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High time resolution observations of solar H-alpha flares - II. Search for signatures of electron beam heatingOct 21 2011Aims. The H-alpha emission of solar flare kernels and associated hard X-ray (HXR) emission often show similar time variations but their light curves are shifted in time by energy transfer mechanisms. We searched for fast radiative response of the chromosphere ... More

Pencils of lines in generalized Laguerre spacesMar 30 2012In the paper we characterize subspaces and pencils of lines of generalized (and multidimensional) Laguerre spaces and we consider definability of the structure of "conic" pencils in the Grassmann space of 1-subspaces. We also study definability of the ... More

The SECIS instrument on the Lomnicky Peak ObservatoryApr 20 2010Heating mechanisms of the solar corona will be investigated at the high-altitude solar observatory Lomnicky Peak of the Astronomical Institute of SAS (Slovakia) using its mid-size Lyot coronagraph and post-focal instrument SECIS provided by Astronomical ... More

Bouncing ball dynamics: simple model of motion of the table and sinusoidal motionFeb 02 2013Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincar\'e map, describing evolution from an impact to the next impact, is described. Displacement of the table ... More

Simple model of bouncing ball dynamics. Displacement of the limiter assumed as a cubic function of timeMar 19 2012Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincare map, describing evolution from an impact to the next impact, is described. Displacement of the limiter ... More

Simple models of bouncing ball dynamics and their comparisonJun 07 2010Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Several simple models of table motion are studied and compared. Dependence of displacement of the table on time, approximating sinusoidal ... More

Chaotic dynamics in a simple bouncing ball modelFeb 11 2010We study dynamics of a ball moving in gravitational field and colliding with a moving table. The motion of the limiter is assumed as periodic with piecewise constant velocity - it is assumed that the table moves up with a constant velocity and then moves ... More

Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of timeOct 14 2010Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical modes, such as fixed points, 2 - cycles and chaotic bands ... More

Grazing dynamics and dependence on initial conditions in certain systems with impactsJun 02 2007Dec 26 2012Dynamics near the grazing manifold and basins of attraction for a motion of a material point in a gravitational field, colliding with a moving motion-limiting stop, are investigated. The Poincare map, describing evolution from an impact to the next impact, ... More

A Search for High-Frequency Coronal Brightness Variations in the 21 August 2017 Total Solar EclipseMar 14 2019We report on a search for short-period intensity variations in the green-line FeXIV 530.3 nm emission from the solar corona during the 21 August 2017 total eclipse viewed from Idaho in the United States. Our experiment was performed with a much more sensitive ... More

TrustMAS: Trusted Communication Platform for Multi-Agent SystemsAug 29 2008The paper presents TrustMAS - Trusted Communication Platform for Multi-Agent Systems, which provides trust and anonymity for mobile agents. The platform includes anonymous technique based on random-walk algorithm for providing general purpose anonymous ... More

On the Topology induced by Probabilistic Modular spacesMay 14 2013In this note, we investigate some topological properties of probabilistic modular spaces.

A Compton Thick AGN Powering the Hyperluminous Infrared Galaxy IRAS 00182--7112Aug 01 2007We present X-ray observations of the Hyperluminous Infrared Galaxy (HLIRG) IRAS 00182--7112 (F00183--7111) obtained using the XMM-Newton EPIC camera. A luminous hard X-ray source co-incident with the nucleus is revealed, along with weaker soft X-ray emission ... More

Triplet Pairing Superconductivity Induced by Short-Range Ferromagnetic Correlations in Sr$_2$RuO$_4$Aug 05 2005The microscopic origin of triplet superconductivity in Sr$_2$RuO$_4$ is discussed, paying attention to the role of Coulomb interaction, $U_{pp}$, at the O site. It is shown on the $d$-$p$ model that $U_{pp}$ induces a ferromagnetic exchange interaction ... More

Aspects of the inverse problem for the Toda chainJul 15 2013May 01 2015We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent monodromy matrix identities ... More

Fine structure of the asymptotic expansion of cyclic integralsJan 20 2010The asymptotic expansion of $n$-dimensional cyclic integrals was expressed as a series of functionals acting on the symmetric function involved in the cyclic integral. In this article, we give an explicit formula for the action of these functionals on ... More

Asymptotic analysis and quantum integrable modelsAug 25 2015This habilitation thesis reviews the progress made by the author respectively to studying various asymptotic regimes of correlation functions in quantum integrable models.

Single vortex in a 2D optical latticesMar 03 2004Sep 22 2004The paper has been withdrawn due to technical reason.

The high-field magnetic white dwarf LP 790-29: not a fast rotatorDec 04 2001We have investigated the nature of the magnetic white dwarf LP 790-29 = LHS 2293 by polarimetric monitoring, searching for short-term variability. No periodicity was found and we can exclude rotation periods between 4 sec and 1.5 hour with a high confidence. ... More

Study of the Radiation Hardness of Vcsel and Pin ArraysJan 06 2009The silicon trackers of the ATLAS experiment at LHC (CERN) use optical links for data transmission. VCSEL arrays operating at 850 nm are used to transmit optical signals while PIN arrays are used to convert the optical signals into electrical signals. ... More

New Results on Tau LeptonNov 22 2003This is a review of new results on the Tau lepton. The lifetime has been measured with improved precision, allowing the test of lepton universality to 0.2% level. There are several new measurements of the branching ratios for the hadronic decays, including ... More

Scalar and vector form factors of the in-medium nucleonJul 12 2003Nov 07 2003Using the quark-meson coupling model, we calculate the form factors at sigma- and omega-nucleon strong-interaction vertices in nuclear matter. The Peierls-Yoccoz projection technique is used to take account of center of mass and recoil corrections. We ... More

Bounds for extreme zeros of some classical orthogonal polynomialsNov 04 2011We derive upper bounds for the smallest zero and lower bounds for the largest zero of Laguerre, Jacobi and Gegenbauer polynomials. Our approach uses mixed three term recurrence relations satisfied by polynomials corresponding to different parameter(s) ... More

Zeros of linear combinations of Laguerre polynomials from different sequencesDec 03 2008We study interlacing properties of the zeros of two types of linear combinations of Laguerre polynomials with different parameters, namely $R_n=L_n^{\alpha}+aL_{n}^{\alpha'}$ and $S_n=L_n^{\alpha}+bL_{n-1}^{\alpha'}$. Proofs and numerical counterexamples ... More

Stable exponential cosmological solutions with three factor spaces in $(1+ 3 + 3 +k)$-dimensional Einstein-Gauss-Bonnet model with a $Λ$-termMay 16 2019We consider a $(7 + k)$-dimensional Einstein-Gauss-Bonnet model with the cosmological $\Lambda$-term. A cosmological model with three factor spaces of dimensions $3$, $3$ and $k$, $k > 2$ is considered. Exact stable solutions with three (non-coinciding) ... More

Convergence of ray sequences of Pade approximants to 2F1(a,1;c;z), c>a>0Jan 05 2009The Pad\'e table of $\phantom{}_2F_1(a,1;c;z)$ is normal for $c>a>0$ (cf. \cite{3}). For $m \geq n-1$ and $c \notin {\zz}^{\phantom{}^-}$, the denominator polynomial $Q_{mn}(z)$ in the $[m/n]$ Pad\'e approximant $P_{mn}(z)/Q_{mn}(z)$ for $\phantom{}_2F_1(a,1;c;z)$ ... More

New CLEO II Results on Charm Hadron DecaysFeb 04 2002We present new results on charm hadron decays from the CLEO II experiment. The D*+ width is measured for the first time, Gamma(D*+) = 96 +- 4 +- 22 keV. The semileptonic decay branching fractions are determined to be B(D+ --> Kbar*0 e+ nu_e) = (6.7 +- ... More

Tau2000 Conference SummaryMar 10 2001This is a review of some of the highlights of the 6th workshop on the physics of the tau lepton and its neutrino. This includes the test of lepton universality, measurement of Lorentz Structure, study of hadronic decays, direct evidence of tau neutrino, ... More

Image charge effects in single-molecule junctions: Breaking of symmetries and negative differential resistance in a benzene transistorApr 13 2011Aug 11 2011Both experiments and theoretical studies have demonstrated that the interaction between the current carrying electrons and the induced polarization charge in single-molecule junctions leads to a strong renormalization of molecular charging energies. However, ... More

Detecting activity cycles of late-type dwarfs in Kepler dataAug 12 2013Using data of fast-rotating active dwarf stars in the Kepler database, we perform time-frequency analysis of the light curves in order to search for signs of activity cycles. We use the phenomenon that the active region latitudes vary with the cycle (like ... More

Unitarity of the SoV transform for the Toda chainJun 20 2013May 04 2015The quantum separation of variables method consists in mapping the original Hilbert space where a spectral problem is formulated onto one where the spectral problem takes a simpler "separated" form. In order to realise such a program, one should construct ... More

Truncated Wiener-Hopf operators with Fisher Hartwig singularitiesMay 26 2008Jan 20 2010We derive the asymptotic behavior of determinants of truncated Wiener-Hopf operators generated by symbols having Fisher-Hartwig singularities. This task is achieved thanks to an asymptotic resolution of the Riemann-Hilbert problem associated to some generalized ... More

Near-threshold $ω$ and $φ$ meson productions in $pp$ collisionsApr 05 2003Jul 01 2003Using a relativistic effective Lagrangian at the hadronic level, near-threshold $\omega$ and $\phi$ meson productions in proton proton ($pp$) collisions, $p p \to p p \omega/\phi$, are studied within the distorted wave Born approximation. Both initial ... More

Near-threshold $ω$-meson production in proton-proton collisions: With or without resonance excitations ?Nov 21 2002Dec 12 2002We present results for the $p p \to p p \omega$ reaction studied by considering two different scenarios: with and without the inclusion of nucleon resonance excitations. The recently measured angular distribution by the COSY-TOF Collaboration at an excess ... More

Jets and Black Holes in Hypernova ExplosionsMay 12 2003Bipolar explosion models for hypernovae (very energetic supernovae), associated with the black hole formation, are presented. The model features are as follows: (1) Fe-peak elements are ejected at high velocities to reach the surface region, while dense ... More

A new method of measuring the half-life of ^{10}CNov 27 2009A new measurement of the half-life of the positron emitter 10C has been made. The 10C decay belongs to the set of superallowed 0+ -> 0+ beta-decays whose Ft values offer stringent tests of the Conserved Vector Current (CVC) hypothesis and which can be ... More

Nowhere differentiable functions with respect to the positionJan 17 2017Let $\Omega$ be a bounded domain in $\mathbb{C}$ such that $\partial \Omega$ does not contain isolated points. Let $R(\Omega)$ be the space of uniform limits on $\overline{\Omega}$ of rational functions with poles off $\overline{\Omega}$, endowed with ... More

Time-dependent Hartree-Fock plus Langevin approach for hot fusion reactions to synthesize the superheavy element with $Z=120$Mar 15 2019We develop a novel approach to fusion reactions for syntheses of superheavy elements, which combines the time-dependent Hartree-Fock (TDHF) method with a dynamical diffusion model based on the Langevin equation. In this approach, the distance of the closest ... More

Implications of detecting the Axion-Like Particles in Astro-Particle PhysicsMay 13 2019Axions and axion like particles in general are consequences of the extensions of the standard model in particle physics. Axions have been proposed as hypothetical pseudo-scalar particles in particle physics to solve the strong Charge-Parity problem using ... More

Game of collusionsDec 12 2015A new model of collusions in an organization is proposed. Each actor $a_{i=1,\cdots,N}$ disposes one unique good $g_{j=1,\cdots,N}$. Each actor $a_i$ has also a list of other goods which he/she needs, in order from desired most to those desired less. ... More

Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holesNov 18 1997Jan 10 1998We derive the Bekenstein-Hawking entropy formula for four and five dimensional non-supersymmetric black holes (which include the Schwarzchild ones) by counting microscopic states. This is achieved by first showing that these black holes are U-dual to ... More

Angular momentum and mass evolution of contact binariesMar 03 2008Sep 25 2008Various scenarios of contact binary evolution have been proposed in the past, giving hints of (sometimes contradictory) evolutionary sequence connecting A-type and W-type systems. As the components of close detached binaries approach each other and contact ... More

Spectroscopy of diffuse light in dust clouds. Scattered light and the solar neighbourhood radiation fieldNov 30 2012The optical surface brightness of dark nebulae is mainly due to scattering of integrated starlight by classical dust grains. It contains information on the impinging interstellar radiation field, cloud structure, and grain scattering properties. We have ... More

On lacunary Toeplitz determinantsOct 09 2013By using Riemann--Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants $\det_N\big[ c_{\ell_a-m_b}[f] \big]$ generated by holomorhpic symbols, where $\ell_a=a$ (resp. $m_b=b$) except for a finite subset ... More

Riemann--Hilbert approach to the time-dependent generalized sine kernelNov 25 2010Apr 29 2015We derive the leading asymptotic behavior and build a new series representation for the Fredholm determinant of integrable integral operators appearing in the representation of the time and distance dependent correlation functions of integrable models ... More

Low-$T$ asymptotic expansion of the solution to the Yang-Yang equationDec 28 2011Apr 30 2015We prove that the unique solution to the Yang-Yang equation arising in the context of the thermodynamics of the so-called non-linear Schr\"{o}dinger model admits a low-temperature expansion to all orders. Our approach provides a rigorous justification, ... More

Determination of the $Θ^+$ parity from $γn \to K^- K^+ n$Nov 09 2003Dec 26 2003It is demonstrated that measurements of photon asymmetry in the $\gamma n \to K^- K^+ n$ reaction, can most likely determine the parity of the newly discovered $\Theta^+$ pentaquark. We predict that if the parity of $\Theta^+$ is positive, the photon ... More

Electronic Structures of MgB{$_2$} under Uniaxial and Hydrostatic CompressionMay 11 2001Electronic and lattice properties of MgB{$_2$} under uniaxial and hydrostatic compression are calculated. Lattice properties are optimized automatically by using the first-principles molecular dynamics (FPMD) method. Features of the electronic band structures ... More

On the correlation between the X-ray and gamma-ray emission in TeV blazarsDec 09 2009The observations of TeV blazars published recently show an unexpected quadratic or even cubic correlation between the X-ray and gamma-ray emission. A standard model of the synchrotron self-Compton emission of a compact source inside a jet is not able ... More

Slave boson model for two-dimensional trapped Bose-Einstein condensateApr 11 2005A system of N bosons in a two-dimensional harmonic trap is considered. The system is treated in term of the slave boson representation for hard-core bosons which is valid in the arbitrary density regimes. I discuss the consequences of higher order interactions ... More

Yukawa bosons in two-dimensional Harmonic confinementMar 24 2005Sep 06 2007The ground state property of Yukawa Bose fluid confined in a radial harmonic trap is studied. The calculation was carried out using the density functional theory formalism within the Kohn-Sham scheme. The excess-correlation energy for this inhomogeneous ... More

Radiation-Hard Opto-Link for the Atlas Pixel DetectorOct 20 2004Oct 21 2004The on-detector optical link of the ATLAS pixel detector contains radiation-hard receiver chips to decode bi-phase marked signals received on PIN arrays and data transmitter chips to drive VCSEL arrays. The components are mounted on hybrid boards (opto-boards). ... More

Review of Rare and Forbidden $τ$ DecaysJul 02 1997This is a review of rare and forbidden decays of the $\tau$ lepton. For the rare decays, this includes new results on the chiral anomaly decay $\taupietapio$, new upper limits on the second-class-current decay $\taupieta$, and the observations of the ... More

Radiation-hard ASICs for optical data transmission in the ATLAS pixel detectorSep 11 2004We have developed two radiation-hard ASICs for optical data transmission in the ATLAS pixel detector at the LHC at CERN: a driver chip for a Vertical Cavity Surface Emitting Laser (VCSEL) diode for 80 Mbit/s data transmission from the detector, and a ... More

Born-Infeld strings between D-branesAug 24 1999We examine the solutions of world-volume action for a D3-brane being put near other D3-brane which is replaced by the background configuration of bulk space. It is shown that the BPS solutions are not affected by the D3-brane background, and they are ... More

Collimation of the e^+e^- annihilation eventMay 06 1997The collimation $C$ of a hadronic event in the e^+e^- annihilation is defined as the average of $\cos\theta$, $C=<\cos\theta>$, where $\theta$ is the angle of each hadron measured from the thrust axis, and the average is over all the hadrons produced ... More

Dynamical fermions in lattice quantum chromodynamicsDec 31 2007The thesis will present results in Quantum Chromo Dynamics (QCD) with dynamical lattice fermions. The topological susceptibilty in QCD is determined, the calculations are carried out with dynamical overlap fermions. The most important properties of the ... More

Effects of neutrino oscillation on supernova neutrino: inverted mass hierarchyMay 08 2002May 06 2003We study the effects of neutrino oscillation on supernova neutrino in the case of the inverted mass hierarchy ($m_{3} \ll m_{1} < m_{2}$) as well as the normal mass hierarchy ($m_{1} < m_{2} \ll m_{3}$). Numerical analysis using a realistic supernova ... More

Earth effects on supernova neutrinos and their implications for neutrino parametersOct 08 2001Mar 23 2002We perform a detailed study of the Earth matter effects on supernova neutrinos with neutrino oscillation parameter LMA and small $\theta_{13}$. The Earth effects show significant dependences on the neutrino path length inside the Earth and the value of ... More

Paradox of integration -- Dynamics of two-dimensional statusMar 11 2019According to Peter M. Blau [Exchange and Power in Social Life, Wiley and Sons, p. 43], the process of integration of a newly formed group has a paradoxical aspect: most attractive individuals are rejected because they raise fear of rejection. Often, their ... More

On Form Factors of the conjugated field in the non-linear Schröodinger modelMay 05 2011Izergin-Korepin's lattice discretization of the non-linear Schr\"odinger model along with Oota's inverse problem provides one with determinant representations for the form factors of the lattice discretized conjugated field operator. We prove that these ... More

High Kondo temperature (TK ~ 80 K) in self-assembled InAs quantum dots laterally coupled to nanogap electrodesAug 19 2008We have fabricated single electron tunneling structures by forming nanogap metallic electrodes directly upon single self-assembled InAs quantum dots (QDs). The fabricated samples exhibited clear Coulomb blockade effects. Furthermore, a clear Kondo effect ... More

Probing internucleus potential with large-angle quasi-elastic scatteringMay 08 2006Recent measurements for fusion cross section at energies around the Coulomb barrier have systematically indicated a significant deviation of fusion cross sections from a prediction of double-folding model. It has been argued that the deviation can be ... More

Microscopic Theory of Trapped Two-Dimensional Bose GasMar 29 2005This report is based on my incomplete Phd thesis. The final part of the work on the 2D Yukawa bosons/vortices in a confined geometry is not complete and subject to futher development.

New Results on ATLAS Pixel Opto-LinkJan 30 2002We present new results on the optical link for the pixel detector of the ATLAS experiment. An optical package of novel design has been developed for the opto-link. The design is based on a simple connector-type concept and is made of radiation-hard material. ... More

A Novel Optical Package for ATLAS Pixel DetectorMar 10 2001An optical package of novel design has been developed for the ATLAS pixel detector. The package contains two VCSELs and one PIN diode to transmit and receive optical signals. The design is based on a simple connector-type concept and is made of radiation-hard ... More

Radiation-Hard Optical Link for SLHCDec 29 2008We study the feasibility of fabricating an optical link for the SLHC ATLAS silicon tracker based on the current pixel optical link architecture. The electrical signals between the current pixel modules and the optical modules are transmitted via micro-twisted ... More

An MT-Style Optical Package for Optical Data TransmissionMar 03 2003An optical package for mounting VCSEL and PIN diodes for transmitting and receiving optical signals has been developed. The diodes couple to the fibers in a commercial MT connector. The package is quite compact with its physical size significantly smaller ... More

Thermodynamic Phase Diagram of the Quantum Hall Skyrmion SystemAug 22 1999We numerically study the interacting quantum Hall skyrmion system based on the Chern-Simons action. By noticing that the action is invariant under global spin rotations in the spin space with respect to the magnetic field direction, we obtain the low-energy ... More

Approximate symmetries of geodesic equations on 2-spheresMay 09 2010Approximate symmetries of geodesic equations on 2-spheres are studied. These are the symmetries of the perturbed geodesic equations which represent approximate path of a particle rather than exact path. After giving the exact symmetries of the geodesic ... More

A Probabilistic Proof of the Multinomial TheoremAug 04 2016In this note, we give an alternate proof of the multinomial theorem using a probabilistic approach. Although the multinomial theorem is basically a combinatorial result, our proof may be simpler for a student familiar with only basic probability concepts. ... More

Radiation-Hard Asics for Optical Data Transmission in the Atlas Pixel DetectorAug 10 2004We have developed two radiation-hard ASICs for optical data transmission in the ATLAS pixel detector at the LHC at CERN: a driver chip for a Vertical Cavity Surface Emitting Laser (VCSEL) diode for 80 Mbit/s data transmission from the detector, and a ... More

Radiation-hard ASICs for optical data transmission in the ATLAS pixel detectorMar 13 2003We have developed two radiation-hard ASICs for optical data transmission in the ATLAS pixel detector at the LHC at CERN: a driver chip for a Vertical Cavity Surface Emitting Laser (VCSEL) diode for 80 Mbit/s data transmission from the detector, and a ... More

Incorporation of the statistical uncertainty in the background estimate into the upper limit on the signalJul 25 1997We present a procedure for calculating an upper limit on the number of signal events which incorporates the Poisson uncertainty in the background, estimated from control regions of one or two dimensions. For small number of signal events, the upper limit ... More

Optical Link of the Atlas Pixel DetectorDec 06 2007The on-detector optical link of the ATLAS pixel detector contains radiation-hard receiver chips to decode bi-phase marked signals received on PIN arrays and data transmitter chips to drive VCSEL arrays. The components are mounted on hybrid boards (opto-boards). ... More

Search for Neutrinoless Tau Decays Involving the K0 MesonNov 11 2002We have searched for lepton flavor violating decays of the tau lepton with one or two KS0 mesons in the final state. The data used in the search were collected with the CLEO II and II.V detectors at the Cornell Electron Storage Ring (CESR) and correspond ... More

High-resolution spectroscopy of the intermediate polar EX Hydrae. I. Kinematic study and Roche tomographyFeb 18 2008EX Hya is one of the few double-lined eclipsing cataclysmic variables that allow an accurate measurement of the binary masses. We analyze orbital phase-resolved UVES/ VLT high resolution spectroscopic observations of EX Hya with the aims of deriving the ... More

Near-IR Properties of Quasar Host GalaxiesJan 23 1997We have obtained deep, near-IR images of nearly 100 host galaxies of nearby quasars and Seyferts. We find the near-IR light to be a good tracer of luminous mass in these galaxies. For the most luminous quasars there is a correlation between the maximum ... More

Evolution of Low Mass Contact BinariesJul 17 2012We present a study on low-mass contact binaries (LMCB) with orbital periods shorter than 0.3 days and total mass lower than about 1.4 solar mass. We show that such systems have a long pre-contact phase, which lasts for 8-9 Gyrs, while the contact phase ... More

Deformation of Fermi Surface Due to Antiferromagnetic CorrelationDec 16 1999It is investigated, on the basis of the fluctuation exchange approximation, how the shape of the Fermi surface is modified in two-dimensional $t-t'-U$ Hubbard model at half filling as strength of the onsite Coulomb interaction $U$ is increased. The antiferromagnetic ... More

On condensation properties of Bethe roots associated with the XXZ chainAug 24 2015I prove that the Bethe roots describing either the ground state or a certain class of "particle-hole" excited states of the XXZ spin-$1/2$ chain in any sector with magnetisation $\mathfrak{m} \in [0;1/2]$ exist and form, in the infinite volume limit, ... More

Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger modelJan 08 2011May 05 2011Starting from the form factor expansion in finite volume, we derive the multidimensional generalization of the so-called Natte series for the zero-temperature, time and distance dependent reduced density matrix in the non-linear Schr\"{o}dinger model. ... More

On the emptiness formation probability of the open XXZ spin-$\tf{1}{2}$ chainAug 02 2007This paper is devoted to the study of the emptiness formation probability $\tau\pa{m}$ of the open XXZ chain. We derive a closed form for $\tau\pa{m}$ at $\Delta=\tf{1}{2}$ when the boundary field vanishes. Moreover we obtain its leading asymptotics for ... More

Multiplicity with a Thrust CutDec 28 1993We evaluate the multiplicity of hadrons in the $e^+e^-$-annihilation at a given thrust $T$ in the modified leading-log approximation, including $O(\sqrt{\alpha_s})$ corrections. The calculation is done at a large value of $\tau =1-T$ by the use of the ... More

Bipolar Supernova Explosions: Nucleosynthesis & Implication on Abundances in Extremely Metal-Poor StarsApr 09 2003Aug 08 2003Hydrodynamics and explosive nucleosynthesis in bipolar supernova explosions are examined to account for some peculiar properties of hypernovae as well as peculiar abundance patterns of metal-poor stars. The explosion is supposed to be driven by bipolar ... More

Theory of Ultrasonic Dispersion in Local Phonon Systems Coupled with Conduction ElectronsJul 25 2007The physical origin of frequency dependence in elastic constants, which are often found in an ultrasound propagation in filled skutterudites and clathrate compounds, is investigated theoretically. This dependence arises from a coupling between the acoustic ... More

Semiclassical expansion of the Slater sum for position dependent mass distributions in d dimensionsOct 04 2012Apr 26 2013We consider hamiltonian systems with spatially varying effective mass and slowly varying local potential in d dimensions. The Slater sum is defined as the diagonal element of the Bloch propagator. We derive a gradient expansion of the Slater sum up to ... More

Zeros of the hypergeometric polynomial F(-n,b;c;z)Dec 03 2008Our interest lies in describing the zero behaviour of Gauss hypergeometric polynomials $F(-n,b; c; z)$ where $b$ and $c$ are arbitrary parameters. In general, this problem has not been solved and even when $b$ and $c$ are both real, the only cases that ... More

Electron-Electron Interaction in Linear Arrays of Small Tunnel JunctionsOct 03 1995We have calculated the spatial distribution of the electrostatic potential created by an unbalanced charge $q$ in one of the conducting electrodes of a long, uniform, linear array of small tunnel junctions. The distribution describes, in particular, the ... More

Solution Independent Analysis of Black Hole Entropy in Brick Wall ModelMay 26 2005Jun 06 2007Using the brick wall regularization of 't Hooft, the entropy of non-extreme and extreme black holes is investigated in a general static, spherically symmetric spacetime. We classify the singularity in the entropy by introducing a {\it new} index $\delta ... More

Ultracold bosons in a synthetic periodic magnetic field: Mott phases and re-entrant superfluid-insulator transitionsMay 25 2010We study Mott phases and superfluid-insulator (SI) transitions of ultracold bosonic atoms in a two-dimensional square optical lattice at commensurate filling and in the presence of a synthetic periodic vector potential characterized by a strength $p$ ... More

Lexicographic Multi-objective Geometric Programming ProblemsDec 09 2009A Geometric programming (GP) is a type of mathematical problem characterized by objective and constraint functions that have a special form. Many methods have been developed to solve large scale engineering design GP problems. In this paper GP technique ... More

Oscillation frequency of B and B mesons in a QCD potential model with relativistic effectAug 26 2011Aug 30 2011Wavefunction at the origin with the incorporation of relativistic effect leads to singularity in a specific potential model. To regularise the wavefunction, we introduce a short distance scale here and use it to estimate masses and decay constants of ... More

Multi-objective Geometric Programming Problem With Weighted Mean MethodMar 07 2010Geometric programming is an important class of optimization problems that enable practitioners to model a large variety of real-world applications, mostly in the field of engineering design. In many real life optimization problem multi-objective programming ... More

On a certain class of $\K$ Banach spacesApr 24 2013Using a strengthening of the concept of $\K$ set, introduced in this paper, we study a certain subclass of the class of $\K$ Banach spaces; the so called strongly $\K$ Banach spaces. This class of spaces includes subspaces of strongly weakly compactly ... More

Shot Noise of Single-Electron Tunneling in 1D ArraysJan 21 1998We have used numerical modeling and a semi-analytical calculation method to find the low frequency value S_{I}(0) of the spectral density of fluctuations of current through 1D arrays of small tunnel junctions, using the ``orthodox theory'' of single-electron ... More

Bipartition of graphs based on the normalized cut and spectral methodsOct 26 2012Nov 04 2012In the first part of this paper, we survey results that are associated with three types of Laplacian matrices:difference, normalized, and signless. We derive eigenvalue and eigenvector formulaes for paths and cycles using circulant matrices and present ... 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

Posynomial Geometric Programming Problems with Multiple ParametersJan 20 2010Geometric programming problem is a powerful tool for solving some special type non-linear programming problems. It has a wide range of applications in optimization and engineering for solving some complex optimization problems. Many applications of geometric ... More

Testing gravity at the Second post-Newtonian level through gravitational deflection of massive particlesOct 18 2006Dec 27 2006Expression for second post-Newtonian level gravitational deflection angle of massive particles is obtained in a model independent framework. Several of its important implications including the possibility of testing gravitational theories at that level ... More