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Analytic Solution of Multi-Dimensional Schrodinger in Hot and Dense QCD Media Using SUSYQM MethodMar 06 2019The N-radial Schr\"odinger equation is analytically solved by using SUSYQM method, in which the heavy quarkonia potential is introduced at finite temperature and baryon chemical potential. The energy eigenvalue is calculated in the N-dimensional space. ... More

Dissociation of Nucleon and Heavy-Baryon in an Anisotropic Hot and Dense QCD Media Using Nikiforov-Uvarov MethodJun 24 2019By using the Nikiforov-Uvarov method, the hyper-radial Schrodinger equation is analytically solved, in which the real modified potential is employed at finite temperature and baryon chemical potential. The eigenvalue of energy and corresponding wave function ... More

Solutions of the D-dimensional Schrodinger equation with the hyperbolic Poschl Teller potential plus modified ring shaped termNov 15 2017In this paper, we solve the D-dimensional Schr\"odinger equation with hyperbolic Poschl-Teller potential plus a generalized ring-shaped potential. After the separation of variable in the hyperspherical coordinate. We used Nikiforov-Uvarov (NU) method ... More

Using the AIM for solving the nonrelativistic wave equation for new class of infinite one dimensional well with none flat bottomOct 30 2017The main goal of this work is to solve the nonrelativistic wave equation for a new potential configuration that describes the quantum states of a particle that lies within a onedimensional infinite well of width L using the Asymptotic Iteration Method ... More

Bound state solutions of D-dimensional Schrödinger equation with Eckart potential plus modified deformed Hylleraas potentialMar 30 2012We study the D-dimensional Schr\"odinger equation for Eckart plus modified deformed Hylleraas potentials using the generalized parametric form of Nikiforov-Uvarov method. We obtain energy eigenvalues and the corresponding wave function expressed in terms ... More

Exact Solutions of the Klein-Gordon Equation with Hylleraas PotentialDec 08 2011We present the exact solution of the Klein-Gordon with Hylleraas Potential using the Nikiforov-Uvarov method. We obtain explicitly the bound state energy eigenvalues and the corresponding eigen function are also obtained and expressed in terms of Jacobi ... More

Bound and scattering state of position dependent mass Klein-Gordon equation with Hulthen plus deformed-type hyperbolic potentialDec 16 2015In this article we used supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein-Gordon equation with deformed Hulthen plus deformed hyperbolical potential for arbitrary state in D-dimensions. The analytic ... More

Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensionsJan 04 2017In this paper we use the Nikiforv-Uvarov method to obtain the approximate solutions of the Klein-Gordon equation with deformed five parameter exponential type potential (DFPEP) model. We also obtain the solutions of the Schr\"odinger equation in the presence ... More

Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Yukawa potentialAug 10 2017The analytical solutions of the Klein-Gordon equation with the Yukawa potential is presented within the framework of an approximation to the centrifugal potential for any arbitrary state with the position-dependent mass using the parametric Nikiforov-Uvarov ... More

A statistical mechanical analysis on the bound state solution of an energy-dependent deformed Hulthén potential energyMay 21 2019In this article, we investigate the bound state solution of the Klein Gordon equation under mixed vector and scalar coupling of an energy-dependent deformed Hulth\'en potential in D-dimensions. We obtain a transcendental equation after we impose the boundary ... More

Exact bound state solution of the Klein Gordon equation with a position-energy dependent mass and a Coulomb-like energy dependent potential energyJul 10 2019In this manuscript, we investigate the exact bound state solution of the Klein Gordon equation with an energy-dependent Coulomb-like potential energy in the presence of position-energy dependent mass. First, we examine the case where the mixed vector ... More

Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic PotentialOct 03 2011We present the bound state solutions of the Schr\"odinger equation with generalized inverted hyperbolic potential using the Nikiforov-Uvarov method. We obtain the energy spectrum and the wave function with this potential for arbitrary - state. We show ... More

Analytical solution of the Klein Gordon equation with a Multi-parameter q-Deformed Woods-Saxon Type PotentialAug 10 2018Oct 06 2018In this manuscript, we present analytical solution of the Klein-Gordon equation with the multi-parameter q-deformed Woods-Saxon type potential energy under the spin symmetric limit in $(1+1)$ dimension. In the scattering case, we obtain the reflection ... More

Approximate -state Solutions to the Dirac Mobius Square-Yukawa and Mobius Square-quasi Yukawa Problems under Pseudospin and Spin Symmetry limits with Coulomb-like Tensor InteractionOct 30 2012In this paper, we present the Dirac equation for the Mobius-square-Yukawa potentials including the tensor interaction term within the framework of pseudospin and spin symmetry limit with arbitrary spin-orbit quantum number . We obtained the energy eigenvalues ... More

Bound State Solutions of Schrödinger Equation for a more general Woods-Saxon Potential with Arbitrary l - stateAug 04 2011The energy spectra and the wave function depending on the c-factor are investigated for a more general Woods-Saxon potential (MGWSP) with an arbitrary l - state. The wave functions are expressed in terms of the Jacobi polynomials. Two potentials are obtained ... More

Bound State Solution of Exponential-coshine screened and Morse potentialOct 17 2011The analytical solution of the Schr\"odinger equation with exponential coshine screened and Morse potential are presented. The energy eigenvalues and the corresponding wave function are obtained for several values of screening parameters. We also present ... More

Scattering state of Klein-Gordon Particles by q-parameter hyperbolic Poschl-Teller potentialOct 06 2015The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in details the solutions of the scattering and bound states. By virtue ... More

Motion of charged particles around a rotating black hole in a magnetic fieldAug 09 2002We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field has its greatest ... More

Basic Model of Purposeful KinesisJan 21 2018Feb 01 2018The notions of taxis and kinesis are introduced and used to describe two types of behavior of an organism in non-uniform conditions: (i) Taxis means the guided movement to more favorable conditions; (ii) Kinesis is the non-directional change in space ... More

Open Descendents of U(2N) Orbifolds at Rational RadiiSep 13 2000Oct 27 2000We construct explicitly the open descendants of some exceptional automorphism invariants of U(2N) orbifolds. We focus on the case N=pq, p and q prime, and on the automorphisms of the diagonal and charge conjugation invariants that exist for these values ... More

Orientation matters for NIMrepsOct 02 2002Oct 08 2002The problem of finding boundary states in CFT, often rephrased in terms of "NIMreps" of the fusion algebra, has a natural extension to CFT on non-orientable surfaces. This provides extra information that turns out to be quite useful to give the proper ... More

Pion form factor in the range -10 GeV^2 < s < 1 GeV^2Sep 25 2012Oct 26 2012Based on the field-theory-inspired approach, a new expression for the pion form factor F_pi is proposed. It takes into account the pseudoscalar meson loops $\pi^+\pi^-$ and $K\bar K$ and the mixing of $\rho(770)$ with heavier $\rho(1450)$ and $\rho(1700)$ ... More

Troubles of describing multiple pion production in chiral dynamicsSep 22 2010Generalized Hidden Local Symmetry (GHLS) model as the chiral model of pseudoscalar, vector, and axial vector mesons and their interactions containing also the couplings of strongly interacting particles with electroweak gauge bosons, is confronted with ... More

Multipion decays of omega(782) and phi(1020)Apr 12 2006Using the chiral model of pseudoscalar, vector, and axial vector mesons based on the hidden local symmetry added with the terms induced by the Wess-Zumino anomaly, the results of calculations of the branching fractions of the decays omega(782) and phi(1020) ... More

The decays omega(782), phi(1020) to 5 pi in the hidden local symmetry approachJun 19 2003Aug 26 2003The decays omega -> 2pi^+ 2pi^- pi^0 and omega -> pi^+ pi^- 3pi^0 are reconsidered in the hidden local symmetry approach (HLS) added with the anomalous terms. The decay amplitudes are analyzed in detail, paying the special attention to the Adler condition ... More

Branching ratios of the decays of psi(3770) and Upsilon(10580) into light hadronsMay 17 2005Taking into account the new data on the full width of D^{\ast\pm}(2010) and the mass difference of the charged and neutral beauty mesons B^\pm, B^0,\bar B^0, the branching ratios of the decays psi(3770), Upsilon(10580) to pi^+pi^-, K bar K, rho(omega)pi, ... More

Laboratory-Scale Simulation of Spiral Plumes in the MantleJul 03 2012On the basis of laboratory simulation a mechanism is established for the formation of the upper mantle convection spiral plumes from a hot point in the presence of a roll-type large-scale convective flow. The observed plume has horizontal sections near ... More

Degenerate Neutrinos and CP ViolationDec 30 2003We have studied mixing and masses of three left handed Majorana neutrinos in the model, which assumes exactly degenerate neutrino masses at some "neutrino unification" scale. Such a simple theoretical ansatz naturally leads to quasidegenerate neutrinos. ... More

Role of a_1(1260) resonance in multipion decays of light vector mesonsDec 06 2004Feb 17 2005The contribution of the a_1(1260) meson to the amplitudes of the decays rho(770) to 4 pi, omega(782) to 5 pi, and phi(1020) to 5 pi is analyzed in the chiral model of pseudoscalar, vector, and axial vector mesons based on the generalized hidden local ... More

Electromagnetic form factors in the J/ψmass region: The case in favor of additional resonancesJan 15 1998Jun 30 1998Using the results of our recent analysis of e^+e^- annihilation, we plot the curves for the diagonal and transition form factors of light hadrons in the time-like region up to the production threshold of an open charm quantum number. The comparison with ... More

Are Clusters as Indicators of the Cosmic Ray Anisotropy ?Nov 01 2004The clusters (doublets) in ultrahigh energy cosmic rays are considered based on Yakutsk and AGASA extensive air shower array data. The problem of cluster origin is discussed. It is found that arrival directions of the clusters can point to a cosmic ray ... More

Electromagnetic form factor of pion in the field theory inspired approachApr 21 2011Jun 20 2011A new formula for the pion form factor F_pi is proposed which takes into account the pseudoscalar meson loops and the mixing among rho(770), rho(1450), and rho(1700). The expression possesses correct analytical properties and can be used in both timelike ... More

Confronting generalized hidden local symmetry chiral model with the ALEPH data on the decay tau^- to pi^+ pi^- pi^- nu_tauMay 05 2010Sep 15 2010Generalized Hidden Local Symmetry (GHLS) model is the chiral model of pseudoscalar, vector, and axial vector mesons and their interactions. It contains also the couplings of strongly interacting particles with electroweak gauge bosons. Here, GHLS model ... More

Reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeVMar 20 2008Sep 23 2008The cross section of reaction e^+e^-\to\pi^+\pi^-\pi^+\pi^- is calculated for energies 0.65\leq \sqrt{s}\leq1 GeV in the framework of the generalized hidden local symmetry model. The calculations are compared with the data of CMD-2 and BaBaR. It is shown ... More

Exclusive hadron production in e^+e^- collisions up to the J/psi energyApr 14 1999The predictions are presented for the diagonal and transition form factors of light hadrons in the time-like region up to the production threshold of an open charm quantum number. The comparison with existing data on the decays of J/psi and psi(2S) mesons ... More

The decay omega(782) -> 5 pi in chiral theoryMar 02 2000Mar 24 2000The arguments are put forward that the many pion decays omega ->2 pi^+ 2 pi^- pi^0 and pi^+ pi^- 3 pi^0 provide an ideal test site for testing the predictions of chiral models of the vector meson decays into many pions. Using the approach based on the ... More

The multifrequency monitoring of microquasars. SS433Mar 01 2004The principal results of daily observations with the RATAN-600 radio telescope of X-ray binary with relativistic jets microquasar SS433 in 1986--2003 are presented. We have measured the flux densities at 0.96, 2.3, 3.9, 7.7, 11.2 and 21.7 GHz in different ... More

Mechanisms of the isospin-breaking decay $f_1(1285)\to f_0(980)π^0\toπ^+π^-π^0$Apr 01 2016Jun 27 2016Estimated are the contributions of the following mechanisms responsible for the decay $f_1(1285)\to f_0(980)\pi^0\to\pi^+\pi^-\pi^0$: 1) the contribution of the $a^0_0(980)-f_0(980)$ mixing, $f_1(1285)\to a_0(980)\pi^0\to (K^+K^-+K^0\bar K^0)\pi^0\to ... More

Clusters of Cosmic Rays above 4.10^19 eVJul 28 2005Arrival directions of cosmic rays with the energy E>4.10^19 eV are analyzed on the basis of the Yakutsk and AGASA extensive air shower arrays. It is supposed that the clusters can be formed as a result of fragmentation of superheavy nuclei. The consequences ... More

Pion form factor and reactions e^+e^---> omega pi^0 and e^+e^---> pi^+ pi^- pi^+ pi^- at energies up to 2-3 GeV in the many-channel approachMay 27 2013Nov 14 2013Using the field-theory-inspired expression for the pion electromagnetic form factor F_\pi, a good description of the data in the range -10<s<1 GeV^2 is obtained upon taking into account the pseudoscalar-pseudoscalar (PP) loops. When the vector-pseudoscalar ... More

Measuring the finite width and unitarity corrections to the phi-omega mixing amplitudeJun 28 1999Mar 29 2001It is shown that the phase of phi-omega interference in the reaction e^+e^- -->pi^+ pi^- pi^0 at energies close to the phi(1020) peak can be calculated in a way that is practically independent of the model of phi-omega mixing. The magnitude of the presently ... More

Heavy Isovector Resonances in e^+e^- annihilation, in the decay J/psi-->pi^+pi^-pi^0 and in the reaction K^-p-->pi^+pi^-LambdaJul 23 1996The results of an analysis are presented of some recent data on the reactions $e^+e^-\to\pi^+\pi^-\pi^+\pi^-$, $e^+e^-\to\pi^+\pi^-\pi^0\pi^0$ with the subtracted $\omega\pi^0$ events, $e^+e^-\to\omega\pi^0$, $e^+e^-\to\eta \pi^+\pi^-$, $e^+e^-\to\pi^+\pi^-$, ... More

Hidden local symmetry and the reaction e^+e^-\toπ^+π^-π^+π^- at energies \sqrt{s}\leq 1 GeVSep 23 2008Based on the generalized hidden local symmetry as the chiral model of pseudoscalar, vector, and axial vector mesons, the excitation curve of the reaction e^+e^-\to\pi^+\pi^-\pi^+\pi^- is calculated for energies in the interval 0.65\leq \sqrt{s}\leq1 GeV. ... More

Many pion decays of rho(770) and omega(782) mesons in chiral theoryMar 10 2000Sep 04 2000The decays rho(770) to 4 pi and omega(782) to 5pi are considered in detail in the approach based on the Weinberg Lagrangian obtained upon the nonlinear realization of chiral symmetry, added with the term induced by the anomalous Lagrangian of Wess and ... More

Chiral dynamics of many-pion systemsNov 09 1999Based on the Weinberg lagrangian or, in a new language, the lagrangian of hidden local symmetry added with the term induced by the anomalous lagrangian of Wess and Zumino, the dynamics of the decays rho to 4 pi and omega to 5 pi is considered. The excitation ... More

Electrostatic rogue waves in double pair plasmasSep 23 2018A nonlinear Schr\"{o}dinger equation is derived to investigate the modulational instability (MI) of ion-acoustic (IA) waves (IAWs) in a double pair plasma system containing adiabatic positive and negative ion fluids along with super-thermal electrons ... More

Self-gravitating envelope solitons in a degenerate quantum plasma systemMar 04 2018The existence and the basic features of ion-acoustic (IA) envelope solitons in a self-gravitating degenerate quantum plasma system (SG-DQPS), containing inertial non-relativistically degenerate light and heavy ion species as well as inertialess non-relativistically ... More

Model independent constraints on anomalous gauge boson self-couplings from $e^+e^-$ colliders with longitudinally polarized beamsSep 23 1994We explore the possibility of deriving model independent limits on the anomalous trilinear electroweak gauge boson couplings from high energy $e^+e^-\to W^+W^-$, by combining the cross sections for the different initial and final states polarizations ... More

On Quantum Corrections to Spinning Strings and Bethe EquationsSep 12 2005Sep 26 2005Recently, it was demonstrated that one-loop energy shifts of spinning superstrings on AdS5xS5 agree with certain Bethe equations for quantum strings at small effective coupling. However, the string result required artificial regularization by zeta-function. ... More

Vulnerabilities of Smart Grid State Estimation against False Data Injection AttackNov 11 2014In recent years, Information Security has become a notable issue in the energy sector. After the invention of The Stuxnet worm in 2010, data integrity, privacy and confidentiality has received significant importance in the real-time operation of the control ... More

On an inequality concerning the polar derivative of a polynomialSep 21 2007In this paper, we present a correct proof of an $L_p$-inequality concerning the polar derivative of a polynomial with restricted zeros. We also extend Zygmund's inequality to the polar derivative of a polynomial.

Nonstatic global string in Brans-Dicke theoryMar 06 2000Jul 19 2000Gravitational field of a nonstatic global string has been studied in the context of Brans-Dicke theory of gravity. Both the metric components and the BD scalar field are assumed to be nonseparable functions of time and space.The spacetime may or may not ... More

Nonsingular static global stringSep 09 1999Apr 12 2000A new solution for the spacetime outside the core of a U(1) static global string has been presented which is nonsingular. This is the first example of a nonsingular spacetime around a static global string.}}

An Exact Bosonization Rule for c=1 Noncritical String TheoryApr 23 2007Aug 28 2007We construct a string field theory for c=1 noncritical strings using the loop variables as the string field. We show how one can express the nonrelativistic free fermions which describes the theory, in terms of these string fields.

Quantum solvable algebras. Ideals and representations at roots of 1May 30 2001May 20 2002There studed correspondence between symplectic leaves, irreducible representations and prime ideals, which is invariant with respect to quantum adjoint action. The Conjecture of De Concini-Kac-Procesi on dimensions of irreducible representations is proved ... More

Towards real neutron star seismology: Accounting for elasticity and superfluidityMay 24 2011We study the effects of an elastic crust on the oscillation spectrum of superfluid neutron stars. Within the two fluid formalism, we consider Newtonian stellar models that include the relevant constituents of a mature neutron stars. The core is formed ... More

Nonlinear differential equations with exact solutionsNov 27 2003New problem is considered that is to find nonlinear differential equations with special solutions. Method is presented to construct nonlinear ordinary differential equations with exact solution. Crucial step to the method is the assumption that nonlinear ... More

The length of a minimal synchronizing word and the Černy conjectureMay 10 2014Sep 09 2016A word $w$ of letters on edges of underlying graph of deterministic finite automaton (DFA) is called a synchronizing word if $w$ sends all states of the automaton to a unique state. C. L. Liu and A. E. Laemmel in 1963, J. \v{C}erny in 1964 discovered ... More

Universal thermodynamics of a two-dimensional Bose gasMar 08 2012Jun 25 2012Using renormalization-group arguments we show that the low-temperature thermodynamics of a three- or two-dimensional dilute Bose gas is fully determined by a universal scaling function $\calF_d(\mu/k_BT,\tilde g(T))$ once the mass $m$ and the s-wave scattering ... More

Nonperturbative renormalization-group approach to strongly-correlated lattice bosonsJun 28 2011Oct 12 2011We present a nonperturbative renormalization-group approach to the Bose-Hubbard model. By taking as initial condition of the renormalization-group flow the (local) limit of decoupled sites, we take into account both local and long-distance fluctuations ... More

Integral equations for the correlation functions of the quantum one-dimensional Bose gasDec 25 1998The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics. These equations are closely related to the ... More

Asymptotics of the Fredholm determinant associated with the correlation functions of the quantum Nonlinear Schrodinger equationOct 23 1998The correlation functions of the quantum nonlinear Schrodinger equation can be presented in terms of a Fredholm determinant. The explicit expression for this determinant is found for the large time and long distance.

Possible quantum kinematics. II. Non-minimal caseJan 22 2010The quantum analogs of the N-dimensional Cayley-Klein spaces with different combinations of quantum and Cayley-Klein structures are described for non-minimal multipliers, which include the first and the second powers of contraction parameters in the transformation ... More

Higgsless Electroweak Theory following from the Spherical GeometryMay 31 2007A new formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The free Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full Higgsless Lagrangian of the ... More

Gauge Theories with Cayley-Klein $SO(2;j)$ and $SO(3;j)$ Gauge GroupsNov 08 2006Gauge theories with the orthogonal Cayley-Klein gauge groups $SO(2;j)$ and $SO(3;{\bf j})$ are regarded. For nilpotent values of the contraction parameters ${\bf j}$ these groups are isomorphic to the non-semisimple Euclid, Newton, Galilei groups and ... More

My Favorite Integer SequencesJul 20 2002This paper gives a brief description of the author's database of integer sequences, now over 35 years old, together with a selection of a few of the most interesting sequences in the table. Many unsolved problems are mentioned.

Hamiltonian formalism in a problem of 3-th waves hierarchyApr 12 2007By the method of discrete transformation equations of 3-th wave hierarchy are constructed. We present in explicit form two Poisson structures, which allow to construct Hamiltonian operator consequent application of which leads to all equations of this ... More

Ortogonal rotation in theory of finite-dimensional representations of quantum semisimple algebras. The case of $A_2$ algebraJul 27 2004The metohod of ortogonal rotations introduced in the previous papers of the author is used for construction of the explicit form the generators of the simple roots for quantum (and ussual) semisimple algebras. All calculations are presented in details ... More

The connection of Monge-Bateman equations with ordinary differential equations and their generalisationAug 10 1999It is shown that the Monge equation is equivalent to the ordinary differential equation $\ddot X=0$ of free motion. Equations of Monge type (with their general solutions) are connected with each ordinary differential equation of second order $\ddot X=F(\dot ... More

Order--disorder separation: Geometric revisionJul 27 2005Aug 30 2006After Boltzmann and Gibbs, the notion of disorder in statistical physics relates to ensembles, not to individual states. This disorder is measured by the logarithm of ensemble volume, the entropy. But recent results about measure concentration effects ... More

Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical DelaysMar 19 1997Jun 18 2004The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time depends on three ... More

Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processesJul 25 2014Sep 08 2014We develop a general framework for the discussion of detailed balance and analyse its microscopic background. We find that there should be two additions to the well-known $T$- or $PT$-invariance of the microscopic laws of motion: 1. Equilibrium should ... More

The Emperor's Last Clothes?Jul 21 2008Jul 26 2010We are in the middle of a remarkable paradigm shift in particle physics, a shift of opinion that occurred so slowly that some even try to deny that they changed their minds at all. It concerns a very basic question: can we expect to derive the laws of ... More

Conductivity of a clean one-dimensional wireFeb 18 2000Jun 16 2000We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be violated by ... More

On irreducible algebraic sets over linearly ordered semilatticesJan 15 2016Jan 19 2016Equations over linearly ordered semilattices are studied. For any equation $t(X)=s(X)$ we find irreducible components of its solution set and compute the average number of irreducible components of all equations in $n$ variables.

Landau-Zener Transitions in ChainsDec 12 2012Feb 21 2013We determine transition probabilities in two exactly solvable multistate Landau-Zener (LZ) models and discuss applications of our results to the theory of dynamic passage through a phase transition in the dissipationless quantum mechanical regime. In ... More

Counterintuitive transitions in the multistate Landau-Zener problem with linear level crossingsMar 16 2004Mar 28 2004We generalize the Brundobler-Elser hypothesis in the multistate Landau-Zener problem to the case when instead of a state with the highest slope of the diabatic energy level there is a band of states with an arbitrary number of parallel levels having the ... More

The Error Term of the Summatory Euler Phi FunctionJun 12 2012Dec 30 2015A sharper estimate of the summatory Euler phi function is presented in this work. It improves the established estimate in the current mathematical literature. The corresponding estimate for the normalized summatory Euler phi function, an omega result, ... More

Heavy Quarkonium Physics-Theoretical StatusNov 08 2007Nov 14 2007We briefly review the theoretical status and the open theoretical challenges in the physics of heavy quarkonium.

Stochastic vacuum model and dual theory: a comparison in the context of the heavy quarkonia potentialSep 09 1996The $Q \bar{Q}$ semirelativistic interaction in QCD can be expressed in terms of the Wilson loop and its functional derivatives. In this framework we discuss the complete (velocity and spin dependent) $1/m^2$ potential in the stochastic vacuum model and ... More

Nonperturbative interaction in qqbar bound statesSep 21 1998We report about recent progress in the treatment of bound states in QCD.

Singularity confinement for maps with the Laurent propertyFeb 03 2006Mar 30 2006The singularity confinement test is very useful for isolating integrable cases of discrete-time dynamical systems, but it does not provide a sufficient criterion for integrability. Quite recently a new property of the bilinear equations appearing in discrete ... More

O(n) invariant solutions of Abreu's equationSep 11 2002We consider a fourth order partial differential equation in n-dimensional space introduced by Abreu in the context of K\"{a}hler metrics on toric orbifolds. Similarity solutions depending only on the radial coordinate in R^n are determined in terms of ... More

On a Ring of Formal Pseudo-differential OperatorsNov 14 1999We study the notion of non-commumative higher dimensional local fields. A simplest example is the ring P of formal pseudo- differential operators. As an application we extend the KP hierarchy to the space $P^n$.

Krichever Correspondence for Algebraic SurfacesNov 14 1999In 70's there was discovered a construction how to attach to some algebraic-geometric data an infinite-dimensional subspace in the space k((z)) of the Laurent power series. The construction was successfully used in the theory of integrable systems, particularly, ... More

Variability of C III and Si III lines in the ultraviolet spectral region of the magnetic Bp star a CentauriJul 10 2011The variability of twice ionized lines of carbon and silicon in the ultraviolet spectral region of the magnetic Bp star a Centauri is investigated. This study is based on the archival {\it International Ultraviolet Explorer} data obtained through the ... More

Ultraviolet variability of the mCP star 56 ArietisApr 14 2010The spectrophotometric variability of the mCP star 56 Ari in the far-UV spectral region from 1150 \AA\ to 1980 \AA\ is investigated. This study is based on the archival {\it IUE} data obtained at different phases of the rotational cycle. The brightness ... More

Could the next generation of cosmology experiments exclude supergravity?Feb 18 2004Jun 11 2004Gravitinos are expected to be produced in any local supersymmetric model. Using their abundance prediction as a function of the reheating energy scale, it is argued that the next generation of Cosmic Microwave Background experiments could exclude supergravity ... More

AC Stark effect in ThO $H^3Δ_1$ for the electron EDM searchMay 02 2015A method and code for calculations of diatomic molecules in the external variable electromagnetic field have been developed. Code applied for calculation of systematics in the electron's electric dipole moment search experiment on ThO $H^3\Delta_1$ state ... More

Hyperfine and Zeeman interactions of the $a(1)[^3Σ^+_1]$ state of PbONov 15 2010The role of the interaction with the nearest electronic state $^3\Sigma^+_{0^-}$ on the hyperfine structure and magnetic properties of the $a(1)[^3\Sigma^+_1]$ state of PbO is assessed. The accounting for this contribution leads to difference between ... More

On creating mass/matter by extra dimensions in the Einstein-Gauss-Bonnet gravityNov 28 2009Oct 18 2010Kaluza-Klein (KK) black hole solutions in the Einstein-Gauss-Bonnet (EGB) gravity in $D$ dimensions obtained in the current series of the works by Maeda, Dadhich and Molina are examined. Interpreting their solutions, the authors claim that the mass/matter ... More

Three types of superpotentials for perturbations in the Einstein-Gauss-Bonnet gravityMay 22 2009Nov 28 2009Superpotentials (antisymmetric tensor densities) in Einstein-Gauss-Bonnet (EGB) gravity for arbitrary types of perturbations on arbitrary curved backgrounds are constructed. As a basis, the generalized conservation laws in the framework of an arbitrary ... More

The Schwarzschild black hole as a point particleMar 19 2005Jul 06 2005The description of a point mass in general relativity (GR) is given in the framework of the field formulation of GR where all the dynamical fields, including the gravitational field, are considered in a fixed background spacetime. With the use of stationary ... More

Bimodal AGNs in Bimodal GalaxiesApr 30 2007By their star content, the galaxies split out into a red and a blue population; their color index peaked around u-r=2.5 or u-r=1, respectively, quantifies the ratio of the blue stars newly formed from cold galactic gas, to the redder ones left over by ... More

On Polynomial Relations in the Heisenberg AlgebraMar 04 1994May 13 1994Polynomial relations between the generators of the classical and quantum Heisenberg algebras are presented. Some of those relations can have a meaning of the formulas of the normal ordering for the creation/annihilation operators occurred in the method ... More

Notes on the Poisson formulaNov 15 2010These notes are a part of my lectures on representations of adelic groups attached to two-dimensional schemes. They contain a study of the one-dimensional case as a preliminary step to the case of dimension two. We consider the following issues: the Tate--Iwasawa ... More

Asymptotic For Primitive Roots Producing PolynomialsSep 02 2016Oct 21 2016Let $x \geq 1$ be a large number, let $f(x) \in \mathbb{Z}[x]$ be a prime polynomial of degree $\text{deg}(f)=m$, and let $u\ne \pm 1, v^2$ be a fixed integer. Assuming the Bateman-Horn conjecture, an asymptotic counting function for the number of primes ... More

Entanglement of a Multiparticle Schroedinger Cat StateFeb 25 2004We characterize the degree of entanglement of a subsystem of $k$ particles in a $N$-two level system ($k\leq N/2$) initially prepared in a mesoscopic superposition $|\psi>=\int d\theta f(\theta) (|\phi_{1}(\theta)>^{\otimes N}+|\phi_{2}(\theta)>^{\otimes ... More

On Large Scale Properties of ManifoldsDec 08 1999We show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly embeddable in $\R^n$ or non-positively curved n-dimensional simply connected ... More

Multicritical points of the O(N) scalar theory in $2<d<4$ for large NJan 23 2018We solve analytically the renormalization-group equation for the potential of the O(N)-symmetric scalar theory in the large-N limit and in dimensions 2<d<4, in order to look for nonperturbative fixed points that were found numerically in a recent study. ... More