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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 206, Number 1, Pages 97–111
DOI: https://doi.org/10.4213/tmf9969 (Mi tmf9969) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Exponentially confining potential well

A. D. Alhaidari

Saudi Center for Theoretical Physics,, Jeddah, Saudi Arabia
Full-text PDF (659 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf9969
Abstract: We introduce an exponentially confining potential well that can be used as a model to describe the structure of a strongly localized system. We obtain an approximate partial solution of the Schrödinger equation with this potential well where we find the lowest energy spectrum and the corresponding wavefunctions. We use the tridiagonal representation approach as the method for obtaining the solution as a finite series of square-integrable functions written in terms of Bessel polynomials.
Keywords: exponential potential, tridiagonal representation approach, Bessel polynomial.
Received: 07.08.2020
Revised: 22.08.2020
English version:
Theoretical and Mathematical Physics, 2021, Volume 206, Issue 1, Pages 84–96
DOI: https://doi.org/10.1134/S0040577921010050
Bibliographic databases:
Document Type: Article
PACS: 03.65.Ge, 03.65.Fd, 34.80.Bm, 03.65.Ca
Language: Russian
Citation: A. D. Alhaidari, “Exponentially confining potential well”, TMF, 206:1 (2021), 97–111; Theoret. and Math. Phys., 206:1 (2021), 84–96
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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