Oscillator Algebra in Complex Position-Dependent Mass Systems

2025/08/12 by Estrada-Delgado, M. I., Blanco-Garcia, Z.
#81Q12 #81Q80 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2508.09260

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.

Citations

• Isochronous oscillator with a singular position-dependent mass and its quantization
• PT-symmetric quantum mechanics

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