total 177175took 0.14s

The comparative effect of an addition of a surface term to the Woods-Saxon potential on the thermodynamics of a nucleonNov 09 2016In this study, we reveal the difference between Woods-Saxon (WS) and Generalized Symmetric Woods-Saxon (GSWS) potentials in order to describe the physical properties of a nucleon, by means of solving Schr\"odinger equation for the two potentials. The ... More

Thermodynamic Properties of a Nucleon under the Generalized Symmetric Woods-Saxon Potential in Flourine 17 IsotopeApr 27 2016Dec 01 2016The exact analytical solution of the Schr\"odinger equation for a generalized symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus for bound and quasi-bound states in one dimension. The wave functions imply that the nucleon ... More

Properties of an $α$ particle in a Bohrium $270$ Nucleus under the Generalized Symmetric Woods-Saxon PotentialAug 10 2016Apr 26 2017The energy eigenvalues and the wave functions of an $\alpha$ particle in a Bohrium $270$ nucleus were calculated by solving Schr\"odinger equation for Generalized Symmetric Woods-Saxon potential. Using the energy spectrum by excluding and including the ... More

A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface EffectOct 31 2018Generalized symmetric Woods-Saxon potential (GSWSP) energy well has a significant importance not only in nuclear physics but also in atomic and molecular physics. A GSWSP energy well takes the surface effects (describing e.g. repulsive interaction at ... More

Properties of an $α$ particle in a Bohrium $270$ Nucleus under the Generalized Symmetric Woods-Saxon PotentialAug 10 2016The energy eigenvalues and the wave functions of an $\alpha$ particle in a Bohrium $270$ nucleus were calculated by solving Schr\"odinger equation for Generalized Symmetric Woods-Saxon potential. Using the energy spectrum by excluding and including the ... More

Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potentialJan 19 2018Recently, it has been shown that the generalized symmetric Woods-Saxon potential energy, in which surface interaction terms are taken into account, describes the physical processes better than the standard form. Therefore in this study, we investigate ... More

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

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

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

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

An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry LimitsMar 04 2018Aug 07 2018Recently, scattering of a Klein-Gordon particle in the presence of mixed scalar-vector generalized symmetric Woods-Saxon potential was investigated for the spin symmetric and the pseudo-spin symmetric limits in one spatial dimension. In this manuscript, ... More

A user's guide to cloning systemsJun 28 2016In joint work of the author with Stefan Witzel, a procedure was developed for building new examples of groups in the extended family of R. Thompson's groups, using what we termed \emph{cloning systems}. These new Thompson-like groups can be thought of ... More

Creation and annihilation operators and coherent states for the PT-symmetric oscillatorOct 23 2001Dec 18 2001We construct two commuting sets of creation and annihilation operators for the PT-symmetric oscillator. We then build coherent states of the latter as eigenstates of such annihilation operators by employing a modified version of the normalization integral ... More

Neural Network Model for Apparent Deterministic Chaos in Spontaneously Bursting Hippocampal SlicesMar 19 2002A neural network model that exhibits stochastic population bursting is studied by simulation. First return maps of inter-burst intervals exhibit recurrent unstable periodic orbit (UPO)-like trajectories similar to those found in experiments on hippocampal ... More

Dilepton production from hot hadronic matter in nonequilibriumSep 03 2005Jan 11 2006The influence of time dependent medium modifications of low mass vector mesons on dilepton yields is investigated within a nonequilibrium quantum field theoretical description on the basis of the Kadanoff-Baym equations. Time scales for the adaption of ... More

Survival Rates and ConsequencesMar 31 2004Apr 12 2004To first order, the initial cluster luminosity function appears to be universal. This means that the brightest young cluster in a galaxy can be predicted from the total number of young clusters based purely on statistics. This suggests that the physical ... More

Abundance Profiles in Disk Galaxies from NebulaeJan 13 1998Galactic and extragalactic abundance studies of H II regions, planetary nebulae, and supernova remnants are compiled and their implications briefly reviewed. Galaxy global metallicity appears to be related directly to total mass and morphology, while ... More

Element Yields of Intermediate-Mass StarsMay 27 2003Intermediate mass stars occupy the mass range between 0.8-8 solar masses. In this review, evolutionary models of these stars from numerous sources are compared in terms of their input physics and predicted yields. In particular, the results of Renzini ... More

Time-Varying Lense-Thirring SystemJun 17 2008We consider bound geodesic orbits of test masses in the exterior gravitational field of a rotating astronomical source whose proper angular momentum varies linearly with time. The linear perturbation approach of Lense and Thirring is herein extended to ... More

Nonlocal Lagrangians for Accelerated SystemsAug 21 2007Nov 15 2007Acceleration-induced nonlocality and the corresponding Lorentz-invariant nonlocal field equations of accelerated systems in Minkowski spacetime are discussed. Under physically reasonable conditions, the nonlocal equation of motion of the field can be ... More

Tidal Dynamics of Relativistic Flows Near Black HolesApr 07 2004Nov 26 2004We point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic relative motion. Specifically, we use the generalized Jacobi equation and its extension to study the force-free dynamics of relativistic flows near a massive ... More

Tidal Dynamics in Kerr SpacetimeFeb 19 2006Apr 20 2006The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an autonomous form. Tidal ... More

Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi CoordinatesSep 04 2004Nov 12 2004Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study the motion of ultrarelativistic particles and light rays in Fermi coordinates and investigate inertial and tidal ... More

Acceleration-Induced Nonlocality: Uniqueness of the KernelFeb 14 2002We consider the problem of uniqueness of the kernel in the nonlocal theory of accelerated observers. In a recent work, we showed that the convolution kernel is ruled out as it can lead to divergences for nonuniform accelerated motion. Here we determine ... More

Consequences of tidal interaction between disks and orbiting protoplanets for the evolution of multi-planet systems with architecture resembling that of Kepler 444May 03 2016We study orbital evolution of multi-planet systems with masses in the terrestrial planet regime induced through tidal interaction with a protoplanetary disk assuming that this is the dominant mechanism for producing orbital migration and circularization. ... More

Traveling wave solutions in the Burridge-Knopoff modelJan 14 1999The slider-block Burridge-Knopoff model with the Coulomb friction law is studied as an excitable medium. It is shown that in the continuum limit the system admits solutions in the form of the self-sustained shock waves traveling with constant speed which ... More

Instabilities and disorder of the domain patterns in the systems with competing interactionsDec 21 1996The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean field theory is derived. It is shown that at certain temperatures ... More

Synchronization, chaos, and breakdown of collective domain oscillations in reaction-diffusion systemsAug 19 1996The universal equations describing collective oscillations of the multidomain patterns of small period in an arbitrary $d$-dimensional reaction-diffusion system of the activator-inhibitor type are asymptotically derived. It is shown that not far from ... More

Unusual Coarsening During Phase Separation in Polymer SystemsSep 10 1998We introduce a kinetic model of coarsening of transient polymer networks during the intermediate stages of phase separation in polymer systems. The model explicitly takes into account the effect of the connectivity of polymer chains. We show that during ... More

Beyond the Standard Model Lectures for the 2016 European School of High-Energy PhysicsSep 07 2016We cover some current topics in Beyond the Standard Model phenomenology, with an emphasis on collider (particularly Large Hadron Collider) phenomenology. We begin with a review of the Standard Model and some unresolved mysteries that it leaves. Then, ... More

Temporal Variability of the X-ray Emission of the Crab Nebula TorusAug 19 1998We have analyzed five ROSAT HRI images of the Crab Nebula spanning the years 1991 to 1997 and have found significant changes in the emission structure of the X-ray torus surrounding the pulsar. Certain regions increase in brightness by about 20% over ... More

Beyond the Standard Model Lectures for the 2016 European School of High-Energy PhysicsSep 07 2016Oct 23 2016We cover some current topics in Beyond the Standard Model phenomenology, with an emphasis on collider (particularly Large Hadron Collider) phenomenology. We begin with a review of the Standard Model and some unresolved mysteries that it leaves. Then, ... More

Estimates for Pion-Photon Transition DistributionsAug 09 2005Aug 12 2005In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple analytical models for ... More

Double distributions: Loose endsMay 21 2004We point out that double distributions need not vanish at their boundary. Boundary terms do not change the ambiguity inherent in defining double distributions; instead, boundary conditions must be satisfied in order to switch between different decompositions. ... More

Chiral Symmetry Restoration from a BoundaryFeb 27 2013Aug 27 2013The boundary of a manifold can alter the phase of a theory in the bulk. We explore the possibility of a boundary-induced phase transition for the chiral symmetry of QCD. In particular, we investigate the consequences of imposing homogeneous Dirichlet ... More

Connected Parts of Decuplet Electromagnetic PropertiesMar 02 2009Apr 10 2009We determine the electromagnetic properties of decuplet resonances using chiral perturbation theory at next-to-leading order. Utilizing a partially quenched charge matrix, we isolate and remove the quark disconnected contractions. This allows us to compare ... More

Time Dependence of Nucleon Correlation Functions in Chiral Perturbation TheoryJan 06 2009May 10 2009We consider corrections to nucleon correlation functions arising from times that are far from the asymptotic limit. For such times, the single nucleon state is contaminated by the pion-nucleon and pion-delta continuum. We use heavy baryon chiral perturbation ... More

Multipole decomposition of the nucleon transverse phase spaceDec 18 2015We present a complete study of the leading-twist quark Wigner distributions in the nucleon, discussing both the $\mathsf T$-even and $\mathsf T$-odd sector, along with all the possible configurations of the quark and nucleon polarizations. We identify ... More

On the Origin of Model Relations among Transverse-Momentum Dependent Parton DistributionsApr 29 2011Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark-model relations among TMDs are reviewed, elucidating their physical origin in terms of the quark-spin structure in the nucleon. ... More

Multipartite Entanglement and Global InformationAug 28 2008We investigate the entanglement properties of pure quantum states describing $n$ qubits. We characterize all multipartite states which can be maximally entangled to local auxiliary systems using controlled operations. A state has this property iff one ... More

On normal subgroups of the braided Thompson groupsMar 31 2014We inspect the normal subgroup structure of the braided Thompson groups Vbr and Fbr. We prove that every proper normal subgroup of Vbr lies in the kernel of the natural quotient Vbr \onto V, and we exhibit some families of interesting such normal subgroups. ... More

The Density of States in High-Tc Superconductors VorticesMay 22 2001Dec 18 2001We calculated the electronic structure of a vortex in a pseudogapped superconductor within a model featuring strong correlations. With increasing strength of the correlations, the BCS core states are suppressed and the spectra in and outside the core ... More

Spin susceptibility of quantum magnets from high to low temperaturesJul 03 2014Oct 23 2014We present a method to compute the magnetic susceptibility of spin systems at all temperatures in one and two dimensions. It relies on an approximation of the entropy versus energy (microcanonical potential function) on the whole range of energies. The ... More

Anomalous acoustic reflection on a sliding interface or a shear bandJan 27 2003We study the reflection of an acoustic plane wave from a steadily sliding planar interface with velocity strengthening friction or a shear band in a confined granular medium. The corresponding acoustic impedance is utterly different from that of the static ... More

Viscous Cosmologies with Extra DimensionsJun 08 2001Jun 10 2001We present an analysis of a n-dimensional vacuum Einstein field equations in which 4-dimensional space-time which is described by a Friedmann Robertson-Walker (FRW) metric and that of the extra dimensions by a Kasner type Euclidean metric. The field equations ... More

Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groupsMay 21 2017We prove that if a right-angled Artin group $A_\Gamma$ is abstractly commensurable to a group splitting non-trivially as an amalgam or HNN-extension over $\mathbb{Z}^n$, then $A_\Gamma$ must itself split non-trivially over $\mathbb{Z}^k$ for some $k\le ... More

Geometric structures related to the braided Thompson groupsMar 07 2018In previous work, joint with Bux, Fluch, Marschler and Witzel, we proved that the braided Thompson groups are of type $\textrm{F}_\infty$. The proof utilized certain cube complexes with a Morse function, whose descending links were modeled by complexes ... More

Improved position measurement of nano electromechanical systems using cross correlationsMay 16 2007Oct 31 2007We consider position measurements using the cross-correlated output of two tunnel junction position detectors. Using a fully quantum treatment, we calculate the equation of motion for the density matrix of the coupled detector-detector-mechanical oscillator ... More

Measuring the Momentum of a Nanomechanical Oscillator through the Use of Two Tunnel JunctionsJul 18 2007Jan 16 2008We propose a way to measure the momentum p of a nanomechanical oscillator. The p-detector is based on two tunnel junctions in a Aharonov-Bohm-type setup. One of the tunneling amplitudes depends on the motion of the oscillator, the other one not. Although ... More

Self-replication and splitting of domain patterns in reaction-diffusion systems with fast inhibitorJun 05 1996Jun 24 1996An asymptotic equation of motion for the pattern interface in the domain-forming reaction-diffusion systems is derived. The free boundary problem is reduced to the universal equation of non-local contour dynamics in two dimensions in the parameter region ... More

Multiple solutions in supersymmetry and the HiggsJan 31 2014Weak-scale supersymmetry is a well motivated, if speculative, theory beyond the Standard Model of particle physics. It solves the thorny issue of the Higgs mass, namely: how can it be stable to quantum corrections, when they are expected to be $10^{15}$ ... More

Global Warming: some back-of-the-envelope calculationsMar 14 2005We do several simple calculations and measurements in an effort to gain understanding of global warming and the carbon cycle. Some conclusions are interesting: (i) There has been global warming since the end of the "little ice age" around 1700. There ... More

Two-Flavor Chiral Perturbation Theory for HyperonsAug 18 2009The three-flavor chiral expansion for octet baryons has well-known problems with convergence. We show that this three-flavor chiral expansion can be reorganized into a two-flavor expansion thereby eliminating large kaon and eta loop contributions. Issues ... More

Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 targetJul 17 2013We analyze the structure of generalized off-diagonal and transverse-momentum dependent quark-quark and gluon-gluon correlators for a spin-1/2 hadron. Using the light-front formalism, we provide a parametrization in terms of the parton generalized transverse-momentum ... More

Pretzelosity TMD and Quark Orbital Angular MomentumNov 25 2011Mar 22 2012We study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for its validity ... More

BMN Correlators by Loop EquationsSep 27 2002In the BMN approach to N=4 SYM a large class of correlators of interest are expressible in terms of expectation values of traces of words in a zero-dimensional Gaussian complex matrix model. We develop a loop-equation based, analytic strategy for evaluating ... More

More on the exact solution of the O(n) model on a random lattice and an investigation of the case |n|>2Dec 08 1995Dec 12 1995For $n\in [-2,2]$ the $O(n)$ model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal matter fields with $c\in [-\infty,1]$ can be associated. Previously we have written down an ... More

Accelerating Reinforcement Learning through Implicit ImitationJun 03 2011Imitation can be viewed as a means of enhancing learning in multiagent environments. It augments an agent's ability to learn useful behaviors by making intelligent use of the knowledge implicit in behaviors demonstrated by cooperative teachers or other ... More

Thermal conductivity of doped $\rm\bf La_2CuO_4$ as an example for heat transport by optical phonons in complex materialsApr 10 2003Apr 23 2004We investigate the phonon thermal conductivity $\kappa_{\mathrm{ph}}$ of doped $\rm La_2CuO_4$ based on out-of-plane thermal conductivity measurements. When room temperature is approached the temperature dependence of $\kappa_{\mathrm{ph}}$ strongly deviates ... More

Like-sign dimuon charge asymmetry in the decay of B B-bar pairsSep 19 2000We discuss the CP-violating dimuon charge asymmetry of events p p-bar ---> B B-bar X ---> mu mu X in the Standard Model. Our conclusion is that the asymmetry is larger than previously expected and may reach a few percent for the (B_d^0, B-bar_d^0) system. ... More

Three generation neutrino mixing is compatible with all experimentsFeb 02 2000We consider the minimal extension of the Standard Model with three generations of massive neutrinos that mix. We then determine the parameters of the model that satisfy all experimental constraints.

Cooperon propagator description of high temperature superconductivityFeb 02 2001A phenomenological description of the high-Tc superconductors based on the Cooperon propagator is presented. This model allows one to study the effects of local pairing correlations and long-range phase fluctuations on the same footing, both above and ... More

A Scenario for the Fine Structures of Solar Type IIIb Radio Bursts Based on the Electron Cyclotron Maser EmissionApr 05 2015Aug 14 2015A scenario based on the electron cyclotron maser emission is proposed for the fine structures of solar radio emission in the present discussion. It is suggested that under certain conditions modulation of the ratio between the plasma frequency and electron ... More

Comment on `Supersymmetry, PT-symmetry and spectral bifurcation'Jul 22 2010Feb 04 2011We demonstrate that the recent paper by Abhinav and Panigrahi entitled `Supersymmetry, PT-symmetry and spectral bifurcation' [Ann.\ Phys.\ 325 (2010) 1198], which considers two different types of superpotentials for the PT-symmetric complexified Scarf ... More

Pseudo-Hermiticity, weak pseudo-Hermiticity and eta-orthogonality conditionJun 10 2002We discuss certain features of pseudo-Hermiticity and weak pseudo-Hermiticity conditions and point out that, contrary to a recent claim, there is no inconsistency if the correct orthogonality condition is used for the class of pseudo-Hermitian, PT-symmetric ... More

Predicting Multivariate VolatilityApr 03 2003We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the number of principal ... More

Dileptons from vector mesons with dropping masses in a nonequilibrium quantum field theoretical frameworkJun 02 2006The influence of time dependent medium modifications of low mass vector mesons on dilepton production is investigated using nonequilibrium quantum field theory. By working in the two-time representation memory effects are fully taken into account. For ... More

Dilepton production from non-equilibrium hot hadronic matterApr 28 2005It is investigated under which conditions an adiabatic adaption of the dynamic and spectral information of vector mesons to the changing medium in heavy ion collisions, as assumed in schematic model calculations and microscopic transport simulations, ... More

Nonlocal Gravity in the Solar SystemAug 06 2015Jan 06 2016The implications of the recent classical nonlocal generalization of Einstein's theory of gravitation for gravitational physics in the Solar System are investigated. In this theory, the nonlocal character of gravity appears to simulate dark matter. Nonlocal ... More

Gravitomagnetic AcceleratorsMay 16 2010Dec 29 2010We study a simple class of time-dependent rotating Ricci-flat cylindrically symmetric spacetime manifolds whose geodesics admit gravitomagnetic jets. The helical paths of free test particles in these jets up and down parallel to the rotation axis are ... More

Attractor properties for irreversible and reversible interacting particle systemsJul 05 2015We consider translation-invariant interacting particle systems on the lattice with finite local state space admitting at least one Gibbs measure as a time- stationary measure. The dynamics can be irreversible but should satisfy some mild non-degeneracy ... More

Finite hadronization time and unitarity in quark recombination modelMay 12 2005Dec 13 2005The effect of finite hadronization time is considered in the recombination model, and it is shown that the hadron multiplicity turns out to be proportional to the initial quark density and unitarity is conserved in the model. The baryon to meson ratio ... More

Dark Matter in the Private Higgs ModelApr 23 2008May 27 2008The extremely large hierarchy observed in the fermion mass spectrum remains as one of the most puzzling and unresolved issues in particle physics. In a recent proposal, however, it was demonstrated that by introducing one Higgs doublet (or Private Higgs) ... More

Charged vs. Neutral particle creation in expanding Universes: A Quantum Field Theoretic TreatmentJul 30 2003A complete quantum field theoretic study of charged and neutral particle creation in a rapidly/adiabatically expanding Friedman-Robertson-Walker metric for an O(4) scalar field theory with quartic interactions (admitting a phase transition) is given. ... More

From QFT to DCCMar 11 2003A quantum field theoretical model for the dynamics of the disoriented chiral condensate is presented. A unified approach to relate the quantum field theory directly to the formation, decay and signals of the DCC and its evolution is taken. We use a background ... More

Hadron Structure and Spectrum from the LatticeDec 17 2015Lattice calculations for hadrons are now entering the domain of resonances and scattering, necessitating a better understanding of the observed discrete energy spectrum. This is a reviewing survey about recent lattice QCD results, with some emphasis on ... More

The Hadron Spectrum from Lattice QCDNov 20 2007Nov 29 2007Determining the hadron spectrum and hadron properties beyond the ground states is a challenge in lattice QCD. Most of these results have been in the quenched approximation but now we are entering the dynamical era. I review some of the ideas and methods ... More

Computer Stochastics in Scalar Quantum Field TheoryDec 01 1993This is a series of lectures on Monte Carlo results on the non-perturbative, lattice formulation approach to quantum field theory. Emphasis is put on 4D scalar quantum field theory. I discuss real space renormalization group, fixed point properties and ... More

Inflation in Bianchi models and the cosmic no hair theorem in brane worldApr 30 2002In this paper, the cosmic no hair theorem for anisotropic Bianchi models which admit inflation with a scalar field is studied in the framework of Brane world. It is found that all Bianchi models except Bianchi type IX, transit to an inflationary regime ... More

Probability for Primordial Black Holes in Higher Dimensional UniverseJun 13 2001We investigate higher dimensional cosmological models in the semiclassical approximation with Hartle-Hawking Boundary conditions, assuming a gravitational action which is described by the scalar curvature with a cosmological constant. In the framework ... More

Errors induced by the neglect of polarization in radiance calculations for three-dimensional cloudy atmospheresJan 07 2019Remote sensing instruments observe radiation being scattered and absorbed by molecules, aerosol particles, cloud droplets and ice crystals. In order to interpret and accurately model such observations, the vector radiative transfer equation needs to be ... More

Division algebras and transitivity of group actions on buildingsMay 10 2011Nov 27 2012Let D be a division algebra with center F and degree d>2. Let K|F be any splitting field. We analyze the action of D^\times and SL_1(D) on the spherical and affine buildings that may be associated to GL_d(K) and SL_d(K), and in particular show it is never ... More

Foliations with Morse singularitiesNov 13 2006We study codimension one smooth foliations with Morse type singularities on closed ma-nifolds. We obtain a description of the manifold in case the number of centers in greater then the number of saddles. This result relies on and extends previous results ... More

Higher generation for pure braid groupsDec 06 2012Mar 16 2014We exhibit some families of subgroups of the pure braid group that are highly generating, in the sense of Abels and Holz. In one class of examples, the relevant geometric object is a complex termed the restricted arc complex of a surface. Another arises ... More

Separation in the BNSR-invariants of the pure braid groupsJul 30 2015We inspect the BNSR-invariants $\Sigma^m(P_n)$ of the pure braid groups $P_n$, using Morse theory. The BNS-invariants $\Sigma^1(P_n)$ were previously computed by Koban, McCammond and Meier. We prove that for any $3\le m\le n$, the inclusion $\Sigma^{m-2}(P_n)\subseteq ... More

A quantitative approximation scheme for the traveling wave solutions in the Hodgkin-Huxley modelSep 24 2002We introduce an approximation scheme for the Hodgkin-Huxley model of nerve conductance which allows to calculate both the speed of the traveling pulses and their shape in quantitative agreement with the solutions of the model. We demonstrate that the ... More

Lights in the Shadows, 3D-modelling knots with MOCASSINOct 08 2003Most of the enveloppes of Planetary Nebulae (and other objects like novae) are far from beeing homogeneous: clumps, knots and tails are often observed. We present here the first attempt to build a 3D-photoionization model of a knot and the corresponding ... More

MHD Modeling of a Disk-Wind from a High-Mass Protobinary: the case of Orion Source IOct 29 2012Very long baseline interferometry (VLBI) observations of SiO masers in Orion Source I has enabled for the first time to resolve the outflow from a high-mass protostar in the launch and collimation region. Therefore, Source I provides a unique laboratory ... More

Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torusMay 20 2013Sep 09 2015We consider the Kawasaki dynamics at inverse temperature $\beta$ for the Ising lattice gas on a two-dimensional square of length $2L+1$ with periodic boundary conditions. We assume that initially the particles form a square of length $n$, which may increase, ... More

Hadronic Parity Violation at Next-to-Leading OrderJan 23 2012Mar 05 2012The flavor-conserving non-leptonic weak interaction can be studied experimentally through the observation of parity violation in nuclear and few-body systems. At hadronic scales, matrix elements of parity-violating four-quark operators ultimately give ... More

Isotensor Hadronic Parity ViolationJul 20 2012Oct 16 2012Weak interactions between quarks give rise to hadronic parity violation which can be observed in nuclear and few-nucleon systems. We study the QCD renormalization of the isotensor component of parity violation at next-to-leading order accuracy. The renormalization ... More

The partonic structure of the nucleon from generalized transverse momentum-dependent parton distributionsApr 04 2013We discuss the general formalism for the calculation in light-front quark models of the fully unintegrated, off-diagonal quark-quark correlator of the nucleon, parametrized in terms of generalized transverse momentum dependent parton distributions (GTMDs). ... More

Quark Wigner DistributionsJul 20 2011We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and the transverse-momentum ... More

Phase Structure of the O(n) Model on a Random Lattice for n>2Aug 30 1996We show that coarse graining arguments invented for the analysis of multi-spin systems on a randomly triangulated surface apply also to the O(n) model on a random lattice. These arguments imply that if the model has a critical point with diverging string ... More

Exact Solution of the O(n) Model on a Random LatticeJun 29 1995We present an exact solution of the $O(n)$ model on a random lattice. The coupling constant space of our model is parametrized in terms of a set of moment variables and the same type of universality with respect to the potential as observed for the one-matrix ... More

On the paradoxical evolution of the number of photons in a new model of interpolating HamiltoniansSep 06 2016We introduce a new Hamiltonian model which interpolates between the Jaynes-Cummings model and other types of such Hamiltonians. It works with two interpolating parameters, rather than one as traditional. Taking advantage of this greater degree of freedom, ... More

New Photometric Study of A Southern Contact Binary System: HI PuppisFeb 24 2014We present results of new photometric observations of the contact binary system \astrobj{HI Pup} as well as the radial velocity curve of the system. Time series multicolour photometry was obtained at the South African Astronomical Observatory (SAAO) using ... More

PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY frameworkJan 16 2002Extending the supersymmetric method proposed by Tkachuk to the complex domain, we obtain general expressions for superpotentials allowing generation of quasi-exactly solvable PT-symmetric potentials with two known real eigenvalues (the ground state and ... More

sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvaluesAug 10 2000The powerful group theoretical formalism of potential algebras is extended to non-Hermitian Hamiltonians with real eigenvalues by complexifying so(2,1), thereby getting the complex algebra sl(2,\C) or $A_1$. This leads to new types of both PT-symmetric ... More

Field topologies in ideal and near ideal magnetohydrodynamics and vortex dynamicsDec 18 2014Magnetic field topology frozen in ideal magnetohydrodynamics (MHD) and its breakage in near ideal MHD are reviewed in two parts. The first part gives a physically complete description of the frozen in field topology, taking magnetic flux conservation ... More