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On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz
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Date
2008-09-01
Author
IKHDAİR, SAMEER
Sever, Ramazan
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Making an ansatz to the wave function, the exact solutions of the D-dimensional radial Schrodinger equation with some molecular potentials, such as pseudoharmonic and modified Kratzer, are obtained. Restrictions on the parameters of the given potential, delta and nu are also given, where eta depends on a linear combination of the angular momentum quantum number l and the spatial dimensions D and delta is a parameter in the ansatz to the wave function. On inserting D = 3, we find that the bound state eigensolutions recover their standard analytical forms in literature.
Subject Keywords
optical character recognition
,
Diatomic molecules
,
Schrodinger equation
,
Anharmonic oscillator potential
,
Mie-type potential
,
Kratzer's potential
,
Pseudoharmonic potential
,
Bound states
URI
https://hdl.handle.net/11511/62579
Journal
CENTRAL EUROPEAN JOURNAL OF PHYSICS
DOI
https://doi.org/10.2478/s11534-008-0060-y
Collections
Department of Physics, Article
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Polynomial solutions of the Mie-type potential in the D-dimensional Schrodinger equation
IKHDAİR, SAMEER; Sever, Ramazan (2008-04-30)
The polynomial solution of the D-dimensional Schrodinger equation for a special case of Mie potential is obtained with an arbitrary l not equal 0 states. The exact bound state energies and their corresponding wave functions are calculated. The bound state (real) and positive (imaginary) cases are also investigated. In addition, we have simply obtained the results from the solution of the Coulomb potential by an appropriate transformation.
Exact solutions of the radial Schrodinger equation for some physical potentials
IKHDAİR, SAMEER; Sever, Ramazan (2007-12-01)
By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained. (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.
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S. IKHDAİR and R. Sever, “On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz,”
CENTRAL EUROPEAN JOURNAL OF PHYSICS
, pp. 697–703, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62579.