Local existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics

DOI10.1016/J.JMAA.2024.128688MaRDI QIDQ6615991

Wouter Scharpach, Mark A. Peletier, Carlo Mercuri, Björn Baumeier, G. Prokert, Onur Çaylak

Publication date: 8 October 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

semigroup theorynonlinear evolution equationsmixed quantum-classical dynamicslocal density approximationtime-dependent nonlinear Schrödinger equationstime-dependent Kohn-Sham equations

Mathematics Subject Classification ID

Nuclear physics (81V35) One-parameter semigroups and linear evolution equations (47D06) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Computational density functional analysis in statistical mechanics (82M36)

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