Exact solutions of the schrodinger equation with position-dependent effective mass via general point canonical transformation

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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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Citation Formats

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.