EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS

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2009-03-01

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IKHDAİR, SAMEER
Sever, Ramazan

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The point canonical transformation (PCT) approach is used to solve the Schrodinger equation for an arbitrary dimension D with a power-law position-dependent effective mass (PDEM) distribution function for the pseudoharmonic and modified Kratzer (Mie-type) diatomic molecular potentials. In mapping the transformed exactly solvable D-dimensional (D >= 2) Schrodinger equation with constant mass into the effective mass equation by using a proper transformation, the exact bound state solutions including the energy eigenvalues and corresponding wave functions are derived. The well-known pseudoharmonic and modified Kratzer exact eigenstates of various dimensionality is manifested.

Subject Keywords

Mathematical Physics, Computational Theory and Mathematics, General Physics and Astronomy, Statistical and Nonlinear Physics, Computer Science Applications

URI

https://hdl.handle.net/11511/62637

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS C

DOI

https://doi.org/10.1142/s0129183109013674

Collections

Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “EXACTLY SOLVABLE EFFECTIVE MASS D-DIMENSIONAL SCHRODINGER EQUATION FOR PSEUDOHARMONIC AND MODIFIED KRATZER PROBLEMS,” INTERNATIONAL JOURNAL OF MODERN PHYSICS C, pp. 361–372, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62637.