On solutions of the Schrodinger equation for some molecular potentials: wave function ansatz

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

Collections

Department of Physics, Article