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Exact solution of effective mass Schrodinger equation for the Hulthen potential
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Date
2008-09-01
Author
Sever, Ramazan
TEZCAN, CEVDET
Yesiltas, Oezlem
Bucurgat, Mahmut
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A general form of the effective mass Schrodinger equation is solved exactly for Hulthen potential. Nikiforov-Uvarov method is used to obtain energy eigenvalues and the corresponding wave functions. A free parameter is used in the transformation of the wave function.
Subject Keywords
Position-dependent mass
,
Effective mass schrodinger equation
,
Hulthen potential
,
Nikiforov-Uvarov method
URI
https://hdl.handle.net/11511/62948
Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
DOI
https://doi.org/10.1007/s10773-008-9656-7
Collections
Department of Physics, Article
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A new approach to the exact solutions of the effective mass Schrodinger equation
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Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation
Tezcan, Cevdet; Sever, Ramazan (2007-10-01)
Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
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R. Sever, C. TEZCAN, O. Yesiltas, and M. Bucurgat, “Exact solution of effective mass Schrodinger equation for the Hulthen potential,”
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
, pp. 2243–2248, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62948.