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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.12927 |
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| _version_ | 1866909227122950144 |
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| author | Khelashvili, Anzor Nadareishvili, Teimuraz |
| author_facet | Khelashvili, Anzor Nadareishvili, Teimuraz |
| contents | For a singular oscillator, the Schrodinger equation is obtained an equation of eigenvalues, and the dependence of energy on the self-adjoint extension parameter is established. It is shown that the self-adjoint extension violates the well-known property of equidistance of energy levels for the oscillatory potential, well-known in quantum mechanics. The concept of quantum defect is generally introduced, and the wave function of the problem is written as a single function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12927 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-adjoint extension procedure for a singular oscillator Khelashvili, Anzor Nadareishvili, Teimuraz Quantum Physics For a singular oscillator, the Schrodinger equation is obtained an equation of eigenvalues, and the dependence of energy on the self-adjoint extension parameter is established. It is shown that the self-adjoint extension violates the well-known property of equidistance of energy levels for the oscillatory potential, well-known in quantum mechanics. The concept of quantum defect is generally introduced, and the wave function of the problem is written as a single function. |
| title | Self-adjoint extension procedure for a singular oscillator |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.12927 |