Oscillator Algebra in Complex Position-Dependent Mass Systems

• URL: http://arxiv.org/abs/2508.09260v1
• Date: Tue, 12 Aug 2025 18:03:16 GMT
• Title: Oscillator Algebra in Complex Position-Dependent Mass Systems
• Authors: M. I. Estrada-Delgado, Z. Blanco-Garcia,
• Abstract summary: We introduce non-Hermitian position-dependent mass Hamiltonians characterized by complex ladder operators and real, equidistant spectra.<n>We derive the corresponding potentials, ladder operators, and eigenfunctions.<n>Specific cases are illustrated for quadratic, cosenoidal, and exponential mass functions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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