Exact solutions to relativistic singular fractional power potentials

Agboola, Davids and Zhang, Yao-Zhong (2013) Exact solutions to relativistic singular fractional power potentials. Journal of Physics A: Mathematical and Theoretical, 46 50: 505301.1-505301.15. doi:10.1088/1751-8113/46/50/505301


Author Agboola, Davids
Zhang, Yao-Zhong
Title Exact solutions to relativistic singular fractional power potentials
Journal name Journal of Physics A: Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8113
1751-8121
Publication date 2013-12-20
Sub-type Article (original research)
DOI 10.1088/1751-8113/46/50/505301
Volume 46
Issue 50
Start page 505301.1
End page 505301.15
Total pages 15
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2014
Language eng
Subject 2610 Mathematical Physics
3100 Physics and Astronomy
3109 Statistical and Nonlinear Physics
2611 Modelling and Simulation
2613 Statistics and Probability
Abstract We present (exact) solutions of the Dirac equation with equally mixed interactions for a single fermion bounded by the family of fractional power singular potentials. Closed-form expressions as well as numerical values for the energies were obtained. The wave functions and the allowed values of the potential parameters for the first two members of the family are obtained in terms of a set of algebraic equations. The non-relativistic limit is also discussed and using the Hellmann-Feynmann theorem, some useful expectation values are obtained.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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