English

Nonsingular potentials from excited state factorization of a quantum system with position dependent mass

Quantum Physics 2015-05-30 v2 Mathematical Physics math.MP

Abstract

The modified factorization technique of a quantum system characterized by position-dependent mass Hamiltonian is presented. It has been shown that the singular superpotential defined in terms of a mass function and a excited state wave function of a given position-dependent mass Hamiltonian can be used to construct non-singular isospectral Hamiltonians. The method has been illustrated with the help of a few examples.

Keywords

Cite

@article{arxiv.1108.4095,
  title  = {Nonsingular potentials from excited state factorization of a quantum system with position dependent mass},
  author = {Bikashkali Midya},
  journal= {arXiv preprint arXiv:1108.4095},
  year   = {2015}
}

Comments

Improved version accepted in J. Phys. A

R2 v1 2026-06-21T18:53:08.107Z