The quantum effective mass Hamilton-Jacobi problem

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Yesiltas Ö.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.43, no.9, 2010 (SCI-Expanded) identifier identifier


In this paper, the quantum Hamilton-Jacobi theory based on the position-dependent mass model is studied. Two effective mass functions having different singularity structures are used to examine the Morse and Poschl-Teller potentials. The residue method is used to obtain the solutions of the quantum effective mass-Hamilton-Jacobi equation. Further, it is shown that the eigenstates of the generalized non-Hermitian Swanson Hamiltonian for Morse and Poschl-Teller potentials can be obtained by using the Riccati equation without solving a differential equation.