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Derivation of Delay Equation Climate Models Using the Mori-Zwanzig FormalismFeb 08 2019Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad-hoc physical reasoning, such as the propagation time of waves. In this paper, the Mori-Zwanzig formalism ... More

Two-Roton Bound State in the Fractional Quantum Hall EffectApr 27 2000The true nature of the lowest-energy, long-wavelength neutral excitation of the fractional quantum Hall effect has been a long outstanding problem. In this Letter, we establish that it is a two-roton bound state.

Spontaneous Magnetization of Composite FermionsOct 19 1999It is argued that the composite fermion liquid is a promising candidate for an observation of the elusive, interaction driven magnetization first proposed by Bloch seven decades ago. In analogy to what is theoretically believed to be the case for the ... More

Transverse energy from minijets in ultrarelativistic nuclear collisions: a next-to-leading order analysisOct 27 2000We compute in next-to-leading order (NLO) perturbative QCD the amount of transverse energy produced into a rapidity region $\Delta Y$ of a nuclear collision from partons created in the few-GeV subcollisions. The NLO formulation assumes collinear factorization ... More

TBA for the Toda chainJun 15 2010We give a direct derivation of a proposal of Nekrasov-Shatashvili concerning the quantization conditions of the Toda chain. The quantization conditions are formulated in terms of solutions to a nonlinear integral equation similar to the ones coming from ... More

Density wave patterns for fermionic dipolar molecules on a square optical lattice: Mean-field-theory analysisFeb 03 2011We model a system of ultracold fermionic dipolar molecules on a two-dimensional square lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and that the dipole moment is polarized perpendicular to the plane (as in the ... More

Baryon-to-entropy ratio in very high energy nuclear collisionsOct 10 1996We compute as a function of rapidity $y$ the baryon number carried by quarks and antiquarks with $p_T > p_0 \approx$ 2 GeV produced in Pb+Pb collisions at TeV energies. The computation is carried out in lowest order QCD perturbation theory using structure ... More

The large CP phase in B(s)-anti-B(s) mixing from primary scalar unparticlesOct 06 2008Oct 16 2008In this letter we consider the case of primary scalar unparticle contributions to B(d,s) mixing. With particular emphasis on the impact of the recent hint of new physics in the measurement of the B(s) mixing phase, phi(s), we determine the allowed parameter ... More

Cycles for rational maps with good reduction outside a prescribed setApr 26 2005Jul 17 2006Let $K$ be a number field and $S$ a fixed finite set of places of $K$ containing all the archimedean ones. Let $R_S$ be the ring of $S$-integers of $K$. In the present paper we study the cycles for rational maps of $\mathbb{P}_1(K)$ of degree $\geq2$ ... More

Meron-cluster algorithms and chiral symmetry breaking in a (2+1)-d staggered fermion modelMar 27 2000The recently developed Meron-Cluster algorithm completely solves the exponentially difficult sign problem for a number of models previously inaccessible to numerical simulation. We use this algorithm in a high-precision study of a model of N=1 flavor ... More

Augmented kludge waveforms and Gaussian process regression for EMRI data analysisFeb 01 2016Extreme-mass-ratio inspirals (EMRIs) will be an important type of astrophysical source for future space-based gravitational-wave detectors. There is a trade-off between accuracy and computational speed for the EMRI waveform templates required in the analysis ... More

Bosons in Disc-Shaped Traps: From 3D to 2DOct 01 2005Oct 16 2006We present a mathematically rigorous analysis of the ground state of a dilute, interacting Bose gas in a three-dimensional trap that is strongly confining in one direction so that the system becomes effectively two-dimensional. The parameters involved ... More

Primitive tensors and convergence of an iterative process for the eigenvalues of a primitive tensorApr 14 2010Nov 18 2010An algorithm for finding the eigenvalue of a nonnegative irreducible tensor was recently proposed by Michael Ng, Liqun Qi, and Guanglu Zhou in {\it Finding the largest eigenvalue of a nonnegative tensor}. However, the authors did not prove the proposed ... More

Superhumps: Confronting Theory with ObservationMay 31 2006We review the theory and observations related to the ``superhump'' precession of eccentric accretion discs in close binary sytems. We agree with earlier work, although for different reasons, that the discrepancy between observation and dynamical theory ... More

Measuring Expansion Velocities in Type II-P SupernovaeSep 27 2011We estimate photospheric velocities of Type II-P supernovae using model spectra created with SYNOW, and compare the results with those obtained by more conventional techniques, such as cross-correlation, or measuring the absorption minimum of P Cygni ... More

Renormalization group in the internal spaceOct 28 2004Renormalization group in the internal space consists of the gradual change of the coupling constants. Functional evolution equations corresponding to the change of the mass or the coupling constant are presented in the framework of a scalar model. The ... More

Approximate Spin and Pseudospin Solutions of the Dirac equation with Rosen-Morse Potential including a Coulomb Tensor InteractionApr 26 2012By applying the Pekeris-type approximation to deal with the (pseudo or) centrifugal term, the spin and pseudospin symmetry solutions of the Dirac equation for the Rosen-Morse potential including a Coulomb-like tensor potential with arbitrary spin-orbit ... More

Percolation in quantum computation and communicationDec 11 2007This article is a draft of a book chapter of the book entitled "Quantum Percolation and Breakdown", to appear 2008.

Derivatives of meromorphic functions of finite orderJun 19 2013A result is proved concerning meromorphic functions of finite order in the plane such that all but finitely many zeros of the second derivative are zeros of the first derivative.

Non-real zeros of linear differential polynomialsJul 23 2007Lower bounds are given for the number of non-real zeros of a second order linear differential polynomial with constant coefficients in a real entire function with finitely many non-real zeros.

Monte Carlo simulation of light scattering in the atmosphere and effect of atmospheric aerosols on the point spread functionOct 07 2013We present a Monte Carlo simulation for the scattering of light in the case of an isotropic light source. The scattering phase functions are studied particularly in detail to understand how they can affect the multiple light scattering in the atmosphere. ... More

Thermodynamics of a field theory with infrared fixed point from gauge/gravity dualityDec 21 2009Jan 18 2010We use gauge/gravity duality to study the thermodynamics of a field theory with asymptotic freedom in the ultraviolet and a fixed point in the infrared. We find a high temperature quark-gluon phase and a low T conformal unparticle phase. The phase transition ... More

Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum WalkAug 10 2012Nov 09 2012Discrete-time quantum walks have been shown to simulate all known topological phases in one and two dimensions. Being periodically driven quantum systems, their topological description, however, is more complex than that of closed Hamiltonian systems. ... More

Multiplier Hopf and bi-algebrasJan 20 2009Jan 22 2009We propose a categorical interpretation of multiplier Hopf algebras, in analogy to usual Hopf algebras and bialgebras. Since the introduction of multiplier Hopf algebras by Van Daele in [A. Van Daele, Multiplier Hopf algebras, {\em Trans. Amer. Math. ... More

Starburst Galaxies in ClustersMar 08 1999The nature of the starburst phenomenon in galaxies is investigated using a narrow band color system designed to study color evolution in distant clusters. Work on zero redshift, luminous far-IR galaxies, calibrated by starburst models, demonstrates the ... More

Pre-thermalization dynamics: initial conditions for QGP at the LHC and RHIC from perturbative QCDAug 27 1997I discuss how the initial conditions for QGP-production in ultrarelativistic heavy ion collisions at the LHC and RHIC can be computed from perturbative QCD.

Minijets in ultrarelativistic heavy ion collisions at future collidersMay 15 1997The role of minijet production as initial conditions for QGP production at $\tau\sim 0.1 fm/c$ in nuclear collisions at the LHC and RHIC energies is discussed.

Initial state of the QGP from perturbative QCD + saturationNov 19 2001The production of the initial state of the QGP in very high-energy $AA$ collisions is discussed within the framework of perturbative QCD and saturation. The next-to-leading order computation of the transverse energy of minijets is reviewed. Saturation ... More

Impurity problems for steady-state nonequilibrium dynamical mean-field theoryFeb 24 2009The mapping of steady-state nonequilibrium dynamical mean-field theory from the lattice to the impurity is described in detail. Our focus is on the case with current flow under a constant dc electric field of arbitrary magnitude. In addition to formulating ... More

Quenching Bloch oscillations in a strongly correlated materialNov 07 2007Dynamical mean-field theory is generalized to solve the nonequilibrium Keldysh boundary problem: a system is started in equilibrium at a temperature T=0.1, a uniform electric field is turned on at t=0, and the system is monitored as it approaches the ... More

Dynamical mean field theory for strongly correlated inhomogeneous multilayered nanostructuresAug 10 2004Dynamical mean field theory is employed to calculate the properties of multilayered inhomogeneous devices composed of semi-infinite metallic lead layers coupled via barrier planes that are made from a strongly correlated material (and can be tuned through ... More

Core - Corona Model describes the Centrality Dependence of v_2/epsilonAug 31 2010Event by event EPOS calculations in which the expansion of the system is described by {\it ideal} hydrodynamics reproduce well the measured centrality dependence of $v_2/\epsilon_{part}$, although it has been claimed that only viscous hydrodynamics can ... More

Is the centrality dependence of the elliptic flow $v_2$ and of the average $<p_T>$ in RHIC experiments more than a Core-Corona Effect?Jan 10 2010Jul 11 2010Recently we have shown that the centrality dependence of the multiplicity of different hadron species observed in RHIC and SPS experiments can be well understood in a simple model, dubbed core-corona model. There it is assumed that those incoming nucleons ... More

Nuclear Mean Fields through Selfconsistent Semiclassical CalculationsMar 15 2002Semiclassical expansions derived in the framework of the Extended Thomas-Fermi approach for the kinetic energy density tau(r) and the spin-orbit density J(r) as functions of the local density rho(r) are used to determine the central nuclear potentials ... More

Galois equivariance and stable motivic homotopy theoryJan 19 2014Sep 23 2015For a finite Galois extension of fields L/k with Galois group G, we study a functor from the G-equivariant stable homotopy category to the stable motivic homotopy category over k induced by the classical Galois correspondence. We show that after completing ... More

The V-EUV Delay for Dwarf Nova Outbursts: A Case Study for VW Hydri, U Geminorum, and SS CygniMay 14 2001We present a parameter study using time dependent calculations of the thermal limit cycle model for dwarf nova outbursts. Our goal is to delineate the dependence of the delay between the initial rapid rise of the visual and EUV fluxes during the start ... More

End-point of the Electroweak Phase Transition using the auxiliary mass methodMay 26 1999We study the end-point of the Electroweak phase transition using the auxiliary mass method. The end point is $m_H\sim40$ (GeV) in the case $m_t=0$ (GeV) and strongly depends on the top quark mass. A first order phase transition disappears at $m_t\sim ... More

Coherent states for the quantum mechanics on a torusDec 11 2007The coherent states for the quantum mechanics on a torus and their basic properties are discussed.

On the geometry of conformal mechanicsAug 05 2011Aug 17 2011A geometric picture of conformally invariant mechanics is presented. Although the standard form of the model is recovered, the careful analysis of global geometry of phase space leads to the conclusion that, in the attractive case, the singularity related ... More

E-B Mixing in T-violating SuperconductorsMay 12 1998Oct 07 1998We analyze time reversal violating processes of the p-wave superconductor. The Landau-Ginzuburg effective action has an induced T-violating term of electromagnetic potentials which resembles the Chern-Simons term and causes a mixing between the electric ... More

Mass determination of the lightest supersymmetric partner (C-boson and C-fermion) and cold dark matterDec 21 2000Dec 30 2000%auto-ignore This paper has been withdrawn by the author(s) because somebody do not agree with my idea.

Collectivity-assisted ground state cooling of a nanomechanical resonatorDec 10 2009We discuss cooling of a nanomechanical resonator to its mechanical ground state by coupling it to a collective system of two interacting flux qubits. We find that the collectivity crucially improves cooling by two mechanisms. First, cooling transitions ... More

Finite digraphs and KMS statesMay 18 2015The paper contains a description of the KMS states and ground states of a generalized gauge action on the C*-algebra of a finite graph.

On a Theorem of Macaulay on Colons of IdealsDec 09 2002A theorem of Macaulay on colons of ideals in polynomial rings is proved for homogeneous Gorenstein algebras.

Bohr's Theorem for Monogenic Power SeriesOct 08 2007The main goal of this paper is to generalize Bohr's phenomenon from complex one-dimensional analysis to higher dimensions in the framework of Quaternionic Analysis.

Semiparametric posterior limitsMay 21 2013We review the Bayesian theory of semiparametric inference following Bickel and Kleijn (2012) and Kleijn and Knapik (2013). After an overview of efficiency in parametric and semiparametric estimation problems, we consider the Bernstein-von Mises theorem ... More

Centrality dependence of multiplicities in ultrarelativistic nuclear collisionsSep 21 2000We compute the centrality dependence of multiplicities of particles produced in ultrarelativistic nuclear collisions at various energies and atomic numbers. The computation is carried out in perturbative QCD with saturated densities of produced gluons ... More

Heavy ion collision multiplicities and gluon distribution functionsJun 28 2001Atomic number ($A$) and energy ($\roots$) scaling exponents of multiplicity and transverse energy in heavy ion collisions are analytically derived in the perturbative QCD + saturation model. The exponents depend on the small-$x$ behaviour of gluon distribution ... More

Production of transverse energy from minijets in next-to-leading order perturbative QCDFeb 01 2000Jun 13 2000We compute in next-to-leading order (NLO) perturbative QCD the transverse energy carried into the central rapidity unit of hadron or nuclear collisions by the partons freed in the few-GeV subcollisions. The formulation is based on a rapidity window and ... More

Lower limits for E_T and N_ch from pQCD & hydrodynamics at the central rapidity unit in central Au-Au collisions at RHICJun 21 1999Final state average transverse energy and charged particle multiplicity at the central rapidity unit of central Au-Au collisions at RHIC are studied within a framework of lowest order perturbative QCD and Bjorken's hydrodynamical picture. In particular, ... More

Mixed States of Composite Fermions Carrying Two and Four VorticesOct 09 2000There now exists preliminary experimental evidence for some fractions, such as $\nu$ = 4/11 and 5/13, that do not belong to any of the sequences $\nu=n/(2pn\pm 1)$, $p$ and $n$ being integers. We propose that these states are mixed states of composite ... More

Roton Instability of the Spin Wave Excitation in the Fully Polarized Quatum Hall State and the Phase Diagram at $ν= 2$Jan 04 2000We consider the effect of interactions on electrons confined to two dimensions at Landau level filling $\nu=2$, with the specific aim to determine the range of parameters where the fully polarized state is stable. We calculate the charge and the spin ... More

Controlling observables in time-dependent quantum transportJul 09 2014The theory of time-dependent quantum transport addresses the question: How do electrons flow through a junction under the influence of an external perturbation as time goes by? In this paper, we invert this question and search for a time-dependent bias ... More

Mesoscopics in Spintronics: Quantum Interference Effects in Spin-Polarized Electron TransportNov 08 2001Feb 05 2003We generalize a Landauer-type formula, using a real$\otimes$spin-space Green function technique, to treat spin-dependent transport in quantum-coherent conductors attached to two ferromagnetic contacts. The formalism is employed to study the properties ... More

Relativistic ideal Fermi gas at zero temperature and preferred frameDec 17 2007We discuss the limit T->0 of the relativistic ideal Fermi gas of luxons (particles moving with the speed of light) and tachyons (hypothetical particles faster than light) based on observations of our recent paper: K. Kowalski, J. Rembielinski and K.A. ... More

Local Cohomology of Bigraded Rees Algebras and Normal Hilbert CoefficientsJul 12 2013Let $(R,\m)$ be an analytically unramified Cohen-Macaulay local ring of dimension 2 with infinite residue field and $\ov{I}$ be the integral closure of an ideal $I$ in $R$. Necessary and sufficient conditions are given for $\ov{I^{r+1}J^{s+1}}=a\ov{I^rJ^{s+1}}+b\ov{I^{r+1}J^s}$ ... More

Structure of exciton condensates in imbalanced electron-hole bilayersNov 29 2016We investigate the possibility of excitonic superfluidity in electron-hole bilayers. We calculate the phase diagram of the system for the whole range of electron-hole density imbalance and for different degrees of electrostatic screening, using mean-field ... More

Convexity of level lines of Martin functions and applicationsOct 01 2017Jan 21 2018Let $\Omega$ be an unbounded domain in $\mathbb{R}\times\mathbb{R}^{d}.$ A positive harmonic function $u$ on $\Omega$ that vanishes on the boundary of $\Omega$ is called a Martin function. In this note, we show that, when $\Omega$ is convex, the superlevel ... More

Scalar Casimir Energies for Separable Coordinate Systems: Application to Semi-transparent Planes in an AnnulusDec 11 2009We derive a simplified general expression for the two-body scalar Casimir energy in generalized separable coordinate systems. We apply this technique to the case of radial semi-transparent planes in the annular region between two concentric Dirichlet ... More

Line identification in soft X-ray spectra of stellar coronae by comparison with the hottest white dwarf's photosphere: Procyon, alpha Cen A+B, and H1504+65Jan 13 2005H1504+65 is a young white dwarf with an effective temperature of 200,000 K and is the hottest post-AGB star ever analysed with detailed model atmospheres. Chandra LETG+HRC-S spectra have revealed the richest X-ray absorption line spectrum recorded from ... More

Turning cool star X-ray spectra upside downOct 28 2004H1504+65 is a young white dwarf with an effective temperature of 200,000 K and is the hottest post-AGB star ever analysed with detailed model atmospheres. Chandra LETG+HRC-S spectra have revealed the richest X-ray absorption line spectrum recorded from ... More

Structure in the Lyman-Alpha ForestSep 10 1997The spatial distribution of Ly-alpha forest absorption systems toward a group of 8, closely spaced QSOs has been analysed and evidence for large scale structure has been found at <z> = 2.8. Our technique is based on the first and second moments of the ... More

Real Space Multiple Scattering Calculations of Relativistic Electron Energy Loss SpectraAug 31 2007{\it Ab initio} calculations of relativistic electron energy loss spectra (REELS) are carried out using a generalization of the real-space Green's function code FEFF8 which is applicable to general aperiodic materials. Our approach incorporates relativistic ... More

Analytical studies of Spectrum Broadcast Structures in Quantum Brownian MotionMar 14 2016Spectrum Broadcast Structures are a new and fresh concept in the quantum-to-classical transition, introduced recently in the context of decoherence and the appearance of objective features in quantum mechanics. These are specific quantum state structures, ... More

Objectivisation In Simplified Quantum Brownian Motion ModelsJan 26 2015Feb 24 2015Birth of objective properties from subjective quantum world has been one of the key questions in the quantum-to-classical transition. Basing on recent results in the field, we study it in a quantum mechanical model of a boson-boson interaction-quantum ... More

Are Superhumps Good Measures of the Mass Ratio for AM CVn Systems?May 01 2007We extend recent work that included the effect of pressure forces to derive the precession rate of eccentric accretion discs in cataclysmic variables to the case of double degenerate systems. We find that the logical scaling of the pressure force in such ... More

Effective action and density functional theoryAug 10 2001Jul 09 2002The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator functional of connected ... More

Analysis of cosmic ray dataFeb 07 2000Reviews statistical methods for 1- and 2-dimensional analysis of cosmic ray data including recent Bayesian analyses.

Effective Polyakov line action from the relative weights methodJan 21 2013We apply the relative weights method (arXiv:1209.5697) to determine the effective Polyakov line action for SU(2) lattice gauge theory in the confined phase, at lattice coupling beta=2.2 and N_t=4 lattice spacings in the time direction. The effective action ... More

Helioseismic Investigation of Modeled and Observed Supergranule StructureApr 06 2015The subsurface structure of an "average" supergranule is derived from existing HMI pipeline time-distance data products and compared to the best helioseismic flow model detailed in Duvall and Hanasoge (2013). We find that significant differences exist ... More

Unfortunate TerminologyMar 01 2003The phrase "negative squared rest mass" can sometimes be found in papers on neutrinos and frequently occurs in the tachyonic literature. Consequently, some authors say that "the rest mass of tachyons is imaginary". Besides, the statement "photons have ... More

Chemical evolution of high-mass stars in close binaries. I. The eclipsing binary V453 CygniDec 19 2008The eclipsing and double-lined spectroscopic binary system V453 Cygni consists of two early B-type stars, one of which is nearing the terminal age main sequence and one which is roughly halfway through its main sequence lifetime. Accurate measurements ... More

Probing the models: Abundances for high-mass stars in binariesDec 18 2013The complexity of composite spectra of close binary star system makes study of the spectra of their component stars extremely difficult. For this reason there exists very little information on the photospheric chemical composition of stars in close binaries, ... More

Monte Carlo simulation of multiple scattered light in the atmosphereFeb 17 2014We present a Monte Carlo simulation for the scattering of light in the case of an isotropic light source. The scattering phase functions are studied particularly in detail to understand how they can affect the multiple light scattering in the atmosphere. ... More

Equilibrium points of logarithmic potentials on convex domainsJan 30 2006Let $D$ be a convex domain in the plane. Let $a_k$ be summable positive constants and let each $z_k$ lie in $D$. If the $z_k$ converge sufficiently rapidly to a boundary point of $D$ from within an appropriate Stolz angle then the function $f(z) = \sum_{k=1}^\infty ... More

Particle Ratios at CERN, BNL and GSI : Unified Description of Freeze-Out ParametersJun 22 1999It is shown that the chemical freeze-out parameters obtained at CERN/SPS, BNL/AGS and GSI/SIS energies all correspond to a unique value of 1 GeV for the average energy per hadron.

Kinetic Sunyaev-Zeldovich effect from galaxy cluster rotationAug 21 2002We show how the temperature and the polarisation of the cosmic microwave background are affected by bulk rotation of clusters of galaxies owing to the kinetic Sunyaev-Zeldovich effect. The main effects of rotation are (i) a shift of the position of the ... More

LFV and FCNC in a large tan beta SUSY-seesawJun 13 2006Jul 17 2006Realistic predictions are made for lepton flavour violating and flavour changing neutral current decays in the large tan beta regime of a SUSY-seesaw model. Lepton flavour violating neutral Higgs decays are discussed within this framework along with the ... More

Measurement of Trace I-129 Concentrations in CsI Powder and Organic Liquid Scintillator with Accelerator Mass SpectrometryDec 01 2005Levels of trace radiopurity in active detector materials is a subject of major concern in low-background experiments. Procedures were devised to measure trace concentrations of I-129 in the inorganic salt CsI as well as in organic liquid scintillator ... More

Good Reduction for Endomorphisms of the Projective Line in Terms of the Branch LocusMay 19 2015Let $K$ be a number field and $v$ a non archimedean valuation on $K$. We say that an endomorphism $\Phi\colon \mathbb{P}_1\to \mathbb{P}_1$ has good reduction at $v$ if there exists a model $\Psi$ for $\Phi$ such that $\deg\Psi_v$, the degree of the reduction ... More

CPN Models in General CoordinatesJan 16 2002An analysis of CPN models is given in terms of general coordinates or arbitrary interpolating fields.Only closed expressions made from simple functions are involved.Special attention is given to CP2 and CP4. In the first of these the retrieval of stereographic ... More

Probing the $WWγ$ vertex at hadron collidersJul 15 1999We present a new, model independent method for extracting bounds for the anomalous $\gamma WW$ couplings from hadron collider experiments. At the partonic level we introduce a set of three observables which are constructed from the unpolarized differential ... More

Effect of anisotropic hopping on the Bose Hubbard model phase diagram: strong-coupling perturbation theory on a square latticeApr 18 2008There has been a recent resurgence of experimental efforts to quantitatively determine the phase diagram of the Bose Hubbard model by carefully analyzing experiments with ultracold bosonic atoms on an optical lattice. In many realizations of these experiments, ... More

Crossover from tunneling to incoherent (bulk) transport in a correlated nanostructureJan 07 2004We calculate the junction resistance for a metal-barrier-metal device with the barrier tuned to lie just on the insulating side of the metal-insulator transition. We find that the crossover from tunneling behavior in thin barriers at low temperature to ... More

The large scale geometry of some metabelian groupsJan 16 2003We study the large scale geometry of the upper triangular subgroup of PSL(2,Z[1/n]), which arises naturally in a geometric context. We prove a quasi-isometry classification theorem and show that these groups are quasi-isometrically rigid with infinite ... More

On the dynamics of a particle on a coneApr 16 2013Apr 22 2013A detailed study of the classical and quantum mechanics of a free particle on a double cone and the particle bounded to its tip by the harmonic oscillator potential is presented.

The relativistic massless harmonic oscillatorFeb 02 2010A detailed study of the relativistic classical and quantum mechanics of the massless harmonic oscillator is presented.

Coherent states for the q-deformed quantum mechanics on a circleDec 20 2004The q-deformed coherent states for a quantum particle on a circle are introduced and their properties investigated.

Groups and nonlinear dynamical systems. Dynamics on the SU(2) groupJan 14 1998An abstract Newton-like equation on a general Lie algebra is introduced such that orbits of the Lie-group action are attracting set. This equation generates the nonlinear dynamical system satisfied by the group parameters having an attractor coinciding ... More

Unitary representations of N-conformal Galilei groupMay 21 2013Jun 13 2013All unitary irreducible representations of centrally extended (N-odd) N-conformal Galilei group are constructed. The "on-shell" action of the group is derived and shown to coincide, in special but most important case, with that obtained in: J. Gomis, ... More

The like-sign dimuon charge asymmetry in SUSY modelsJun 28 2010Feb 08 2011We study the new physics (NP) implications of the recently reported 3.2 sigma Standard Model (SM) deviation in the like-sign dimuon asymmetry at the Tevatron. Assuming that new physics only enters the B(s) mixing amplitude we explore the implications ... More

Multi-Phase Gas Dynamics in a Weak Barred PotentialOct 09 2001The structure of the interstellar medium in the central kpc region of a galaxy with a weak bar-like potential is investigated taking into account realistic cooling and heating processes and the self-gravity of the gas. Using high resolution hydrodynamical ... More

Gauge invariance of the one-loop effective action of the Higgs field in the SU(2) Higgs modelMay 27 1999Jul 29 1999The one-loop effective action of the abelian and nonabelian Higgs models has been studied in various gauges, in the context of instanton and sphaleron transition, bubble nucleation and most recently in nonequilibrium dynamics. Gauge invariance is expected ... More

Quadrupole Collective States in a Large Single-J ShellOct 21 1994We discuss the ability of the generator coordinate method (GCM) to select collective states in microscopic calculations. The model studied is a single-$j$ shell with hamiltonian containing the quadrupole-quadrupole interaction. Quadrupole collective excitations ... More

CP violation at one loop in the polarization-independent chargino production in e+e- collisionsSep 19 2007Oct 17 2007Recently Osland and Vereshagin noticed, based on sample calculations of some box diagrams, that in unpolarised e+e- collisions CP-odd effects in the non-diagonal chargino-pair production process are generated at one-loop. Here we perform a full one-loop ... More

Possible candidate of the cold dark matter and mass origin discovered from the $β$ decayNov 16 2000Dec 30 2000This paper has been withdrawn by the author(s) since somebody do not agree with my idea.

RejoinderAug 19 2011Rejoinder of "Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal" by J. N. K. Rao [arXiv:1108.2356]

On the frequentist validity of Bayesian limitsNov 25 2016Four frequentist theorems on the large-sample limit behaviour of posterior distributions are proved, for posterior consistency in metric or weak topologies; for posterior rates of convergence in metric topologies; for consistency of the Bayes factor for ... More

Hilbert Coefficients and Depth of the Associated Graded Ring of an IdealJan 31 2008In this expository paper we survey results that relate Hilbert coefficients of an m-primary ideal I in a Cohen-Macaulay local ring (R, m) with depth of the associated graded ring G(I). Several results in this area follow from two theorems of S. Huckaba ... More

Calabi-Yau threefolds of quotient typeSep 29 1999First, we classify Calabi-Yau threefolds with infinite fundamental group by means of their minimal splitting coverings introduced by Beauville, and deduce that the nef cone is a rational simplicial cone and any rational nef divisor is semi-ample if the ... More