Effective quantum dynamics for magnetic fermions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916409281347584 |
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| author | Ferrero, Margherita Monaco, Domenico |
| author_facet | Ferrero, Margherita Monaco, Domenico |
| contents | We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field. The derivation invokes the Dirac-Frenkel principle. We discuss the validity of this effective description with respect to the many-body Schrödinger dynamics for small times and for weak interactions, and also in regards to the number of particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective quantum dynamics for magnetic fermions Ferrero, Margherita Monaco, Domenico Mathematical Physics 35Q55, 81Q10, 81V70 We show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field. The derivation invokes the Dirac-Frenkel principle. We discuss the validity of this effective description with respect to the many-body Schrödinger dynamics for small times and for weak interactions, and also in regards to the number of particles. |
| title | Effective quantum dynamics for magnetic fermions |
| topic | Mathematical Physics 35Q55, 81Q10, 81V70 |
| url | https://arxiv.org/abs/2406.15041 |