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Abstract: In this article, the quantum Hamilton- Jacobi theory based on the positiondependent mass model is studied. Two effective mass functions having differentsingularity structures are used to examine the Morse and Poschl- Tellerpotentials. The residue method is used to obtain the solutions of the quantumeffective mass- Hamilton Jacobi equation. Further, it is shown that theeigenstates of the generalized non-Hermitian Swanson Hamiltonian for Morse andPoschl-Teller potentials can be obtained by using the Riccati equation withoutsolving a differential equation.



Autor: Ozlem Yesiltas

Fuente: https://arxiv.org/







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