A mixed-norm estimate of the two-particle reduced density matrix of many-body Schrödinger dynamics for deriving the Vlasov equation
DOI10.1007/s10955-023-03123-5zbMath1529.35508arXiv2205.04513OpenAlexW4379792820MaRDI QIDQ6175438
Jinyeop Lee, Li Chen, Matthew Liew, Yue Li
Publication date: 24 July 2023
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.04513
Schrödinger equationsemi-classical limitVlasov equationmean-field limitHusimi measurelarge fermionic system
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) PDEs with randomness, stochastic partial differential equations (35R60) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41) Fermionic systems in quantum theory (81V74)
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