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Register a new userExactly solvable effective mass D-dimensional Schrodinger equation for pseudoharmonic and modified Kratzer problems
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We employ the point canonical transformation (PCT) to solve the D-dimensional Schr{o}dinger 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 ($Dgeq 2$) Schr{o}dinger 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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