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Results for "M. O. Mughal"

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Analysis of Distributed Congestion Control in Cellular Vehicle-to-everything NetworksMar 29 2019Cellular Vehicle-to-everything (C-V2X) communication has been proposed in the 3rd Generation Partnership Project release 14 standard to address the latency and reliability requirements of cooperative safety applications. Such applications can involve ... More
Intelligent Wide-band Spectrum ClassifierApr 12 2019We introduce a new technique for narrow-band (NB) signal classification in sparsely populated wide-band (WB) spectrum using supervised learning approach. For WB spectrum acquisition, Nyquist rate sampling is required at the receiver's analog-to-digital ... More
Topological defects in the crystalline state of one-component plasmas of non-uniform densityFeb 27 2007We study the ground state properties of classical Coulomb charges interacting with a 1/r potential moving on a plane but confined either by a circular hard wall boundary or by a harmonic potential. The charge density in the continuum limit is determined ... More
Neutrino spin-flip effects in active galactic nucleiJun 18 1998Feb 04 2002We study the effects of neutrino spin-flip in the magnetic field, B_{AGN}, of active galactic nuclei (AGN) for high-energy neutrinos (E > 10^{6} GeV) originating from AGN induced by an interplay of the violation of equivalence principle parameterized ... More
Multiple Access in Cellular V2X: Performance Analysis in Highly Congested Vehicular NetworksSep 07 2018Oct 27 2018Vehicle-to-everything (V2X) communication enables vehicles, roadside vulnerable users, and infrastructure facilities to communicate in an ad-hoc fashion. Cellular V2X (C-V2X), which was introduced in the 3rd generation partnership project (3GPP) release ... More
Bounds on R-parity violating SUSY Yukawa couplings from semileptonic decays of baryonsJul 21 1998We consider tree-level corrections to hypercharge changing semileptonic decays of certain baryons induced by a minimal supersymmetric standard model with explicitly broken R-parity via $L$-violation. This study leads to a new set of constraints on the ... More
Screw symmetry in columnar crystalsJun 12 2013We show that the optimal packing of hard spheres in an infinitely long cylinder yields structures characterised by a screw symmetry. Each packing can be assembled by stacking a basic unit cell ad infinitum along the length of the cylinder with each subsequent ... More
Packing of softly repulsive particles in a spherical box - a generalised Thomson problemJun 12 2013We study the (near or close to) ground state distribution of N softly repelling particles trapped in the interior of a spherical box. The charges mutually interact via an inverse power law potential of the form $1/r^\gamma$. We study three regimes in ... More
Curvature in conformal mappings of 2D lattices and foam structureJan 16 2008Apr 12 2011The elegant properties of conformal mappings, when applied to two dimensional (2D) lattices, find interesting applications in 2D foams and other cellular or close packed structures. In particular the 2D honeycomb (whose dual is the triangular lattice) ... More
Phyllotaxis, disk packing and Fibonacci numbersAug 20 2016Nov 09 2016We consider the evolution of the packing of disks (representing the position of buds) that are introduced at the top of a surface which has the form of a growing stem. They migrate downwards, while conforming to three principles, applied locally: dense ... More
Theory of cylindrical dense packings of disksDec 28 2013We have previously explored cylindrical packings of disks and their relation to sphere packings. Here we extend the analytical treatment of disk packings, analysing the rules for phyllotactic indices of related structures and the variation of the density ... More
Phyllotaxis, disk packing and Fibonacci numbersAug 20 2016We consider the evolution of the packing of disks (representing the position of buds) that are introduced at the top of a surface which has the form of a growing stem. They migrate downwards, while conforming to three principles, applied locally: dense ... More
Phyllotactic description of hard sphere packing in cylindrical channelsDec 16 2010Apr 12 2011We develop a simple analytical theory that relates dense sphere packings in a cylinder to corresponding disk packings on its surface. It applies for ratios R=D/d (where d and D are the diameters of the hard spheres and the bounding cylinder, respectively) ... More
Homogeneous and heterogeneous populations of active rods in two-dimensional channelsFeb 05 2019Active swarms, consisting of individual agents which consume energy to move or produce work, are known to generate a diverse range of collective behaviors. Many examples of active swarms are biological in nature (e.g., fish shoals and bird flocks) and ... More
How bees and foams respond to curved confinement: level set boundary representations in the Surface EvolverNov 30 2016We present a Surface Evolver framework for simulating single bubbles and multicellular foams trapped between curved parallel surfaces. We are able to explore a range of geometries using level set constraints to model the bounding surfaces. Unlike previous ... More
Compaction of cereal grainJun 12 2013We report on simple shaking experiments to measure the compaction of a column of Firth oat grain. Such grains are elongated anisotropic particles with a bimodal polydispersity. In these experiments, the particle configurations start from an initially ... More
Columnar structures of soft spheres: Metastability and hysteresisMay 19 2018Oct 08 2018Previously we reported on the stable (i.e. minimal enthalpy) structures of soft monodisperse spheres in a long cylindrical channel. Here, we present further simulations, which significantly extend the original phase diagram up to D/d = 2.714 (ratio of ... More
Curvature driven motion of soap cells in toroidal Hele-Shaw cellsOct 28 2016Apr 04 2017We investigate the equilibrium properties of a single area-minimising bubble trapped between two narrowly-separated parallel curved plates. We begin with the simple case of a a bubble trapped between concentric spherical plates. We develop a model that ... More
Effect of dipolar interactions for domain wall dynamics in magnetic thin filmsOct 06 2009We study the effect of long range dipolar forces on the dynamics and morphology of domain walls in magnetic thin films by numerical simulations of the spin-1 random field Ising model. By studying the size distribution of avalanches of domain wall motion ... More
Curvature driven motion of soap cells in toroidal Hele-Shaw cellsOct 28 2016Nov 10 2016We investigate the equilibrium properties of a single area-minimising bubble trapped between two narrowly-separated parallel curved plates. We begin with the simple case of a a bubble trapped between concentric spherical plates. We develop a model that ... More
Curvature driven motion of soap cells in toroidal Hele-Shaw cellsOct 28 2016We investigate the equilibrium properties of a single area-minimising bubble trapped between two narrowly-separated parallel curved plates. We begin with the simple case of a a bubble trapped between concentric spherical plates. We develop a model that ... More
Modeling domain wall dynamics in thin magnetic strips with disorderSep 25 2009We present a line-based model of transverse domain walls in thin magnetic strips, to study the effect of bulk disorder on the domain wall dynamics within the thermally activated creep regime. The creep velocity is found to exhibit a non-linear dependence ... More
Dense packings of spheres in cylinders I. SimulationsMar 15 2012May 09 2012We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the unrolled surface of a cylinder. The densest structures are described and ... More
Demonstration and interpretation of "scutoid" cells in a quasi-2D soap frothSep 22 2018Recently a novel type of epithelial cell has been discovered and dubbed the "scutoid". It is induced by curvature of the bounding surfaces. We show by simulations and experiments that such cells are to be found in a dry foam subjected to this boundary ... More
Hydrodynamic stability of rotationally supported flows: Linear and nonlinear 2D shearing box resultsApr 01 2004Aug 31 2004We present here both analytical and numerical results of hydrodynamic stability investigations of rotationally supported circumstellar flows using the shearing box formalism. Asymptotic scaling arguments justifying the shearing box approximation are systematically ... More
Theory of rotational columnar structures of soft spheresAug 08 2018Feb 25 2019There is a growing interest in cylindrical structures of hard and soft particles. A promising new method to assemble such structures has recently been introduced by Lee et al. [T. Lee, K. Gizynski, and B. Grzybowski, Adv. Mater. 29, 1704274 (2017)]. They ... More
Theory of rotational columnar structures of soft spheresAug 08 2018Nov 15 2018There is a growing interest in cylindrical structures of hard and soft particles. A promising new method to assemble such structures has recently been introduced by Lee et al. [T. Lee, K. Gizynski, and B. Grzybowski, Advanced Materials 29, 1704274 (2017)], ... More
Development of Wearable Systems for Ubiquitous Healthcare Service ProvisioningApr 01 2014This paper reports on the development of a wearable system using wireless biomedical sensors for ubiquitous healthcare service provisioning. The prototype system is developed to address current healthcare challenges such as increasing cost of services, ... More
Multifractal modeling of short-term interest ratesNov 22 2011We propose a multifractal model for short-term interest rates. The model is a version of the Markov-Switching Multifractal (MSM), which incorporates the well-known level effect observed in interest rates. Unlike previously suggested models, the level-MSM ... More
Electrical resistivity at large temperatures: Saturation and lack thereofSep 04 2002Many transition metal compounds show saturation of the resistivity at high temperatures, T, while the alkali-doped fullerenes and the high-Tc cuprates are usually considered to show no saturation. We present a model of transition metal compounds, showing ... More
Saturation of electrical resistivity in metals at large temperaturesJun 20 2001Jan 11 2002We present a microscopic model for systems showing resistivity saturation. An essentially exact quantum Monte-Carlo calculation demonstrates that the model describes saturation. We give a simple explanation for saturation, using charge conservation and ... More
The Friedrichs-Model with fermion-boson couplingsMar 28 2007In this work we present an extended version of the Friedrichs Model, which includes fermion-boson couplings. The set of fermion bound states is coupled to a boson field with discrete and continuous components. As a result of the coupling some of the fermion ... More
The parity-preserving massive QED3: vanishing beta-function and no parity anomalyMay 31 2015Aug 27 2015The parity-preserving massive QED3 exhibits vanishing gauge coupling beta-function and is parity and infrared anomaly free at all orders in perturbation theory. Parity is not an anomalous symmetry, even for the parity-preserving massive QED3, in spite ... More
Ring of physical states in the M(2,3) Minimal Liouville gravityJun 08 2009Oct 26 2009We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity sector are represented by irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes. This construction is based on using an ... More
Physics Fundamentals of Luminous Accretion Disks Around Black HolesNov 15 2002These lectures provide an overview of the theory of accretion disks with application to bright sources containing black holes. I focus on the fundamental physics of these flows, stressing modern developments and outstanding questions wherever possible. ... More
Sp(4,R)/GL(2,R) Matrix Structure of Geodesic Solutions for Einstein--Maxwell--Dilaton--Axion TheoryApr 14 1996The constructed $Sp(4,R)/GL(2,R)$ matrix operator defines the family of isotropic geodesic containing vacuum point lines in the target space of the stationary D=4 Einstein--Maxwell--dilaton--axion theory. This operator is used to derive a class of solutions ... More
Symplectic Gravity Models in Four, Three and Two DimensionsOct 28 1996A class of the $D=4$ gravity models describing a coupled system of $n$ Abelian vector fields and the symmetric $n \times n$ matrix generalizations of the dilaton and Kalb-Ramond fields is considered. It is shown that the Pecci-Quinn axion matrix can be ... More
Kramer--Neugebauer Transformation for Einstein--Maxwell--Dilaton--Axion TheoryApr 28 1996The Kramer--Neugebauer--like transformation is constructed for the stationary axisymmetric D=4 Einstein--Maxwell--dilaton--axion system. This transformation directly maps the dualized sigma--model equations of the theory into the nondualized ones. Also ... More
The Equations of MagnetoquasigeostrophyJan 02 2013The dynamics contained in magnetized layers of exoplanet atmospheres are important to understand in order to characterize what observational signatures they may provide for future observations. It is important to develop a framework to begin studying ... More
Exploring the Gamma Ray Horizon with the next generation of Gamma Ray Telescopes. Part 1: Theoretical predictionsJul 31 2001Jun 17 2004The physics potential of the next generation of Gamma Ray Telescopes in exploring the Gamma Ray Horizon is discussed. It is shown that the reduction in the Gamma Ray detection threshold might open the window to use precise determinations of the Gamma ... More
Optimal observables for measuring three-gauge-boson couplings in $e^+ e^- \to W^+ W^-$Mar 01 1996Observables with optimised sensitivity to the $WWZ$ and $WW\gamma$-couplings in $e^+ e^- \to W^+ W^-$ are investigated. They allow for separate studies of CP violation and of absorptive parts in the amplitude. We have calculated expected statistical errors ... More
Recent Measurements of Neutrino-Nucleus Quasi-Elastic ScatteringJul 18 2011We present recent measurements of neutrino charged current quasi-elastic (CC QE) scattering, nu_mu + p -> mu- + n. Measurements of CC QE on carbon near 1 GeV by MiniBooNE and SciBooNE, as well as measurements on iron at 3 GeV by MINOS, disagree with current ... More
From Fractional Chern Insulators to a Fractional Quantum Spin Hall EffectJul 11 2011Jan 18 2012We investigate the algebraic structure of flat energy bands a partial filling of which may give rise to a fractional quantum anomalous Hall effect (or a fractional Chern insulator) and a fractional quantum spin Hall effect. Both effects arise in the case ... More
Soliton splitting in quenched classical integrable systemsDec 07 2015We take a soliton solution of a classical non-linear integrable equation and quench (suddenly change) its non-linearity parameter. For that we multiply the amplitude or the width of a soliton by a numerical factor $\eta$ and take the obtained profile ... More
Full counting statistics of a chaotic cavity with asymmetric leadsMar 16 2004Sep 05 2005We study the statistics of charge transport in a chaotic cavity attached to external reservoirs by two openings of different size which transmit non-equal number of quantum channels. An exact formula for the cumulant generating function has been derived ... More
Higgs sector of the MSSM: lepton flavor violation at colliders and neutralino dark matterFeb 19 2010We examine the prospects for the detection of Higgs mediated lepton flavor violation at LHC and at a photon collider in the minimal supersymmetric standard model with large lepton flavor violating mass insertions in the $\mu-\tau$ sector constraining ... More
Correcting the chromatic and airmass dependent extinction for TIMMI2 spectraApr 09 2004We present a method to correct the chromatic and airmass dependent extinction for N-band spectra taken with the TIMMI2 instrument at the ESO / La Silla observatory. Usually, the target and calibrator star have to be observed at similar airmass in order ... More
A global and non-entropic arrow of time: the double role of the energy-momentum tensorMay 14 2003In this paper we adopt a global and non-entropic approach to the problem of the arrow of time, according to which the arrow of time is an intrinsic geometrical property of spacetime. Our main aim is to show the double role played by the energy-momentum ... More
Hypothetical Gravity Control and Implications for Spacecraft PropulsionJul 31 2002A scientific analysis of the conditions under which gravity could be controlled and the implications that an hypothetical manipulation of gravity would have for known schemes of space propulsion have been the scope of a recent study carried out for the ... More
Wavy way to the Kerr metric and the quantum nature of its ring singularitySep 17 2015Mar 16 2016From inherent non-linearity two gravitational waves, unless they are unidirectional, fail to satisfy a superposition law. They collide to develop a new spacetime carrying the imprints of the incoming waves. Same behaviour is valid also for any massless ... More
A new method to reduce the statistical and systematic uncertainty of chance coincidence backgrounds measured with waveform digitizersNov 18 2016A new method for measuring chance-coincidence backgrounds during the collection of coincidence data is presented. The method relies on acquiring data with near-zero dead time, which is now realistic due to the increasing deployment of flash electronic-digitizer ... More
Flow Equation of Quantum Einstein Gravity in a Higher-Derivative TruncationMay 07 2002Motivated by recent evidence indicating that Quantum Einstein Gravity (QEG) might be nonperturbatively renormalizable, the exact renormalization group equation of QEG is evaluated in a truncation of theory space which generalizes the Einstein-Hilbert ... More
Towards Nonperturbative Renormalizability of Quantum Einstein GravityDec 11 2001We summarize recent evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity (QEG) is nonperturbatively renormalizable along the lines of Weinberg's asymptotic safety scenario. This would mean that QEG is mathematically consistent ... More
Killing vector fields and a homogeneous isotropic universeOct 12 2016Some basic theorems on Killing vector fields are reviewed. In particular, the topic of a constant-curvature space is examined. A detailed proof is given for a theorem describing the most general form of the metric of a homogeneous isotropic space-time. ... More
Core percolation in random graphs: a critical phenomena analysisFeb 01 2001Jan 07 2002We study both numerically and analytically what happens to a random graph of average connectivity "alpha" when its leaves and their neighbors are removed iteratively up to the point when no leaf remains. The remnant is made of isolated vertices plus an ... More
Exactly solvable model with two conductor-insulator transitions driven by impuritiesJun 29 2000Mar 02 2001We present an exact analysis of two conductor-insulator transitions in the random graph model. The average connectivity is related to the concentration of impurities. The adjacency matrix of a large random graph is used as a hopping Hamiltonian. Its spectrum ... More
Threshold values of autoresonant pumpingMar 19 2013There exists stable growing solution of primary resonant equation for a autoresonant pumping with decreasing amplitude. The primary term of asymptotics is $O(\sqrt{t})$ and does not depend on order of the force from some interval. We point to the interval ... More
Oscillations near separatrix for perturbed Duffing equationMar 26 2009A periodic perturbation generates a complicated dynamics close to separatrices and saddle points. We construct an asymptotic solution which is close to the separatrix for the unperturbed Duffing's oscillator over a long time. This solution is defined ... More
The Fourier method for the linearized Davey-Stewartson I equationJan 20 1997The linearized Davey-Stewartson equation with varing coefficients is solved by Fourier method. The approach uses the inverse scattering transform for the Davey-Stewartson equation.
Long time behaviour in a model of microtubule growthJan 29 2010We study a continuous time stochastic process on strings made of two types of particles, whose dynamics mimics the behaviour of microtubules in a living cell; namely, the strings evolve via a competition between (local) growth/shrinking as well as (global) ... More
Effect of power-law Maxwell field to the gravitational lensingMar 17 2019Apr 10 2019In this paper, we extend the gravitational bending of light studies in Kottler metrics to comprise nonlinear electrodynamics within the framework of Einstein - power - Maxwell theory. We show that the closest approach distance and the gravitational bending ... More
On local equivalence problem of spacetimes with two orthogonally transitive commuting Killing fieldsSep 26 2007Considered is the problem of local equivalence of generic four-dimensional metrics possessing two commuting and orthogonally transitive Killing vector fields. A sufficient set of eight differential invariants is explicitly constructed, among them four ... More
On the viability of the shearing box approximation for numerical studies of MHD turbulence in accretion disksNov 06 2007Feb 28 2008Most of our knowledge on the nonlinear development of the magneto-rotational instability (MRI) relies on the results of numerical simulations employing the shearing box (SB) approximation. A number of difficulties arising from this approach have recently ... More
On the value of the Curie temperature in doped manganitesApr 26 2000Dec 11 2000We have verified that the variational mean field theory approach suggested by Narimanov and Varma (preprint cond-mat/0002191) being applied to the realistic two-band model provides a good agreement with experimental data for the Curie temperature in doped ... More
Unconventional superfluidity in Bose-Fermi MixturesJun 11 2009Pairing between fermions that attract each other, reveal itself to the macroscopic world in the form of superfluidity. Since the discovery of fermionic superfluidity, intense search has been going on to find various unconventional forms of fermion pairing ... More
On Static Dielectric Response of Microcomposites of the Type Ferrolastics-Dielectrics For Application in Solid Oxide Fuel Cells (SOFC)Oct 30 2016We describe the static dielectric response of ferroelastic-dielectric microcomposites. Dependence on temperature, pressure and concentration is considered for temperatures in the paraelastic transition. In recent years there has been considerable interest ... More
Subtracted dispersion relation formalism for the two-photon exchange correction to elastic electron-proton scattering: comparison with dataAug 22 2014Jan 28 2016We apply a subtracted dispersion relation formalism with the aim to improve predictions for the two-photon exchange corrections to elastic electron-proton scattering observables at finite momentum transfers. We study the formalism on the elastic contribution, ... More
The Jackiw-Pi model: classical theorySep 25 2012Mar 07 2013The massive even-parity non-Abelian gauge model in three space-time dimensions proposed by Jackiw and Pi is studied at the tree-level. The propagators are computed and the spectrum consistency is analyzed, besides, the symmetries of the model are collected ... More
Probing the Nielsen identitiesFeb 27 1999May 26 1999We present some comments concerning the validity of the Nielsen identities for renormalizable theories quantized in general linear covariant gauges in a context of compact gauge Lie groups.
Two-photon exchange correction to muon-proton elastic scattering at low momentum transferDec 30 2015Mar 11 2016We evaluate the two-photon exchange (TPE) correction to the muon-proton elastic scattering at small momentum transfer. Besides the elastic (nucleon) intermediate state contribution, which is calculated exactly, we account for the inelastic intermediate ... More
What is Surrealistic about Bohm Trajectories?Sep 03 1998We discuss interferometers in Bohmian quantum mechanics. It is shown that, with the correct configuration space, Bohm trajectories in a which way interferometer are not surrealistic, but behaves exactly as common sense suggests. Some remarks about a way ... More
U(1,1)--Invariant Generation of Charges for Einstein--Maxwell--Dilaton--Axion TheoryAug 21 1996The action of the isometry subgroup which preserves the trivial values of the fields is studied for the stationary D=4 Einstein--Maxwell--Dilaton--Axion theory. The technique for generation of charges and the corresponding procedure for construction of ... More
Separation of variables for the classical and quantum Neumann modelJan 16 1992The method of separation of variables is shown to apply to both the classical and quantum Neumann model. In the classical case this nicely yields the linearization of the flow on the Jacobian of the spectral curve. In the quantum case the Schr\"odinger ... More
Potential vorticity dynamics in the framework of disk shallow-water theory: I. The Rossby wave instabilityAug 12 2010The Rossby wave instability in astrophysical disks is as a potentially important mechanism for driving angular momentum transport in disks. We aim to understand this instability in an approximate three-dimensional disk model environment which we assume ... More
On the stratorotational instability in the quasi-hydrostatic semi-geostrophic limitJun 01 2005Sep 13 2005The linear normal-mode stratorotational instability (SRI) is analytically reexamined in the inviscid limit where the length scales of horizontal disturbances are large compared their vertical and radial counterparts. Boundary conditions different than ... More
Possible high-temperature superconductors predicted from electronic structure and data-filtering algorithmsSep 30 2011We report here the completion of the electronic structure of the majority of the known stoichiometric inorganic compounds, as listed in the International Crystal Structure Data-base (ICSD). We make a detailed comparison of the electronic structure, crystal ... More
Exploring the Gamma Ray Horizon with the next generation of Gamma Ray Telescopes. Part 2: Extracting cosmological parameters from the observation of gamma-ray sourcesJun 02 2004The potential of the new generation Cherenkov Telescopes to measure the energy spectrum of both, the already established extragalactic very high energy gamma-ray emitters and the best very high energy candidates from the EGRET catalogue is discussed. ... More
Timescales of Kozai-Lidov oscillations at quadrupole and octupole order in the test particle limitApr 22 2015Jul 09 2015Kozai-Lidov (KL) oscillations in hierarchical triple systems have found application to many astrophysical contexts, including planet formation, type Ia supernovae, and supermassive black hole dynamics. The period of these oscillations is known at the ... More
The non-perturbative QCD Debye mass from a Wilson line operatorMay 05 1999May 25 1999According to a proposal by Arnold and Yaffe, the non-perturbative g^2T-contribution to the Debye mass in the deconfined QCD plasma phase can be determined from a single Wilson line operator in the three-dimensional pure SU(3) gauge theory. We extend a ... More
Gauge-invariant scalar and field strength correlators in 3dNov 13 1997Gauge-invariant non-local scalar and field strength operators have been argued to have significance, e.g., as a way to determine the behaviour of the screened static potential at large distances, as order parameters for confinement, as input parameters ... More
Photoinduced electrification of solids: II. Photovoltage transientsAug 19 2005In relevance to the photoelectrification mechanisms proposed in Part I, we derive rate equations for the negative-u and STE photoelectrification modes and solve them under conditions close to experimental ones. Exact solutions are obtained for the case ... More
Hall-Littlewood plane partitions and KPSep 12 2008Feb 14 2009MacMahon's classic generating function of random plane partitions, which is related to Schur polynomials, was recently extended by Vuletic to a generating function of weighted plane partitions that is related to Hall-Littlewood polynomials, S(t), and ... More
Stability and symmetry breaking in the general three-Higgs-doublet modelAug 28 2014Jul 17 2015Stability, electroweak symmetry breaking, and the stationarity equations of the general three-Higgs-doublet model (3HDM) where all doublets carry the same hypercharge are discussed in detail. Employing the bilinear formalism the study of the 3HDM potential ... More
Quantum Hall EffectsSep 10 2009Oct 21 2009These lecture notes yield an introduction to quantum Hall effects both for non-relativistic electrons in conventional 2D electron gases (such as in semiconductor heterostructures) and relativistic electrons in graphene. After a brief historical overview ... More
Vortex lattice of a Bose-Einstein Condensate in a rotating anisotropic trapSep 26 2003We study the vortex lattices in a Bose-Einstein Condensate in a rotating anisotropic harmonic trap. We first investigate the single particle wavefunctions obtained by the exact solution of the problem and give simple expressions for these wavefunctions ... More
Autoresonant soliton and decay pumpingJan 29 2013The primary resonance equation in partial derivatives with external force and slowly varying frequency is derived. The leading-order term of asymptotic solution is constructed as a soliton with growing amplitude when time is large. This growing solution ... More
Asymptotic approach for the rigid condition of appearance of the oscillations in the solution of the Painleve-2 equationFeb 05 1999The asymptotic solution for the Painleve-2 equation with small parameter is considered. The solution has algebraic behavior before point $t_*$ and fast oscillating behavior after the point $t_*$. In the transition layer the behavior of the asymptotic ... More
Is Quantum Einstein Gravity Nonperturbatively Renormalizable?Oct 02 2001We find considerable evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity is ``asymptotically safe'' in Weinberg's sense. This would mean that the theory is likely to be nonperturbatively renormalizable and thus could be considered ... More
Point massive particle in General RelativityJul 15 2012Sep 03 2013It is well known that the Schwarzschild solution describes the gravitational field outside compact spherically symmetric mass distribution in General Relativity. In particular, it describes the gravitational field outside a point particle. Nevertheless, ... More
No evidence yet for hadronic TeV gamma-ray emission from SNR RX J1713.7-3946May 16 2002Jun 25 2002Recent TeV-scale gamma-ray observations with the CANGAROO II telescope have led to the claim that the multi-band spectrum of RX J1713.7-3946 cannot be explained as the composite of a synchrotron and an inverse Compton component emitted by a population ... More
Delta-Operator on Semidensities and Integral Invariants in the Batalin-Vilkovisky GeometrySep 21 1999The action of Batalin-Vilkovisky Delta-operator on semidensities in an odd symplectic superspace is defined. This is used for the construction of integral invariants on surfaces embedded in an odd symplectic superspace and for more clear interpretation ... More
Decay estimates for One-dimensional wave equations with inverse power potentialsAug 16 2012Oct 23 2014We study the one-dimensional wave equation with an inverse power potential that equals $const.x^{-m}$ for large $|x|$ where $m$ is any positive integer greater than or equal to 3. We show that the solution decays pointwise like $t^{-m}$ for large $t$, ... More
A class of vector identities relevant to the representation of the electric current densityFeb 15 2007A rigorous mathematical proof is given of a class of vector identities that provide a way to separate an arbitrary vector field (over a linear space) into the sum of a radial (i.e., pointing toward the radial unit vector) vector field, minus the divergence ... More
Neutralino Dark Matter and Higgs mediated Lepton Flavor Violation in the Minimal Supersymmetric Standard ModelOct 17 2009Feb 17 2010We consider the minimal supersymmetric standard model within a scenario of large $\tan\beta$ and heavy squarks and gluinos, with masses of the heavy neutral Higgs bosons below the TeV scale. We allow for the presence of a large, model independent, source ... More
Spinning particles in vacuum spacetimes of different curvature typesMay 05 2015Sep 23 2015We consider the motion of spinning test particles with nonzero rest mass in the "pole-dipole" approximation, as described by the Mathisson-Papapetrou-Dixon (MPD) equations, and examine its properties in dependence on the spin supplementary condition added ... More
The symplectic structure of the spin Calogero modelJul 10 1997We compute the symplectic structure of the spin Calogero model in terms of algebro-geometric data on the associated spectral curve.
Riemann surfaces, separation of variables and classical and quantum integrabilitySep 09 2002Sep 16 2002We show that Riemann surfaces, and separated variables immediately provide classical Poisson commuting Hamiltonians. We show that Baxter's equations for separated variables immediately provide quantum commuting Hamiltonians. The construction is simple, ... More
An idealized model for dust-gas interaction in a rotating channelJan 09 2007Jan 11 2007A 2D model representing the dynamical interaction of dust and gas in a planetary channel is explored. The two components are treated as interpenetrating fluids in which the gas is treated as a Boussinesq fluid while the dust is treated as pressureless. ... More
Symmetries and renormalisation in two-Higgs-doublet modelsJun 07 2011We discuss the classification of symmetries and the corresponding symmetry groups in the two-Higgs-doublet model (THDM). We give an easily useable method how to determine the symmetry class and corresponding symmetry group of a given THDM Higgs potential. ... More
On the phenomenology of a two-Higgs-doublet model with maximal CP symmetry at the LHC, II: radiative effectsDec 14 2009The processes proton + antiproton -> gamma + heavy-flavour jet(s) + X and proton + proton -> gamma + heavy-flavour jet(s) + X are studied in the framework of a special two-Higgs-doublet model, the MCPM. As distinguishing feature of this model we find ... More