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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
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M. Aktas and R. Sever, “Effective mass Schrodinger equation for exactly solvable class of one-dimensional potentials,”
JOURNAL OF MATHEMATICAL CHEMISTRY
, pp. 92–100, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62674.