Physical sectors of the confluent hypergeometric functions space

2001/05/18 by O. Rosas-Ortiz, J. Negro, L. M. Nieto
Physics and Astronomy · #quant-ph

paper · pdf

published as Rev. Mex. Fis. 49 S1 (2003) 88-89 · LaTeX, 9 pages, no figures, macros included

arxiv created 2001/05/18 · arxiv updated 2009/12/01

Abstract

A relaxed factorization is used to obtain many of the properties obeyed by the confluent hypergeometric functions. Their implications on the analytical solutions of some interesting physical problems are also studied. It is quite remarkable that, although these properties appear frequently in solving the Schroedinger equation, it has been not clear the role they play in describing the physical systems. The main objective of this communication is precisely to throw some light on the subject.

Related

• The factorization of the hypergeometric equation
• Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation
• Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics
• A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation
• A derivation of two transformation formulas contiguous to that of Kummer's second theorem via a differential equation approach