Oscillator Algebra in Complex Position-Dependent Mass Systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909735420166144 |
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| author | Estrada-Delgado, M. I. Blanco-Garcia, Z. |
| author_facet | Estrada-Delgado, M. I. Blanco-Garcia, Z. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oscillator Algebra in Complex Position-Dependent Mass Systems Estrada-Delgado, M. I. Blanco-Garcia, Z. Mathematical Physics Quantum Physics 81Q12, 81Q80 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. |
| title | Oscillator Algebra in Complex Position-Dependent Mass Systems |
| topic | Mathematical Physics Quantum Physics 81Q12, 81Q80 |
| url | https://arxiv.org/abs/2508.09260 |