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arXiv · 0810.1159

Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems

Sameer M. Ikhdair·Ramazan Sever
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Abstract

We employ the point canonical transformation (PCT) to solve the D-dimensional Schrödinger equation with position-dependent effective mass (PDEM) function for two molecular pseudoharmonic and modified Kratzer (Mie-type) potentials. In mapping the transformed exactly solvable D-dimensional ($D\geq 2$) Schrödinger equation with constant mass into the effective mass equation by employing 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.

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Sameer M. Ikhdair, Ramazan Sever. 2008-10-07. Exactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems. https://doi.org/10.1142/s0129183109013674

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