The Quantum Effective Mass Hamilton-Jacobi Problem
Mathematical Physics
2015-05-18 v1 math.MP
Quantum Physics
Abstract
In this article, 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.
Keywords
Cite
@article{arxiv.1002.3647,
title = {The Quantum Effective Mass Hamilton-Jacobi Problem},
author = {Ozlem Yesiltas},
journal= {arXiv preprint arXiv:1002.3647},
year = {2015}
}