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Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation
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Date
2007-10-01
Author
Tezcan, Cevdet
Sever, Ramazan
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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.
Subject Keywords
Position-dependent mass
,
Point canonical transformation
,
Effective mass Schrodinger equation
,
Rosen-Morse potential
,
Scarf potential
URI
https://hdl.handle.net/11511/62543
Journal
JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
https://doi.org/10.1007/s10910-006-9109-6
Collections
Department of Physics, Article
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C. Tezcan and R. Sever, “Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 387–395, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62543.