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The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential
Joint Authors
Ishkhanyan, T. A.
Ishkhanyan, A. M.
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce the third five-parametric ordinary hypergeometric energy-independent quantum-mechanical potential, after the Eckart and Pöschl-Teller potentials, which is proportional to an arbitrary variable parameter and has a shape that is independent of that parameter.
Depending on an involved parameter, the potential presents either a short-range singular well (which behaves as inverse square root at the origin and vanishes exponentially at infinity) or a smooth asymmetric step-barrier (with variable height and steepness).
The general solution of the Schrödinger equation for this potential, which is a member of a general Heun family of potentials, is written through fundamental solutions each of which presents an irreducible linear combination of two Gauss ordinary hypergeometric functions.
American Psychological Association (APA)
Ishkhanyan, T. A.& Ishkhanyan, A. M.. 2018. The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1117993
Modern Language Association (MLA)
Ishkhanyan, T. A.& Ishkhanyan, A. M.. The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential. Advances in High Energy Physics No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1117993
American Medical Association (AMA)
Ishkhanyan, T. A.& Ishkhanyan, A. M.. The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1117993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1117993