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A parametric approach to supersymmetric quantum mechanics in the solution of Schrodinger equation
Date
2014-03-01
Author
TEZCAN, CEVDET
Sever, Ramazan
Metadata
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We study exact solutions of the Schrodinger equation for some potentials. We introduce a parametric approach to supersymmetric quantum mechanics to calculate energy eigenvalues and corresponding wave functions exactly. As an application we solve Schrodinger equation for the generalized Morse potential, modified Hulthen potential, deformed Rosen-Morse potential and Poschl-Teller potential. The method is simple and effective to get the results. (C) 2014 AIP Publishing LLC.
Subject Keywords
Position
,
Wave-function
,
Harmonic-oscillator
,
Perturbative treatment
,
l-state solutions
,
dependent effective-mass
,
Exactly solvable potentials
,
Nonzero minimal uncertainties
URI
https://hdl.handle.net/11511/62479
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.4866979
Collections
Department of Physics, Article
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Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly. The asymptotic form of the equation is also considered. Algebraic method is used in the calculations.
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C. TEZCAN and R. Sever, “A parametric approach to supersymmetric quantum mechanics in the solution of Schrodinger equation,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62479.