搜索结果: 1-15 共查到“数学物理 L-functions”相关记录26条 . 查询时间(0.893 秒)
Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
deformed Bose gas model deformed oscillators intercepts of correlation functions
2012/4/16
Recently, the deformed \mu-Bose gas model based on a set of so called \mu-deformed oscillators was proposed. Within that model, the intercepts of r-particle momentum correlation functions (correlation...
Extremum conditions for functionals involving higher derivatives of several variable vector valued functions
Variational problems critical points extremum conditions
2011/9/21
Abstract: This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several variable vec...
On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
2011/9/19
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...
Parameter-free ansatz for inferring ground state wave functions of even potentials
Parameter-free ansatz state wave functions Quantum Physics Mathematical Physics
2011/10/9
Abstract: Schr\"odinger's equation (SE) and the information-optimizing principle based on Fisher's information measure (FIM) are intimately linked, which entails the existence of a Legendre transform ...
Correlation functions evolution for the Glauber dynamics in continuum
Correlation functions evolution the Glauber dynamics continuum
2011/9/14
Abstract: We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach...
Coulomb singularities in scattering wave functions of spin-orbit-coupled states
coulomb singularities spin-orbit-coupled states scattering wave functions
2011/10/8
Abstract: We report on our analysis of the Coulomb singularity problem in the frame of the coupled channel scattering theory including spin-orbit interaction. We assume that the coupling between the p...
The cryptohermitian smeared-coordinate representation of wave functions
wave functions cryptohermitian smeared-coordinate representation Quantum Physics
2011/9/30
Abstract: The one-dimensional real line of coordinates is replaced, for simplification or approximation purposes, by an N-plet of the so called Gauss-Hermite grid points. These grid points are interpr...
Spectral functions of products of selfadjoint operators
Product of selfadjoint operators indefinite inner product definitizable operator
2011/8/30
Abstract: Given two possibly unbounded selfadjoint operators A and G such that the resolvent sets of AG and GA are non-empty, it is shown that the operator AG has a spectral function on IR with singul...
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant
Hurwitz zeta function Riemann zeta function Dirichlet L function generalized Bernoulli number
2011/7/26
Series representations of the Riemann and Hurwitz zeta functions and series and integral representations of the first Stieltjes constant.
Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity
Elliptic hyperelliptic function particle motion beneath small-amplitude water waves
2011/7/26
Abstract: We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity curr...
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function
Fractional trigonometric function complex function local fractional calculus fractal space
2011/7/26
Abstract: This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
Mittag-Leer Functions Complete Monotonicity Laplace Transform Fractional Di erential Equations
2011/7/27
Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics.
A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator
Blaschke-type estimates Lieb Thirring type inequalities finite-band selfadjoint operators complex compact perturbation
2011/7/27
Abstract: This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the authors obtain Blaschke-type conditions for special classes of analytic functions in the unit disk which satisfy c...
Quantum mechanical potentials exactly solvable in terms of higher hypergeometric functions. I: The third-order case
Quantum mechanical higher hypergeometric third-order
2011/7/25
Abstract: We present a new six-parameter family of potentials whose solutions are expressed in terms of the hypergeometric functions 3F2, 2F2 and 1F2. Both the scattering data and the bound states of ...
Algorithm xxx: computing the Faddeyeva and Voigt functions
Faddeyeva Voigt functions computing Mathematical Physics
2011/7/27
Abstract: We present a MATLAB function for the numerical evaluation of the Faddeyeva function w(z). The function is based on a newly developed accurate algorithm. In addition to its higher accuracy, t...