A position dependent mass Hamiltonian and abstract ladder operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866914526303092736 |
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| author | Bagarello, Fabio Balistreri, Emanuele Faddetta, Antonino |
| author_facet | Bagarello, Fabio Balistreri, Emanuele Faddetta, Antonino |
| contents | We consider the Hamiltonian $H$ of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called {\em abstract ladder operators}, in the attempt to find its eigenvalues and eigenvectors. We don't assume that $H$ is self-adjoint, while we focus on the case of a factorizable operator. We show then that pseudo-bosonic operators play a relevant role in this analysis, and we construct bi-coherent states attached to these operators. Explicit examples are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01443 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A position dependent mass Hamiltonian and abstract ladder operators Bagarello, Fabio Balistreri, Emanuele Faddetta, Antonino Mathematical Physics Quantum Physics We consider the Hamiltonian $H$ of a particle in one dimension with a position dependent mass for which we apply the recent strategy of the so-called {\em abstract ladder operators}, in the attempt to find its eigenvalues and eigenvectors. We don't assume that $H$ is self-adjoint, while we focus on the case of a factorizable operator. We show then that pseudo-bosonic operators play a relevant role in this analysis, and we construct bi-coherent states attached to these operators. Explicit examples are discussed. |
| title | A position dependent mass Hamiltonian and abstract ladder operators |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2605.01443 |