Data di Pubblicazione:
2023
Citazione:
Two Comments on the Derivation of the Time-Dependent Hartree-Fock Equation / N. Benedikter, D. Desio (SPRINGER INDAM SERIES). - In: Quantum Mathematics I / [a cura di] Michele Correggi, Marco Falconi. - [s.l] : Springer, 2023 Dec 01. - ISBN 978-981-99-5893-1. - pp. 319-333 (( convegno INdAM Meeting: Quantum Mathematics Workshop tenutosi a Milano nel 2022 [10.1007/978-981-99-5894-8_13].
Abstract:
We revisit the derivation of the time-dependent Hartree-Fock equation for interacting fermions in a regime coupling a mean-field and a semiclassical scaling, contributing two comments to the result obtained in 2014 by Benedikter, Porta, and Schlein. First, the derivation holds in arbitrary space dimension. Second, by using an explicit formula for the unitary implementation of particle-hole transformations, we cast the proof in a form similar to the coherent state method of Rodnianski and Schlein for bosons.
Tipologia IRIS:
03 - Contributo in volume
Keywords:
Mathematical Physics; Mathematical Physics; Mathematics - Mathematical Physics; 81V70, 82B10, 81Q10, 35P05
Elenco autori:
N. Benedikter, D. Desio
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Link al Full Text:
Titolo del libro:
Quantum Mathematics I