Cumulant expansions of operator groups of quantum many-particle 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_ | 1866910080951123968 |
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| author | Gerasimenko, V. I. Gapyak, I. V. |
| author_facet | Gerasimenko, V. I. Gapyak, I. V. |
| contents | The article presents a method of cluster expansions for groups of operators associated with the von Neumann equations for states and the Heisenberg equations for observables, aiming to construct generating operators for nonperturbative solutions to the Cauchy problem for hierarchies of evolution equations of many-particle quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05036 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cumulant expansions of operator groups of quantum many-particle systems Gerasimenko, V. I. Gapyak, I. V. Mathematical Physics Statistical Mechanics Analysis of PDEs 82C05, 82C40, 35Q20, 46N55, 47J35 The article presents a method of cluster expansions for groups of operators associated with the von Neumann equations for states and the Heisenberg equations for observables, aiming to construct generating operators for nonperturbative solutions to the Cauchy problem for hierarchies of evolution equations of many-particle quantum systems. |
| title | Cumulant expansions of operator groups of quantum many-particle systems |
| topic | Mathematical Physics Statistical Mechanics Analysis of PDEs 82C05, 82C40, 35Q20, 46N55, 47J35 |
| url | https://arxiv.org/abs/2512.05036 |