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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 79–86
DOI: https://doi.org/10.4213/tmf6884 (Mi tmf6884) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A map between the Coulomb and the harmonic oscillator systems in a higher-dimensional space

N. Saikia, S. A. S. Ahmed

Department of Physics, Guahati University, Guwahati, India
Full-text PDF (300 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6884
Abstract: We present an extended transformation method for mapping between higher-dimensional spaces. We report solutions of the Schrödinger equation for the Green's function in the form of bound states and scattering states. We discuss the normalizability of the bound-state solution of a generated exactly solvable potential.
Keywords: extended transformation, Schrödinger Green's function equation, exactly solvable potential.
Received: 30.12.2010
Revised: 15.03.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 490–496
DOI: https://doi.org/10.1007/s11232-012-0047-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. Saikia, S. A. S. Ahmed, “A map between the Coulomb and the harmonic oscillator systems in a higher-dimensional space”, TMF, 171:1 (2012), 79–86; Theoret. and Math. Phys., 171:1 (2012), 490–496
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6884
  • https://doi.org/10.4213/tmf6884
  • https://www.mathnet.ru/eng/tmf/v171/i1/p79
    • This publication is cited in the following 2 articles:
    1. Bhagawati N., Singh N.N., “Exact S-Wave Solution of Schrodinger Equation Generated From Generalized Hulthen Potential”, Indian J. Phys., 88:10 (2014), 1081–1085  crossref  adsnasa  isi
    2. Bhagawati N., “Exact Solution of D-Dimensional Schrodinger Equation Generated From Certain Central Power-Law Potentials”, Cent. Eur. J. Phys., 12:4 (2014), 256–265  crossref  isi
    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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    References:47
    First page:14
     
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