplished using a non-reactive ... More

Low-energy quenching of positronium by heliumNov 23 1999Very low-energy scattering of orthopositronium by helium has been investigated for simultaneous study of elastic cross section and pick-off quenching rate using a model exchange potential. The present calculational scheme, while agrees with the measured ... More

Effect of strong $\bar{p}-$p nuclear forces on the rate of the low-energy three-body protonium formation reaction: $\bar{p} + {H}_μ(1s) \rightarrow (\bar{p} {p})_α + μ^-$Jun 04 2016Aug 03 2016The effect of the strong $\bar{\rm p}-$p nuclear interaction in a three-charge-particle system with arbitrary masses is investigated. Specifically, the ($\bar{\rm p},\ \mu^-$,\ p) system is considered, where $\bar{p}$ is an antiproton, $\mu^-$ is a muon ... More

Weakly bound states of neutrons in gravitational fieldsDec 24 2010In this paper a quantum-mechanical behaviour of neutrons in gravitational fields is considered. A first estimation is made using the semiclassical approximation, neglecting General Relativity, magnetic and rotation effects, for neutrons in weakly bound ... More

A comparative study of the low energy HD+o-/p-H2 rotational excitation/de-excitation collisions and elastic scatteringNov 10 2011Apr 18 2012The Diep and Johnson (DJ) H$_2$-H$_2$ potential energy surface (PES) obtained from the first principles [P. Diep, K. Johnson, J. Chem. Phys. 113, 3480 (2000); 114, 222 (2000)], has been adjusted through appropriate rotation of the three-dimensional coordinate ... More

Negative longitudinal magnetoresistance in GaAs quantum wellsOct 28 2018Negative longitudinal magnetoresistances (NLMRs) have been recently observed in a variety of topological materials and often considered to be associated with Weyl fermions that have a defined chirality. Here we report NLMRs in non-Weyl GaAs quantum wells. ... More

Low temperature HD + $ortho$-/$para$-H$_2$ inelastic scattering of astrophysical interestJun 06 2015State-selected total cross sections and thermal rate coefficients are computed for the HD + $ortho$-/$para$-H$_2$ rotational energy transfer collision at low temperatures: 2 K $\lesssim$ T $\lesssim$ 300 K. A modified H$_2$-H$_2$ potential energy surface ... More

R&D towards the CMS RPC Phase-2 upgradeJun 14 2016The high pseudo-rapidity region of the CMS muon system is covered by Cathode Strip Chambers (CSC) only and lacks redundant coverage despite the fact that it is a challenging region for muons in terms of backgrounds and momentum resolution. In order to ... More

High rate, fast timing Glass RPC for the high η CMS muon detectorsJun 04 2016Jul 22 2016The HL-LHC phase is designed to increase by an order of magnitude the amount of data to be collected by the LHC experiments. To achieve this goal in a reasonable time scale the instantaneous luminosity would also increase by an order of magnitude up to ... More

Supercritical instability of Dirac electrons in the field of two oppositely charged nucleiSep 29 2016The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the finite nuclear ... More

Can a gravitational wave and a magnetic monopole coexist?Aug 06 1997Nov 17 1997We investigate the behavior of small perturbations around the Kaluza-Klein monopole in the five dimensional space-time. We find that the even parity gravitational wave does not propagate in the five dimensional space-time with Kaluza-Klein monopole provided ... More

Superhard Phases of Simple Substances and Binary Compounds of the B-C-N-O System: from Diamond to the Latest Results (a Review)Jan 15 2011The basic known and hypothetic one- and two-element phases of the B-C-N-O system (both superhard phases having diamond and boron structures and precursors to synthesize them) are described. The attention has been given to the structure, basic mechanical ... More

On self-similar solutions of the vortex filament equationMar 05 2019We study self-similar solutions of the binormal curvature flow which governs the evolution of vortex filaments and is equivalent to the Landau-Lifshitz equation. The corresponding dynamics is described by the real solutions of $\sigma$-Painlev\'{e} IV ... More

Electrical conductivity of hot Abelian plasma with scalar charge carriersMay 20 2019We study the electrical conductivity of hot Abelian plasma containing scalar charge carriers in the leading logarithmic order in coupling constant $\alpha$ using the Boltzmann kinetic equation. The leading contribution to the collision integral is due ... More

Throughput metrics and packet delay in TCP/IP networksJul 21 2009In the paper the method for estimation of throughput metrics like available bandwidth and end-t-end capacity is supposed. This method is based on measurement of network delay $D_i$ for packets of different sizes $W_i$. The simple expression for available ... More

Quantum-mechanical treatment of $^{1}$H$^{+}$ / $^{2}$H$^{+}$ / $^{3}$H$^{+}$ ion dynamics in carbon nanotubesDec 09 2015An investigation of quantum dynamical properties was conducted for $^{1}$H$^{+}$ / $^{2}$H$^{+}$ / $^{3}$H$^{+}$ ions as they traverse through a Carbon nanotube (CNT). The investigation is focused on a Fortran based program simulating a hydrogen ion passing ... More

Stalled phase transition model of high-elastic polymerJun 19 2013The microscopic model of semi-crystalline polymer in high-elastic state is proposed. The model is based on the assumption that, below the melting temperature, the semi-crystalline polymer comprises crystal nuclei connected by stretched chain segments ... More

Quantum singularities in (2+1) dimensional matter coupled black hole spacetimesApr 15 2010Sep 16 2010Quantum singularities considered in the 3D BTZ spacetime by Pitelli and Letelier (Phys. Rev. D77: 124030, 2008) is extended to charged BTZ and 3D Einstein-Maxwell-dilaton gravity spacetimes. The occurence of naked singularities in the Einstein-Maxwell ... More

On Groups with a Supercomplemented SubgroupOct 05 2007Groups, in which every subgroup containing some fixed primary cyclic subgroup has a complement, are investigated.

Universal tool for single-photon circuits: quantum router designDec 17 2018We demonstrate that the non-Hermitian Hamiltonian approach can be used as a universal tool to design and describe a performance of single photon quantum electrodynamical circuits(cQED). As an example of the validity of this method, we calculate a novel ... More

Molecular dynamics simulation of chains mobility in polyethylene crystalJan 17 2014The mobility of polymer chains in perfect polyethylene (PE) crystal was calculated as a function of temperature and chain length through Molecular dynamics (MD) in united atom approximation. The results demonstrate that the chain mobility drastically ... More

CP Violation in Production and Decay of Supersymmetric ParticlesApr 20 2005In this thesis we analyze CP violating effects of MSSM phases in production and two-body decays of neutralinos, charginos and sfermions. For different supersymmetric processes we define and calculate CP-odd asymmetries, which base on triple products. ... More

Gamma-ray bursts, axion emission and string theory dilatonJan 14 1999The emission of axions from supernovae is an interesting possibility to account for the Gamma-Ray Bursts provided their energy can be effectively converted into electromagnetic energy elsewhere. The connection between supernova and gamma-ray bursts has ... More

Pulsation in the atmosphere of roAp starsOct 08 2008High time resolution spectroscopy of roAp stars at large telescopes has led to a major breakthrough in our understanding of magnetoacoustic pulsations in these interesting objects. New observations have allowed to uncover a number of intricate relations ... More

Spectrum synthesis for magnetic, chemically stratified stellar atmospheresJan 04 2007Modern investigations of magnetic chemically peculiar stars reveal a variety of complex processes in their atmospheres. Realistic spectrum synthesis modelling of these objects has to take into account anomalous chemical composition, strong magnetic field ... More

Pulsational line profile variation of the roAp star HR 3831Sep 15 2005We report the first comprehensive investigation of the line profile variation caused by non-radial pulsation in a magnetic oscillating chemically peculiar star. Spectrum variation of the well-known roAp star HR 3831 is detected using very high-resolution ... More

Indirect imaging of nonradial pulsations in a rapidly oscillating Ap starSep 26 2004Many types of stars show periodic variations of radius and brightness, which are commonly referred to as `stellar pulsations'. Observed pulsational characteristics are determined by fundamental stellar parameters. Consequently, investigations of stellar ... More

Magnetic fields, spots and weather in chemically peculiar starsNov 30 2007New observational techniques and sophisticated modelling methods has led to dramatic breakthroughs in our understanding of the interplay between the surface magnetism, atomic diffusion and atmospheric dynamics in chemically peculiar stars. Magnetic Doppler ... More

Observations of pulsations in roAp starsFeb 09 2007I review recent results of the observations of magnetoacoustic p-mode oscillations in roAp stars with the focus on time-resolved spectroscopic studies. Time-series spectroscopy of roAp stars reveals unexpected and diverse pulsational behaviour in the ... More

Analysis of receiving sensitivity of multi-beam antenna systems with a focal plane array (in Russian)Feb 15 2016In this paper, we present a numerical electromagnetic model of a focal plane array in combination with a multi-channel receiver. Initial experimental validation results are shown that confirm the expected predictions from the model.

Quantum Critical Phenomena, Entanglement Entropy and Hubbard Model in 1d with the Boundary Site with a Negative Chemical Potential -p and the Hubbard Coupling U PositiveSep 03 2007Recently the ground state and some excited states of the half-filled case of the 1d Hubbard model were discussed for an open chain with L sites. Authors considered the case when the boundary site has a negative chemical potential -p and the Hubbard coupling ... More

Puzzling out Neutrino Mixing Through Golden and Silver MeasurementsMay 14 2003May 19 2003We update a recent work devoted to resolve the degeneracies that appear in the simultaneous extraction of $\theta_{13}$ and $\delta$ at future Neutrino Factories (NF, that exploit the \emph{golden} channels, i.e. $\nu_e\to\nu_\mu$ ($\bar{\nu}_e\to\bar{\nu}_\mu$)) ... More

Basic Data Analysis and More - A Guided Tour Using PythonJul 25 2012In these lecture notes, a selection of frequently required statistical tools will be introduced and illustrated. They allow to post-process data that stem from, e.g., large-scale numerical simulations (aka sequence of random experiments). From a point ... More

Status Report of LPCC Forward Physics GroupOct 28 2013We report here about activities of newly formed working group aiming to define a forward and diffractive physics program at the LHC for the years to come.

From planes to spheres: About gravitational lens magnificationsJan 24 2008We discuss the classic theorem according to which a gravitational lens always produces a total magnification greater than unity. This theorem seems to contradict the conservation of total flux from a lensed source. The standard solution to this paradox ... More

Searches for SUSY with the ATLAS detectorOct 03 2009We present a review of the SUSY search strategies in ATLAS in conjunction with a readiness of the detector systems for first collision data in 2009 fall. Commissioning was performed with the LHC single beams and the cosmic ray data in 2008. The talk covers ... More

Multi-Aperture Imaging of Extrasolar Planetary SystemsDec 02 2010In this paper, we review the various ways in which an infrared stellar interferometer can be used to perform direct detection of extrasolar planetary systems. We first review the techniques based on classical stellar interferometry, where (complex) visibilities ... More

Exponential asymptotics, transseries, and generalized Borel summation for analytic rank one systems of ODE'sAug 16 2006For analytic nonlinear systems of ordinary differential equations, under some non-degeneracy and integrability conditions we prove that the formal exponential series solutions (trans-series) at an irregular singularity of rank one are Borel summable (in ... More

Topological construction of transseries and introduction to generalized Borel summabilityAug 13 2006Transseries in the sense of \'Ecalle are constructed using a topological approach. A general contractive mapping principle is formulated and proved, showing the closure of transseries under a wide class of operations. In the second part we give an overview ... More

Artificial broadening of the high-energy end of electron spectrum in supernova remnantsOct 31 2006The observed spectrum of a supernova remnant (SNR) is a superposition of many ``local'' spectra emitted by regions of SNRs that are under different physical conditions. The question remains as to whether the broadening of the high-energy end of the observed ... More

Non-Abelian Born-Infeld theory without the square rootMay 13 2005A non-Abelian Born-Infeld theory is presented. The square root structure that characterizes the Dirac-Born-Infeld (DBI) action does not appear. The procedure is based on an Abelian theory proposed by Erwin Schr\"{o}dinger that, as he showed, is equivalent ... More

Comment on Theory of Hall Effect and Electrical Transport in High-Tc Cuprates: Effects of Antiferromagnetic Spin FluctuationsDec 29 2000I point out that a magnetotransport theory on the basis of the fluctuation exchange (FLEX) approximation, which is proposed in order to explain anomalous transport properties in the normal state of high-$T_{\rm c}$ cuprate superconductors, is not compatible ... More

Analytic Form Factors of Hydrogenlike Atoms for Discrete-Continuum Transitions. I. Transitions from $nS$-StatesNov 16 2001Mar 05 2003The new approach for calculation of transition form factors of hydrogenlike atoms is proposed. The explicit expressions for form factors of transitions from bound $nS$-states to continuum in terms of the classical polynomials are derived

Shell Evolutions and Nuclear ForcesJan 07 2014During the last 30 years, and more specifically during the last 10 years, many experiments have been carried out worldwide using different techniques to study the shell evolution of nuclei far from stability. What seemed not conceivable some decades ago ... More

Correlation functions and spectral curves in models of minimal gravityOct 24 2012The correlation functions for models of minimal gravity are discussed. An algorithm is proposed for calculations of invariant ratios from formulas of residues that can be compared with the coefficients of expansion of the partition function in Liouville ... More

Ward Identities for Cooper PairsAug 03 2011Aug 17 2011Ward identities for Cooper pairs are derived. These give consistent description of electronic curent vertex and thermal current vertex.

Factorization and Lie point symmetries of general Lienard-type equation in the complex planeNov 05 2009Jul 07 2010We present a variational approach to a general Lienard-type equation in order to linearize it and, as an example, the Van der Pol oscillator is discussed. The new equation which is almost linear is factorized. The point symmetries of the deformed equation ... More

Baryon Transverse Momentum Distributions at LHC and the "Knee" in Cosmic Proton SpectrumJan 28 2013The transverse momentum spectra of hyperons from LHC experiments (ALICE, ATLAS, CMS) are considered from the point of view of Quark-Gluon String Model (QGSM) as examples of typical baryon spectra at very high energies. The LHC data at \sqrt{s} = 0.9 and ... More

Dynamical R-Matrices for Integrable MapsJul 07 1994The integrability of two symplectic maps, that can be considered as discrete-time analogs of the Garnier and Neumann systems is established in the framework of the $r$-matrix approach, starting from their Lax representation. In contrast with the continuous ... More

Quantum Boltzmann equation for a mobile impurity in a degenerate Tonks-Girardeau gasFeb 27 2014Jun 30 2014We investigate the large-time asymptotical behavior of a mobile impurity immersed in a degenerate Tonks-Girardeau gas. We derive a correct weak-coupling kinetic equation valid for arbitrary ratio of masses of gas and impurity particles. When gas particles ... More

Casimir-Polder intermolecular forces in minimal length theoriesJul 03 2007Sep 21 2007Generalized uncertainty relations are known to provide a minimal length $\hbar\sqrt{\beta}$. The effect of such minimal length in the Casimir-Polder interactions between neutral atoms (molecules) is studied. The first order correction term in the minimal ... More

Characteristic length scale and energy of a vortex line in a dilute, superfluid Fermi gasNov 22 2001We calculate the characteristic length scale of a vortex line in a dilute, superfluid gas of fermionic atoms, and find that it is in general smaller, and has a weaker density dependence than the BCS coherence length. Taking this into account, we find ... More

Recent Developments in Lattice Studies for QuarkoniaAug 20 2012After discussing results of dilepton rates and electrical conductivity obtained from continuum extrapolated results of light quark correlation functions in quenched QCD I will give a review on recent developments in lattice QCD studies for quarkonia in ... More

On Witten's global anomaly for higher SU(2) representationsSep 09 2002The spectral flow of the overlap operator is computed numerically along a particular path in gauge field space. The path connects two gauge equivalent configurations which differ by a gauge transformation in the non-trivial class of pi_4(SU(2)). The computation ... More

Static axisymmetric rings in general relativity: How diverse they areNov 10 2016Three static and axially symmetric (Weyl-type) ring singularities -- the Majumdar-Papapetrou--type (extremally charged) ring, the Bach-Weyl ring and the Appell ring -- are studied in general relativity in order to show how remarkably the geometries in ... More

Colorings of odd or even chirality on hexagonal latticesNov 09 2016We define two classes of colorings that have odd or even chirality on hexagonal lattices. This parity is an invariant in the dynamics of all loops, and explains why standard Monte-Carlo algorithms are nonergodic. We argue that adding the motion of "stranded" ... More

On the Virasoro constraints for torus knotsJul 30 2013Dec 17 2013We construct Virasoro algebra of differential operators for the Jones-Rosso matrix model. These operators generate various relations between Wilson loops. Then we discuss the con- structed operators and corresponding relations in the stability limit. ... More

On asymptotic behavior of Bell polynomials and high moments of vertex degree of random graphsApr 02 2019We study the asymptotic behavior of single variable Bell polynomials ${\cal B}_k(x)$ in the limit of infinite $k$ and $x>0$. We discuss our results in relations with the properties of the vertex degree of large Erd\H os-R\'enyi random graphs.

Coulomb correction to the spectral bremsstrahlung rate in the quantum Migdal theory of the Landau-Pomeranchuk effectSep 27 2018Oct 14 2018High-energy Coulomb corrections (CCs) to some quantities of the quantum Migdal theory of the Landau-Pomeranchuk-Migdal (LPM) effect are obtained analytically and numerically for the regimes of small and strong LPM suppression on the basis of a refined ... More

Setting of the predefined multiplier gain of a photomultiplierApr 15 2019A method to set the predefined PMT gain with high precision is described. The method supposes minimal participation of the operator. After the rough initial setting of the gain, the automated system adjusts the PMT gain within a predefined precision (up ... More

The model of methodical system and learning objectives of the foundations of mathematical informatics for students of technical universitiesJul 24 2018Introduction. Development of methodical system for training course "Foundations of mathematical informatics" plays a key role in forming the students' of technical universities competencies in mathematical informatics. So it is very important to analyze ... More

Future Lepton Hadron CollidersJul 23 2003Main parameters of future lepton-hadron colliders are estimated. Namely, THERA and Linac*LHC based ep, gamma-p, eA and FEL gamma-A colliders are considered. The physics search potential of these machines are considered.

Direct and indirect detection of WIMPsJul 26 2001We present here the principles of detection of Weakly Interacting Massive Particles, which could represent a large contribution to Dark Matter. A status of the experimental situation is given both for indirect and direct detection. In particular, the ... More

Spontaneous symmetry breaking and the flat phase of crystalline membranesJun 11 2019Crystalline membranes are one of the rare examples of bidimensional systems in which long-range order can stabilise an ordered phase in the thermodynamic limit. By a careful analysis of the Goldstone modes counting, we propose a symmetry breaking mechanism ... More

Cosmic Ray Origin: beyond the Standard Model(s). The case of Pulsar Wind Nebulae and Unidentified very high energy gamma-ray sourcesFeb 11 2018The riddle of the origin of Cosmic Rays is open since one century. Recently we got the experimental proof of hadronic acceleration in Supernovae Remnants, however new questions rised and no final answer has been provided so far. Gamma ray observations ... More

Spectral radius and fractional matchings in graphsMar 08 2016A {\it fractional matching} of a graph $G$ is a function $f$ giving each edge a number in $[0,1]$ so that $\sum_{e \in \Gamma(v)} f(e) \le 1$ for each $v\in V(G)$, where $\Gamma(v)$ is the set of edges incident to $v$. The {\it fractional matching number} ... More

On eigenvalue distribution of random matrices of Ihara zeta function of large random graphsAug 31 2015Nov 17 2016We consider the ensemble of real symmetric random matrices $H^{(n,\rho)}$ obtained from the determinant form of the Ihara zeta function of random graphs that have $n$ vertices with the edge probability $\rho/n$. We prove that the normalized eigenvalue ... More

Smooth Homogenization of Heat Equations on Tubular NeighborhoodsOct 28 2008We consider the heat equation with Dirichlet boundary conditions on the tubular neighborhood of a closed Riemannian submanifold. We show that, as the tube diameter tends to zero, a suitably rescaled and renormalized semigroup converges to a limit semigroup ... More

On asymptotic behavior of Bell polynomials and high moments of vertex degree of random graphsApr 02 2019Jul 08 2019We study the asymptotic behavior of single variable Bell polynomials ${\cal B}_k(x)$ and polynomials $\tilde {\cal B}_k(x)$ related with restricted Bell numbers in the limit of infinite $k$ and $x>0$. We discuss our results in connection with the spectral ... More