Browsing Mathematics / Matematik by Publisher "IOP Publishing"
Now showing items 1-20 of 33
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Analytic solutions to nonlinear differential-difference equations by means of the extended (G′/G)-expansion method
(IOP Publishing, 2010-10)In this paper, a discrete extension of the (G′/G)-expansion method is applied to a relativistic Toda lattice system and a discrete nonlinear Schrödinger equation in order to obtain discrete traveling wave solutions. Closed ... -
Boundary shape and Casimir energy
(IOP Publishing, 2009-08)Casimir energy changes are investigated for geometries obtained by small but arbitrary deformations of a given geometry for which the vacuum energy is already known for the massless scalar field. As a specific case, ... -
The Cauchy problem for the planar spin-liquid model
(IOP Publishing, 2005)In this paper, we study the Cauchy problem of a two-dimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear ... -
Damped parametric oscillator and exactly solvable complex Burgers equations
(IOP Publishing, 2012)We obtain exact solutions of a parametric Madelung fluid model with dissipation which is linearazible in the form of Schrödinger equation with time variable coefficients. The corresponding complex Burgers equation is solved ... -
Dynamics of squeezed states of a generalized quantum parametric oscillator
(IOP Publishing, 2019)Time-evolution of squeezed coherent states of a generalized Caldirola-Kanai type quantum parametric oscillator is found explicitly using the exact evolution operator obtained by the Wei-Norman algebraic approach. Properties ... -
Energy calibration and resolution of the CMS electromagnetic calorimeter in pp collisions at √s = 7 TeV
(IOP Publishing, 2013-09)The energy calibration and resolution of the electromagnetic calorimeter (ECAL) of the CMS detector have been determined using proton-proton collision data from LHC operation in 2010 and 2011 at a centre-of-mass energy of ... -
Energy localization in maximally entangled two- and three-qubit phase space
(IOP Publishing, 2012-06)Motivated by theMobius transformation for symmetric points under the generalized circle in the complex plane, the system of symmetric spin coherent states corresponding to antipodal qubit states is introduced. In terms of ... -
Exact quantization of Cauchy-Euler type forced parametric oscillator
(IOP Publishing, 2016-10)Driven and damped parametric quantum oscillator is solved by Wei-Norman Lie algebraic approach, which gives the exact form of the evolution operator. This allows us to obtain explicitly the probability densities, time-evolution ... -
Exact solutions of a fractional-type differential-difference equation related to discrete MKdV equation
(IOP Publishing, 2014-05)The extended simplest equation method is used to solve exactly a new differential-difference equation of fractional-type, proposed by Narita [J. Math. Anal. Appl. 381 (2011) 963] quite recently, related to the discrete ... -
Filamentary structures of the cosmic web and the nonlinear Schrödinger type equation
(IOP Publishing, 2011)We show that the filamentary type structures of the cosmic web can be modeled as solitonic waves by solving the reaction diffusion system which is the hydrodynamical analogous of the nonlinear Schrödinger type equation. ... -
From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves
(IOP Publishing, 2016-10)We extend the concept of q-analytic function in two different directions. First we find expansion of q-binomial in terms of q-Hermite polynomials, analytic in two complex arguments. Based on this representation, we introduce ... -
Golden quantum oscillator and Binet-Fibonacci calculus
(IOP Publishing, 2012-01)The Binet formula for Fibonacci numbers is treated as a q-number and a q-operator with Golden ratio bases q = and Q = 1/, and the corresponding Fibonacci or Golden calculus is developed. A quantum harmonic oscillator for ... -
Hamiltonian dynamics of N vortices in concentric annular region
(IOP Publishing, 2011-05)The problem of N vortex dynamics in annular domain is considered. The region is canonical one and allows by conformal mapping apply results to an arbitrary position of two cylinders in the plane. Using previous solution, ... -
Identification of b-quark jets with the CMS experiment
(IOP Publishing, 2013-04)At the Large Hadron Collider, the identification of jets originating from b quarks is important for searches for new physics and for measurements of standard model processes. A variety of algorithms has been developed by ... -
Integrable hierarchies and information measures
(IOP Publishing, 2008-06)In this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimensional isentropic fluid, with ... -
A many-body problem with point interactions on two-dimensional manifolds
(IOP Publishing, 2013-02)A non-perturbative renormalization of a many-body problem, where non-relativistic bosons living on a two-dimensional Riemannian manifold interact with each other via the two-body Dirac delta potential, is given by the help ... -
Material derivatives of boundary integral operators in electromagnetism and application to inverse scattering problems
(IOP Publishing, 2016-07-05)This paper deals with the material derivative analysis of the boundary integral operators arising from the scattering theory of time-harmonic electromagnetic waves and its application to inverse problems. We present new ... -
Performance of photon reconstruction and identification with the CMS detector in proton-proton collisions at √s = 8 TeV
(IOP Publishing, 2015-08)A description is provided of the performance of the CMS detector for photon reconstruction and identification in proton-proton collisions at a centre-of-mass energy of 8 TeV at the CERN LHC. Details are given on the ... -
Q-analog of shock soliton solution
(IOP Publishing, 2010-11)Based on Jackson's q-exponential function, we introduce a q-analog of Hermite and Kampe de Feriet polynomials. It allows us to introduce and solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary ... -
Q-analytic functions, fractals and generalized analytic functions
(IOP Publishing, 2014-01)We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy-Riemann equations and have real and imaginary parts as q-harmonic functions. We show ...
