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Non‐relativistic continuous states in arbitrary dimension for a ring‐shaped pseudo‐Coulomb and energy‐dependent potentials
Author(s) -
Eshghi Mahdi,
Mehraban Hossein
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.3592
Subject(s) - dimension (graph theory) , coulomb , mathematics , ring (chemistry) , mathematical physics , energy (signal processing) , quantum electrodynamics , quantum mechanics , physics , pure mathematics , electron , chemistry , organic chemistry , statistics
In this research, the non‐relativistic particle scattering has been investigated for an alternative pseudo‐Coulomb potential plus ring‐shaped and an energy‐dependent potentials in D ‐dimensional space. The normalized wave functions of continuous states on the k /2 π scale are expressed in terms of the hyper‐geometric series, and formula of phase shifts is presented. Analytical properties of the scattering amplitude and thermodynamics properties are discussed. Some of the numerical results of energy levels have been calculated too. Copyright © 2015 John Wiley & Sons, Ltd.