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The Chemical Composition of Globular Clusters of Different Nature in our GalaxyApr 12 2019A catalog of Galactic globular clusters has been compiled and used to analyze relations between the chemical and kinematic parameters of the clusters. The catalog contains positions, distances, luminosities, metallicites, and horizontal-branch morphology ... More

Heterogeneity of the Population of Open Star Clusters in the GalaxyDec 07 2012Based on published data, we have compiled a catalogue of fundamental astrophysical parameters for 593 open clusters of the Galaxy. In particular, the catalogue provides the Galactic orbital elements for 500 clusters, the masses, central concentrations, ... More

Masses of RR Lyrae Stars with Different Chemical Abundances in the Galactic FieldMar 28 2019The surface gravities and effective temperatures have been added to a compilative catalog published earlier, which includes the relative abundances of several chemical elements for 100 field RR Lyrae stars. These atmoshperic parameters and evolutionary ... More

Peculiarities of the abundances of neutron-capture elements in Galactic open clustersFeb 16 2016The properties of the relative abundances of rapid and slow neutron-capture elements are studied using a catalog containing spectroscopic abundance determinations for 14~elements produced in various nuclear-synthesis processes for 90~open clusters. The ... More

Peculiarities of α-element abundances in Galactic open clustersFeb 16 2016A catalog compiling the parameters of 346 open clusters, including their metallicities, positions, ages, and velocities has been composed. The elements of the Galactic orbits for 272 of the clusters have been calculated. Spectroscopic determinations of ... More

Calibrating hydrogen-rich core-collapse supernovae for their use as distance indicators independently of type Ia supernovaeSep 08 2011Using our new general-relativistic, radiation hydrodynamics, Lagrangian code, we computed a rather extended grid of hydrogen-rich core-collapse supernova (CC-SN) models and explored the potentials of their "standardization" as distance indicators. We ... More

Two mini-band model for self-sustained oscillations of the current through resonant tunneling semiconductor superlatticesJun 11 2010A two miniband model for electron transport in semiconductor superlattices that includes scattering and interminiband tunnelling is proposed. The model is formulated in terms of Wigner functions in a basis spanned by Pauli matrices, includes electron-electron ... More

Theory of spatially inhomogneous Bloch oscillations in semiconductor superlatticesSep 30 2011In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. To demonstrate this, a Boltzmann-Poisson ... More

Noise enhanced spontaneous chaos in semiconductor superlattices at room temperatureJul 25 2014Physical systems exhibiting fast spontaneous chaotic oscillations are used to generate high-quality true random sequences in random number generators. The concept of using fast practical entropy sources to produce true random sequences is crucial to make ... More

A relativistically covariant stochastic model for systems with a fluctuating number of particlesJun 29 1998We construct a relativistically covariant stochastic model for systems of non-interacting spinless particles whose number undergoes random fluctuations. The model is compared with the canonical quantization of the free scalar field in the limit of infinite ... More

Radiation hydrodynamics of core-collapse supernovae: the "key" asset for a self-consistent modelling of these eventsSep 08 2011We have developed a specifically tailored relativistic, radiation-hydrodynamics Lagrangian code, that enables us to simulate the evolution of the main observables (light curve, evolution of photospheric velocity and temperature) in core-collapse supernova ... More

Evolution of the main observables in core-collapse supernova events: a radiation-hydrodynamical modellingSep 08 2011With the aim of clarifying the nature of the supernova events from stars having initial (at the main sequence) masses larger than $\sim 8$-$10\,M_{\odot}$, we have developed a specifically tailored radiation hydrodynamics Lagrangian code, that enables ... More

Rectification and nonlinear transport in chaotic dots and ringsJul 23 2007Nov 08 2007We investigate the nonlinear current-voltage characteristic of mesoscopic conductors and the current generated through rectification of an alternating external bias. To leading order in applied voltages both the nonlinear and the rectified current are ... More

Magnetic-field symmetries of mesoscopic nonlinear conductanceJan 01 2007We examine contributions to the dc-current of mesoscopic samples which are non-linear in applied voltage. In the presence of a magnetic field, the current can be decomposed into components which are odd (antisymmetric) and even (symmetric) under flux ... More

Charge fluctuations in open chaotic cavitiesAug 09 2005Oct 22 2005We present a discussion of the charge response and the charge fluctuations of mesoscopic chaotic cavities in terms of a generalized Wigner-Smith matrix. The Wigner-Smith matrix is well known in investigations of time-delay of quantum scattering. It is ... More

Cluster radioactivity of Th isotopes in the mean-field HFB theoryOct 24 2007Cluster radioactivity is described as a very mass asymmetric fission process. The reflection symmetry breaking octupole moment has been used in a mean field HFB theory as leading coordinate instead of the quadrupole moment usually used in standard fission ... More

Dynamics of four- versus two-terminal transport through chaotic quantum cavitiesJan 14 2010We consider multi-terminal mesoscopic transport through a well-conducting chaotic quantum cavity using random matrix theory. Four-probe resistance vanishes on the average and is not affected by weak localization. Its fluctuations are given by a single ... More

Causal Propagation of Spin-CascadesJun 30 2007We gauge the direct product of the Proca with the Dirac equation that describes the coupling to the electromagnetic field of the spin-cascade (1/2,3/2) residing in the four-vector spinor and analyze propagation of its wave fronts in terms of the Courant-Hilbert ... More

The energy level structure of a variety of one-dimensional confining potentials and the effects of a local singular perturbationMay 17 2015Motivated by current interest in quantum confinement potentials, especially with respect to the Stark spectroscopy of new types of quantum wells, we examine several novel one-dimensional singular oscillators. A Green function method is applied, the construction ... More

On the completeness of the system of root vectors for first-order systemsSep 16 2011The paper is concerned with the completeness problem of root functions of general boundary value problems for first order systems of ordinary differential equations. Namely, we introduce and investigate the class of \emph{weakly regular boundary conditions}. ... More

Spatially confined Bloch oscillations in semiconductor superlatticesApr 03 2011Jul 15 2011In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that convective nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. In this case, numerical ... More

Submillimeter and Millimeter MasersMay 30 2007Despite theoretical predictions of the existence of many submillimeter masers, and some pioneering observational discoveries over the past few decades, these lines have remained relatively unstudied due to (i) challenges associated with observing at shorter ... More

Bulk Universality and Related Properties of Hermitian Matrix ModelsMay 08 2007We give a new proof of universality properties in the bulk of spectrum of the hermitian matrix models, assuming that the potential that determines the model is globally $C^{2}$ and locally $C^{3}$ function (see Theorem \ref{t:U.t1}). The proof as our ... More

Molecular Systems with Infinite and Finite Degrees of Freedom. Part I: Multi-Scale AnalysisFeb 28 2008Feb 29 2008The paper analyses stochastic systems describing reacting molecular systems with a combination of two types of state spaces, a finite-dimensional, and an infinite dimenional part. As a typical situation consider the interaction of larger macro-molecules, ... More

Multiscale Analysis of Reaction NetworksFeb 29 2008In most natural sciences there is currently the insight that it is necessary to bridge gaps between different processes which can be observed on different scales. This is especially true in the field of chemical reactions where the abilities to form bonds ... More

Understanding the Forward Muon Deficit in Coherent Pion ProductionSep 27 2007For any inelastic process $v_{\ell} + I \to \ell^- + F$ with $m_{\ell} = 0$, the cross section at $\theta_{\ell} = 0$ is given by Adler's PCAC theorem. Inclusion of the lepton mass has a dynamical effect (``PCAC-screening'') caused by interference of ... More

Fermilab E791Oct 12 2000Fermilab E791, a very high statistics charm particle experiment, recently completed its data taking at Fermilab's Tagged Photon Laboratory. Over 20 billion events were recorded through a loose transverse energy trigger and written to 8mm tape in the the ... More

Hamiltonian Expression of Curvature Tensors in the York Canonical Basis: II) The Weyl Tensor, Weyl Scalars, the Weyl Eigenvalues and the Problem of the Observables of the Gravitational FieldJan 07 2014We find the Hamiltonian expression in the York basis of canonical ADM tetrad gravity of the 4-Weyl tensor of the asymptotically Minkowskian space-time. Like for the 4-Riemann tensor we find a radar tensor (whose components are 4-scalars due to the use ... More

Mathematical Equivalence vs. Physical Equivalence between Extended Theories of GravitationsFeb 12 2013We shall show that although Palatini f(R)-theories are equivalent to Brans-Dicke theories, still the first pass the Mercury precession of perihelia test, while the second do not. We argue that the two models are not physically equivalent due to a different ... More

Gauge Natural Formulation of Conformal Theory of GravityApr 03 2014Feb 08 2015We consider conformal gravity as a gauge natural theory. We study its conservation laws and superpotentials. We also consider the Mannheim and Kazanas spherically symmetric vacuum solution and discuss conserved quantities associated to conformal and diffeomorphism ... More

Phenomenological model of elastic distortions near the spin-Peierls transition in $CuGeO_3$Aug 17 1995A phenomenological model of the Landau type forms the basis for a study of elastic distortions near the spin-Peierls transition $T_c$ in $CuGeO_3$. The atomic displacements proposed by Hirota {\it et al.} [Phys. Rev. Lett. {\bf 73}, 736 (1994)] are accounted ... More

Turing patterns and solitary structures under global controlAug 20 1996Striped Turing patterns and solitary band and disk structures are constructed using a three-variable multiscale model with cubic nonlinearity and global control. The existence and stability conditions of regular structures are analysed using the equation ... More

Preheating of massive fermions after inflation: analytical resultsMar 06 2000Jun 09 2000Non-perturbative production of fermions after chaotic inflation has been the object of several studies in the very recent past. However, the results in the most interesting case of production of massive fermions in an expanding Universe were so far known ... More

Isotropic and Gauge Invariant Monopole Condensation in SU(2) QCDMar 21 2007Feb 28 2008I construct an isotropic, gauge invariant monopole condensate in SU(2) QCD. It provides a suitable, gauge-invariant vacuum for the dual-Meissner effect to provide QCD colour confinement without violating the isotropy of real space.

Three point SUSY Ward identities without GhostsAug 18 2004Sep 10 2004We utilise a non-local gauge transform which renders the entire action of SUSY QED invariant and respects the SUSY algebra modulo the gauge-fixing condition, to derive two- and three-point ghost-free SUSY Ward identities in SUSY QED. We use the cluster ... More

A Completely Invariant SUSY Transform of Supersymmetric QEDOct 10 2003We study the SUSY breaking of the covariant gauge-fixing term in SUSY QED and observe that this corresponds to a breaking of the Lorentz gauge condition by SUSY. Reasoning by analogy with SUSY's violation of the Wess-Zumino gauge, we argue that the SUSY ... More

Gluonic Colour Singlets in QCDAug 30 2009Jul 15 2010We argue that certain specific gluon excitations, other than conventional glueballs, can propagate freely outside of hadrons and glueballs. We begin with the result that the Abelian generators of $SU(N)$ QCD can be meaningfully isolated by the Cho-Faddeev-Niemi-Shabanov ... More

Stability of the Magnetic Monopole Condensate in three- and four-colour QCDMay 10 2006Jan 02 2007It is argued that the ground state of three- and four-colour QCD contains a monopole condensate, necessary for the dual Meissner effect to be the mechanism of confinement, and support its stability on the grounds that it gives the off-diagonal gluons ... More

Level statistics in the quantum Hall regimeAug 29 1996The statistical properties of energy eigenvalues in the critical regime of the lowest Landau band are investigated. The nearest neighbour level spacing distribution $P(s)$ and the Mehta quantity $I_0$, from which the scaling exponent $\nu$ of the correlation ... More

B -> chi_cJ K decays revisitedOct 20 2008We demonstrate that exclusive B decays to P-wave charmonium factorize in the non-relativistic limit provided that colour-octet contributions are taken into account, and estimate the branching fractions. Although there are very large uncertainties, we ... More

A Catalog of Point Sources Towards NGC 1333Apr 28 2015I present a catalog of point source objects towards NGC 1333, resolving a wide variety of confusion about source names (and occasionally positions) in the literature. I incorporate data from optical to radio wavelengths, but focus most of the effort on ... More

On relativistic jet/counterjet asymmetry in the presence of radiating jet boundary layerJul 08 2002We consider radiation of relativistic electrons accelerated within the jet extended boundary layer. Due to velocity shear across the boundary the observed jet/counterjet brightness ratio is diminished as compared to the one derived for the jet spine. ... More

A Model of Mesons based on $χ$SB in the Light-Front FrameOct 18 1994Spontaneous breaking of chiral symmetry is discussed in the light-cone framework. The essential ingredient is an infinite number of constituents near zero light-cone momentum. These high (light-cone) energy degrees of freedom freeze out and leave behind ... More

Feasibility Study of Lense-Thirring Precession in LS I +61303Mar 18 2010Very recent analysis of the radio spectral index and high energy observations have shown that the two-peak accretion/ejection microquasar model applies for LSI+61303. The fast variations of the position angle observed with MERLIN and confirmed by consecutive ... More

The Distribution of Warm Ionized Medium in GalaxiesAug 03 2010Ionized nebulae have been targets of interest since the introduction of the telescope centuries ago. These isolated, "classical" H II regions gave us some of the earliest insight into the copious feedback energy that stars inject into the interstellar ... More

A Note on DeMoivre's Quintic EquationJul 18 2009The quintic equation with real coefficients $$x^5+5ax^3+5a^2x+b=0$$ is solved in terms of radicals and the results used to sum a hypergeometric series for several arguments.

A non-linear equation from photopolymerization kineticsNov 30 2006In a medium where a photoreactive species produces N equally photoreactive radicals, by combining the Lambert-Beer law for the decay of light intensity, as a beam propagates into the medium, with the kinetic equation, one obtains a generalization of the ... More

Optimal Currents on Arbitrarily Shaped SurfacesFeb 17 2016Jun 26 2016An optimization problem has been formulated to find a resonant current extremizing various antenna parameters. The method is presented on, but not limited to, particular cases of gain $G$, quality factor $Q$, gain to quality factor ratio $G/Q$, and radiation ... More

Noise and diffusion of particles obeying asymmetric exclusion processesJul 04 2006The relation between noise and Fick's diffusion coefficient in barrier limited transport associated with hopping or tunneling mechanisms of particles obeying the asymmetric simple exclusion processes (ASEP) is physically assessed by Monte Carlo simulations. ... More

Rigidity for periodic magnetic fieldsFeb 02 1999We study the motion of a charge on a conformally flat Riemannian torus in the presence of magnetic field. We prove that for any non-zero magnetic field there always exist orbits of this motion which have conjugate points. We conjecture that the restriction ... More

Chiral Quantization of the WZW $SU(n)$ ModelMay 14 1996Jan 15 1997We quantize the $SU(n)$ Wess-Zumino-Witten model in terms of left and right chiral variables choosing an appropriate gauge and we compare our results with the results that have been previously obtained in the algebraic treatment of the problem. The algebra ... More

Asteroids dimensions and the Truncated Pareto distributionOct 02 2012In this chapter first the statistics of the standard and truncated Pareto distributions are derived and used to fit empirical values of asteroids diameters from different families, namely, Koronis, Eos and Themis, and from the Astorb database. A theoretical ... More

Remarks on the use of projected densities in the density dependent part of Skyrme or Gogny functionalsMar 15 2010I discuss the inadequacy of the "projected density" prescription to be used in density dependent forces/functionals when calculations beyond mean field are pursued. The case of calculations aimed at the symmetry restoration of mean fields obtained with ... More

Two lectures on heavy quark production in hadronic collisionsNov 14 1997These lectures present a pedagogical introduction to the physics of heavy-flavour production in hadronic collisions. The first lecture gives the theoretical background, with a discussion of leading-order calculations and of the effects of next-to-leading-order ... More

Toward an Infinite-component Field Theory with a Double Symmetry: Interaction of FieldsOct 13 2002We complete the first stage of constructing a theory of fields not investigated before; these fields transform according to Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible representations. We consider ... More

Effective inter-band coupling in MgB2 due to anharmonic phononsFeb 14 2003We investigate the origin of the inter-band coupling in MgB2 by focusing on its unusual phononic features, namely, the strong anharmonicity of the phonons and the presence of both linear and quadratic electron-phonon interactions of the Su-Schrieffer-Heeger ... More

Evolution of X-ray emission from young massive star clustersMay 25 2005The evolution of X-ray emission from young massive star clusters is modeled, taking into account the emission from the stars as well as from the cluster wind. It is shown that the level and character of the soft (0.2-10 keV) X-ray emission change drastically ... More

Szegö-type Theorems for One-Dimensional Schrodinger Operator with Random Potential (smooth case)Sep 13 2018The paper is a continuation of work [15] in which the general setting for analogs of the Szeg\"o theorem for ergodic operators was given and several interesting cases were considered. Here we extend the results of [15] to a wider class of test functions ... More

Phase Diagrams for Deformable Toroidal and Spherical Surfaces with Intrinsic Orientational OrderOct 03 1994A theoretical study of toroidal membranes with various degrees of intrinsic orientational order is presented at mean-field level. The study uses a simple Ginzburg-Landau style free energy functional, which gives rise to a rich variety of physics and reveals ... More

Perturbative polydispersity: Phase equilibria of near-monodisperse systemsJul 21 2000The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By developing ... More

Gaussian quantum fluctuations in the superfluid-Mott phase transitionAug 28 2018Jan 23 2019Recent advances in cooling techniques make now possible the experimental study of quantum phase transitions, which are transitions near absolute zero temperature accessed by varying a control parameter. A paradigmatic example is the superfluid-Mott transition ... More

Auxetic two-dimensional lattice with Poisson's Ratio arbitrarily close to -1Jul 21 2014In this paper we propose a new lattice structure having macroscopic Poisson's ratio arbitrarily close to the stability limit -1. We tested experimentally the effective Poisson's ratio of the micro-structured medium; the uniaxial test has been performed ... More

Coulomb induced diffraction of energetic hadrons into jetsAug 27 2002The electromagnetic (e.m.) current conservation and renormalizability of QCD are used to calculate the amplitude of energetic hadron(photon) diffraction into several jets with large relative transverse momenta off the nucleon(nucleus) Coulomb field. Numerical ... More

A Simple 'Range Extender' for Basis Set Extrapolation Methods for MP2 and Coupled Cluster Correlation EnergiesApr 24 2018We discuss the interrelations between various basis set extrapolation formulas and show that for the nZaPa and aug-cc-pVnZ basis set formulas, for n=4--6 their behavior closely resembles the Petersson (L+a)^{-3} formula with a shift a specific to the ... More

Double forms, curvature structures and the $(p,q)$-curvaturesApr 05 2004We introduce a natural extension of the metric tensor and the Hodge star operator to the algebra of double forms to study some aspects of the structure of this algebra. These properties are then used to study new Riemannian curvature invariants, called ... More

Manifolds with positive second H. Weyl curvature invariantMar 17 2004The second H. Weyl curvature invariant of a Riemannian manifold, denoted $h_4$, is the second curvature invariant which appears in the well known tube formula of H. Weyl. It coincides with the Gauss-Bonnet integrand in dimension 4. A crucial property ... More

Do we really need the weight force?Jun 10 2005Jun 27 2005In 1901 the third Conference Generale des Poids et Mesures (CGPM) defined the weight of a body as ``the product of its mass and the acceleration due to gravity". In practical terms the weight force corresponds to the gravitational force. However, this ... More

Advantages of adopting the operational definition of weightMay 27 2005Jun 07 2005With rare exceptions, in high school and college/university physics courses literature and in journals of physics, the weight is defined as a gravitational force or an exclusive consequence of it. These definitions lack logic from the perspective of present ... More

A fully {\it ab initio} potential curve of near-spectroscopic quality for the OH^- anion: importance of connected quadruple excitations and scalar relativistic effectsMar 16 2000A benchmark study has been carried out on the ground-state potential curve of the hydroxyl anion, OH^{-}, including detailed calibration of both the 1-particle and n-particle basis sets. The CCSD(T) basis set limit overestimates $\omega_e$ by about 10 ... More

Ab initio thermochemistry beyond chemical accuracy for first-and second-row compoundsAug 12 1998By judicious use of extrapolations to the 1-particle basis set limit and $n$-particle calibration techniques, total atomization energies of molecules with up to four heavy atoms can be obtained with calibration accuracy (1 kJ/mol or better, on average) ... More

Radio perspectives on the Monoceros SNR G205.5+0.5Jul 20 2012The Monoceros Loop (SNR G205.5+0.5) is a large shell-type supernova remnant located in the Rosette Complex region. It was suggested to be interacting with the Rosette Nebula. We aim to re-examine the radio spectral index and its spatial variation over ... More

On cyclic branched coverings of prime knotsFeb 26 2007We prove that a prime knot K is not determined by its p-fold cyclic branched cover for at most two odd primes p. Moreover, we show that for a given odd prime p, the p-fold cyclic branched cover of a prime knot K is the p-fold cyclic branched cover of ... More

Pointed Hopf algebras as cocycle deformationsOct 24 2010We show that all finite dimensional pointed Hopf algebras with the same diagram in the classification scheme of Andruskiewitsch and Schneider are cocycle deformations of each other. This is done by giving first a suitable characterization of such Hopf ... More

Optimization problem for extremals of the trace inequality in domains with holesSep 01 2008We study the Sobolev trace constant for functions defined in a bounded domain $\O$ that vanish in the subset $A.$ We find a formula for the first variation of the Sobolev trace with respect to hole. As a consequence of this formula, we prove that when ... More

An isoperimetric inequality for the fundamental tone of free platesApr 19 2010May 05 2010We establish an isoperimetric inequality for the fundamental tone (first nonzero eigenvalue) of the free plate of a given area, proving the ball is maximal. Given $\tau>0$, the free plate eigenvalues $\omega$ and eigenfunctions $u$ are determined by the ... More

Supersymmetry and Chiral SymmetryDec 14 1999We dispute a recent claim for a nonperturbative nonrenormalisation theorem stating that mass cannot be spontaneously generated in supersymmetric QED. We also extend a long-standing perturbative result, namely that the effective potential is zero to all ... More

A model for bidirectional traffic of cytoskeletal motorsJan 01 2009Apr 08 2009We introduce a stochastic lattice gas model including two particle species and two parallel lanes. One lane with exclusion interaction and directed motion and the other lane without exclusion and unbiased diffusion, mimicking a micotubule filament and ... More

The Effects of Stellar Yields with Rotation on Chemical Evolution ModelsJan 21 2003We summarise the results of recent work investigating the effects of stellar yields which take into account rotation on the predictions of chemical evolution models for early populations of galaxies.

On particle acceleration in turbulent shear boundary layers of relativistic jetsJul 08 2002We discuss processes accelerating cosmic ray electrons at boundaries of relativistic jets. The resulting spectrum is expected to posses two characteristic components: a power-law distribution at lower energies and a harder high energy component preceding ... More

Topological Landau-Ginzburg models on a world-sheet foamApr 23 2004We define topological Landau-Ginzburg models on a world-sheet foam, that is, on a collection of 2-dimensional surfaces whose boundaries are sewn together along the edges of a graph. We use matrix factorizations in order to formulate the boundary conditions ... More

Extra Dimensions and the Muon Anomalous Magnetic MomentFeb 10 1999Sep 01 1999It has been proposed recently that the scale of strong gravity can be very close to the weak scale. Dimensions of sizes anywhere from $\sim $mm to $\sim $TeV$^{-1}$ can be populated by bulk gravitons, vector bosons and fermions. In this paper the one-loop ... More

Dynamics of defects in active nematicsAug 15 2013Defect dynamics in a thin active nematic layer is studied by asymptotic matching of solutions in the defect core and the far field. The analysis is facilitated by the correspondence between the 2D nematic and complex scalar field models. Self-propulsion ... More

A Complete Order-alpha**3 Calculation of the Cross Section for Polarized Compton ScatteringNov 24 1997Mar 20 1998The construction of a computer code to calculate the cross sections for the spin-polarized processes e-gamma=>e-gamma,e-gamma-gamma,e-e+e- to order-alpha**3 is described. The code calculates cross sections for circularly-polarized initial-state photons ... More

A classification of natural and social distributions Part one: the descriptionsJul 13 2015This paper presents an extensive survey of regular distributions in natural and social sciences. The survey includes studies from a wide scope of academic disciplines, in order to create an inventory of the different mathematical functions used to describe ... More

Star Formation History across the Magellanic Clouds and other Local Group galaxiesNov 13 2006The Ks magnitude distribution of asymptotic giant branch stars provides important constraints on the spatial variation of metallicity and mean-age of the stellar population of galaxies. Here, I present results of the investigation of these parameters ... More

Unstable Systems in Relativistic Quantum Field TheorySep 16 1997We show how the state of an unstable particle can be defined in terms of stable asymptotic states. This general definition is used to discuss and to solve some old problems connected with the short-time and large-time behaviour of the non-decay amplitude. ... More

A model Hamiltonian for MgB2 which takes into account its unusual phononic featuresJul 10 2003Jul 11 2003Taking as a starting point the results of LDA calculations, which show that in MgB2 the phonons have a strong quartic anharmonicity and that the bond-stretching electron-phonon interaction (EPI) has both a linear and a large quadratic component, we propose ... More

A Generalized Apery SeriesApr 04 2012The inverse central binomial series {equation}S_k(z)=\sum_{n=1}^{\infty}\frac{n^k z^n}{\binom{2n}{n}}{equation} popularized by Ap\'ery and Lehmer is evaluated for positive integers $k$ along with the asymptotic behavior for large $k$. It is found that ... More

The Wisconsin H-Alpha Mapper Northern Sky SurveyOct 04 2000The Wisconsin H-Alpha Mapper (WHAM) has completed a survey in Balmer Alpha of the entire Northern sky above declination -30 deg. This survey provides the first calibrated, velocity-resolved map of the H-Alpha emission from the Galaxy. With one-degree ... More

Quantized Interest Rate at the Money for American OptionsFeb 26 2009Mar 23 2009In this work, we expand the idea of Samuelson[3] and Shepp[2,5,6] for stock optimization using the Bachelier model [4] as our models for the stock price at the money (X[stock price]= K[strike price]) for the American call and put options [1]. At the money ... More

Magnetic moment operator of non-Dirac particles and some elements of polarization $ep$-experimentsNov 27 2012Apr 11 2013An explicit form of the magnetic moment tensor operator for non-Dirac particles with rest spin 1/2 and its essential difference from the spin operator are established. Possible consequences of the last fact for the description of the spin rotation in ... More

Mass Spectra in the Doubly Symmetric Theory of Infinite-Component FieldsDec 13 2003Mar 15 2005We consider the problem of the characteristics of mass spectra in the doubly symmetric theory of fields transforming under the proper Lorentz group representations decomposable into an infinite direct sum of finite-dimensional irreducible representations. ... More

Electromagnetic properties of non-Dirac particles with rest spin 1/2Nov 20 2010We resolve a number of questions related to an analytic description of electromagnetic form factors of non-Dirac particles with the rest spin 1/2. We find the general structure of a matrix antisymmetric tensor operator. We obtain two recurrence relations ... More

Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2Jan 23 2009We consider one aspect of the theoretical foundations of polarization experiments on elastic scattering of electrons on protons yielding form factor ratios incompatible with those that are extracted from nonpolarization experiments. We analyze the consequences ... More

Double Symmetry and Infinite-Component Field TheoryDec 23 2003Qualitative characteristics and the rigorous definition of a concept of the double symmetry is given. We use some double symmetry for constructing a theory of fields not investigated before which transform as the proper Lorentz group representations decomposable ... More

Double Symmetries in Field TheoriesMar 14 2000In the paper a concept of a double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways to construct the double-symmetric field theories and present an example demonstrating the high efficiency ... More

Equivalence Theorem for Lagrangians in Different DimensionsMay 17 2000A proof is given for the observation that the equations of motion for the companion Lagrangian without a square root, subject to some constraints, just reduce to the equations of motion for the companion Lagrangian with a square root in one less dimension. ... More

CP- and T-Violation in the Decay K_L -> pi+ pi- e+ e- and Related ProcessesAug 12 1999I review the theoretical basis of the prediction that the decay K_L -> pi+ pi- e+ e- should show a large CP- and T-violation, a prediction now confirmed by the KTeV experiment. The genesis of the effect lies in a large violation of CP- and T-invariance ... More

Fokker-Planck Asymptotics for Traffic Flow ModelsSep 14 2010Starting from microscopic interaction rules we derive kinetic models of Fokker--Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived ... More

Flat coordinates and dilaton fields for three--dimensional conformal sigma modelsDec 07 2005Riemannian coordinates for flat metrics corresponding to three--dimensional conformal Poisson--Lie T--dualizable sigma models are found by solving partial differential equations that follow from the transformations of the connection components. They are ... More