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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 2, Pages 291–298
DOI: https://doi.org/10.4213/tmf6682 (Mi tmf6682) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exact $S$-wave solution of the Schrödinger equation for three new potentials using the transformation method

N. Saikia, S. A. S. Ahmed

Department of Physics, Gauhati University, Guwahati, India
Full-text PDF (304 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6682
Abstract: We apply the extended transformation method to a non-power-law potential to generate a set of exactly solvable quantum systems in spaces of any dimensions. We derive exact analytic solutions of the Schrödinger equations with an exactly solvable non-power-law potential. For the transformed potentials obtained as a result, we calculate the quantized bound-state energy spectra and the corresponding wave functions.
Keywords: Schrödinger equation, extended transformation, exactly solvable potential.
Received: 10.09.2010
Revised: 15.11.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 2, Pages 1105–1111
DOI: https://doi.org/10.1007/s11232-011-0091-1
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. Saikia, S. A. S. Ahmed, “Exact $S$-wave solution of the Schrödinger equation for three new potentials using the transformation method”, TMF, 168:2 (2011), 291–298; Theoret. and Math. Phys., 168:2 (2011), 1105–1111
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    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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