Self-adjoint quantization of Stäckel integrable systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908935198343168 |
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| author | Kress, Jonathan M Matveev, Vladimir |
| author_facet | Kress, Jonathan M Matveev, Vladimir |
| contents | We show that quadratic Hamiltonians in involution coming from a Stäckel system are quantizable, in the sense that one can construct commutative self-adjoint operators whose symbols are the quadratic Hamiltonians. Moreover, they allow multiplicative separation of variables. This proves a conjecture explicitly formulated in [3]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-adjoint quantization of Stäckel integrable systems Kress, Jonathan M Matveev, Vladimir Differential Geometry Mathematical Physics 37J35, 70H06 We show that quadratic Hamiltonians in involution coming from a Stäckel system are quantizable, in the sense that one can construct commutative self-adjoint operators whose symbols are the quadratic Hamiltonians. Moreover, they allow multiplicative separation of variables. This proves a conjecture explicitly formulated in [3]. |
| title | Self-adjoint quantization of Stäckel integrable systems |
| topic | Differential Geometry Mathematical Physics 37J35, 70H06 |
| url | https://arxiv.org/abs/2501.18082 |