Physical sectors of the confluent hypergeometric functions space

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.

LaTeX, 9 pages, no figures, macros included

Cited by in corpus (9)

• Nuclear fusion in dense matter: Reaction rate and carbon burning
• Fusion reactions in multicomponent dense matter
• New supersymmetry-generated complex potentials with real spectra
• SU(1,1) Coherent States For Position-Dependent Mass Singular Oscillators
• Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time
• New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
• Gamow vectors and Supersymmetric Quantum Mechanics
• Theoretical exploration of $S$-factors for nuclear reactions of astrophysical importance
• Degeneracy and coherent states of the two-dimensional Morse potential