Effective mass Schrodinger equation for exactly solvable class of one-dimensional potentials

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Date

2008-01-01

Author

Aktas, Metin
Sever, Ramazan

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We deal with the exact solutions of Schrodinger equation characterized by position-dependent effective mass via point canonical transformations. The Morse, Poschl-Teller, and Hulthen type potentials are considered, respectively. With the choice of position-dependent mass forms, exactly solvable target potentials are constructed. Their energy of the bound states and corresponding wavefunctions are determined exactly.

Subject Keywords

Hulthen potential, Poschl-Teller potential, Morse potential, Effective mass Schrodinger equation, Point canonical transformation, Position-dependent mass

URI

https://hdl.handle.net/11511/62674

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-006-9181-y

Collections

Department of Physics, Article

Citation Formats

M. Aktas and R. Sever, “Effective mass Schrodinger equation for exactly solvable class of one-dimensional potentials,” JOURNAL OF MATHEMATICAL CHEMISTRY, vol. 43, no. 1, pp. 92–100, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62674.