Zobrazeno 1 - 10
of 153
pro vyhledávání: '"33C90"'
Autor:
Popov, Dušan
The present paper starts from a previously deduced result, in which the $\nu$-function plays the role of the normalization function of generalized hypergeometric coherent states for quantum systems with a continuous spectrum. We have generalized this
Externí odkaz:
http://arxiv.org/abs/2409.05476
Autor:
Popov, Dušan
The paper presents an interesting mathematical feedback between the formalism of coherent states and the field of integrals and integral representations involving special functions. This materializes through an easy and fast method to calculate integ
Externí odkaz:
http://arxiv.org/abs/2408.10749
Autor:
Popov, Dušan
In this paper we examine one of the multiple applications of the theta operator xd/dx in quantum mechanics, namely, in the formalism of generalized hypergeometric coherent states (GHG CSs). These states are the most general coherent states, in the se
Externí odkaz:
http://arxiv.org/abs/2404.13119
We prove that the native space of a Wu function is a dense subspace of a Sobolev space. An explicit characterization of the native spaces of Wu functions is given. Three definitions of Wu functions are introduced and proven to be equivalent. Based on
Externí odkaz:
http://arxiv.org/abs/2310.14762
Autor:
Sussman, Ethan
Publikováno v:
Lett. Math. Phys.113 (2023), no.5, Paper No. 100, 29 pp
We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. The method is a generalization of Pochhammer's regularization of the Eul
Externí odkaz:
http://arxiv.org/abs/2308.12900
Autor:
Mathar, Richard J.
The double sum sum_(j=0)^m sum_(i=0)^j (-1)^(j-i) C(m,j) C(j,i) C(j+k+qi,j+k) with free nonnegative integer parameters k and q is rewritten as hypergeometric series. Efficient formulas to generate the C-finite ordinary generating functions are presen
Externí odkaz:
http://arxiv.org/abs/2306.08022
Autor:
Fitisone, Allison, Zhou, Yuan
This paper addresses the computation of normalized solid angle measure of polyhedral cones. This is well understood in dimensions two and three. For higher dimensions, assuming that a positive-definite criterion is met, the measure can be computed vi
Externí odkaz:
http://arxiv.org/abs/2304.11102
Autor:
Sussman, Ethan
Publikováno v:
Ann. Henri Poincar\'e (2024)
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the 3-point and 4-point functions of BPZ's minimal models of 2D CFT as described by Felder and Silvotti and Dotsenko and Fateev (th
Externí odkaz:
http://arxiv.org/abs/2301.03750
Kamp\'e de F\'eriet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction and summation formulas. In this paper, we define Kamp\'e de F\'erie
Externí odkaz:
http://arxiv.org/abs/2212.14321
Autor:
Jafarov, E. I., Nagiyev, S. M.
Publikováno v:
Romanian Journal of Physics 68, 111 (2023)
Two exactly-solvable confined models of the completely positive oscillator-shaped quantum well are proposed. Exact solutions of the position-dependent mass Schr\"odinger equation corresponding to the proposed quantum well potentials are presented. It
Externí odkaz:
http://arxiv.org/abs/2212.13062