Premium
Non‐relativistic Eigen spectra with q ‐deformed physical potentials by using the SUSY approach
Author(s) -
Eshghi M.,
Mehraban H.,
Ghafoori M.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4032
Subject(s) - hypergeometric function , supersymmetry , mathematics , mathematical physics , schrödinger equation , hypergeometric distribution , energy (signal processing) , wave function , eigenvalues and eigenvectors , spectral line , mathematical analysis , physics , quantum mechanics , pure mathematics , statistics
The Schrödinger equation is solved for some of the q ‐deformed physical potentials within the framework of supersymmetric approach and supersymmetric Wentzel–Kramers–Brillouin approximation method. The energy levels are obtained with the corresponding normalized wave functions in terms of hypergeometric functions. The energy equations for some special cases of these potentials are discussed, and some of the thermodynamic quantities of the canonical system and the optical quantities of the two‐level system are calculated for one of the potentials. Some of the numerical results are shown, too. Copyright © 2016 John Wiley & Sons, Ltd.