Oscillator Algebra in Complex Position-Dependent Mass Systems
Mathematical Physics
2025-08-14 v1 math.MP
Quantum Physics
Abstract
This work introduces non-Hermitian position-dependent mass Hamiltonians characterized by complex ladder operators and real, equidistant spectra. By imposing the Heisenberg-Weyl algebraic structure as a constraint, we derive the corresponding potentials, ladder operators, and eigenfunctions. The method provides a systematic procedure for constructing exactly solvable models for arbitrary mass profiles. Specific cases are illustrated for quadratic, cosenoidal, and exponential mass functions.
Keywords
Cite
@article{arxiv.2508.09260,
title = {Oscillator Algebra in Complex Position-Dependent Mass Systems},
author = {M. I. Estrada-Delgado and Z. Blanco-Garcia},
journal= {arXiv preprint arXiv:2508.09260},
year = {2025}
}