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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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Linking options:
  • https://www.mathnet.ru/eng/tmf9969
  • https://doi.org/10.4213/tmf9969
  • https://www.mathnet.ru/eng/tmf/v206/i1/p97
    • This publication is cited in the following 8 articles:
    1. Gregory Natanson, “Uniqueness of Finite Exceptional Orthogonal Polynomial Sequences Composed of Wronskian Transforms of Romanovski-Routh Polynomials”, Symmetry, 16:3 (2024), 282  crossref
    2. A. D. Alhaidari, H. Bahlouli, “Electrostatic multipole contributions to the binding energy of electrons”, Computational and Theoretical Chemistry, 1222 (2023), 114058  crossref
    3. A. D. Alhaidari, “Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity”, Mod. Phys. Lett. A, 37:07 (2022)  crossref  mathscinet
    4. A. D. Alhaidari, “Progressive approximation of bound states by finite series of square-integrable functions”, Journal of Mathematical Physics, 63:8 (2022)  crossref  mathscinet
    5. Altuntas I., “Effects of Applied External Fields on the Nonlinear Optical Rectification, Second, and Third Harmonic Generation in a Quantum Well With Exponentially Confinement Potential”, Eur. Phys. J. B, 94:9 (2021), 177  crossref  isi  scopus
    6. Assi I.A., Alhaidari A.D., Bahlouli H., “Deformed Morse-Like Potential”, J. Math. Phys., 62:9 (2021), 093501  crossref  mathscinet  isi
    7. Alhaidari A.D., Assi I.A., Mebirouk A., “Bound States of a Quartic and Sextic Inverse-Power-Law Potential For All Angular Momenta”, Eur. Phys. J. Plus, 136:4 (2021), 443  crossref  isi
    8. A. J. Sous, “Studying novel 1D potential via the AIM”, Mod. Phys. Lett. A, 36:20 (2021), 2150141  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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