Propagators of singular anharmonic oscillators with quasi-equidistant spectra
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918255007891456 |
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| author | Pupasov-Maksimov, Andrey M. Oliveira, Marcelo Silva |
| author_facet | Pupasov-Maksimov, Andrey M. Oliveira, Marcelo Silva |
| contents | Darboux transformations of the singular harmonic oscillator are considered. Analytical expressions for the propagators are obtained, using the image method applied to formal singular propagators. Two-well and three-well families of potentials and the corresponding propagators are presented. Axially symmetric magnetic field configurations corresponding to these potentials have been identified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Propagators of singular anharmonic oscillators with quasi-equidistant spectra Pupasov-Maksimov, Andrey M. Oliveira, Marcelo Silva Quantum Physics Mathematical Physics Darboux transformations of the singular harmonic oscillator are considered. Analytical expressions for the propagators are obtained, using the image method applied to formal singular propagators. Two-well and three-well families of potentials and the corresponding propagators are presented. Axially symmetric magnetic field configurations corresponding to these potentials have been identified. |
| title | Propagators of singular anharmonic oscillators with quasi-equidistant spectra |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2512.16695 |