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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
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
Citation:
A. D. Alhaidari, “Exponentially confining potential well”, TMF, 206:1 (2021), 97–111; Theoret. and Math. Phys., 206:1 (2021), 84–96
Linking options:
https://www.mathnet.ru/eng/tmf9969https://doi.org/10.4213/tmf9969 https://www.mathnet.ru/eng/tmf/v206/i1/p97
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Abstract page: | 241 | Full-text PDF : | 112 | References: | 38 | First page: | 13 |
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