Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials |
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Authors: | Metin Aktaş Ramazan Sever |
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Institution: | (1) Department of Physics, Faculty of Arts and Sciences, Kırıkkale University, 71450 Kırıkkale, Turkey;(2) Department of Physics, Middle East Technical University, 06531 Ankara, Turkey |
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Abstract: | We deal with the exact solutions of Schr?dinger equation characterized by position-dependent effective mass via point canonical
transformations. The Morse, P?schl-Teller, and Hulthén 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.
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Keywords: | position-dependent mass point canonical transformation effective mass schr?dinger equation morse potential p?schl-teller potential hulthén potential |
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