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arXiv · 2508.09260

Oscillator Algebra in Complex Position-Dependent Mass Systems

M. I. Estrada-Delgado·Z. Blanco-Garcia
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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.

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BibTeXRIS

M. I. Estrada-Delgado, Z. Blanco-Garcia. 2025-08-12. Oscillator Algebra in Complex Position-Dependent Mass Systems. https://arxiv.org/abs/2508.09260

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