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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/2401.17476 |
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| _version_ | 1866929230053376000 |
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| author | Losev, Andrey Sulimov, Tim |
| author_facet | Losev, Andrey Sulimov, Tim |
| contents | We reformulate the time-independent Schrödinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so that its cohomology becomes the space of solutions with a set energy. A perturbation of the Hamiltonian corresponds to a deformation of the twisted differential, leading to a simple recursive relation for the eigenvalue and eigenfunction corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maurer-Cartan methods in perturbative quantum mechanics Losev, Andrey Sulimov, Tim Mathematical Physics We reformulate the time-independent Schrödinger equation as a Maurer-Cartan equation on the superspace of eigensystems of the former equation. We then twist the differential so that its cohomology becomes the space of solutions with a set energy. A perturbation of the Hamiltonian corresponds to a deformation of the twisted differential, leading to a simple recursive relation for the eigenvalue and eigenfunction corrections. |
| title | Maurer-Cartan methods in perturbative quantum mechanics |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2401.17476 |