From many-body quantum dynamics to the Hartree-Fock and Vlasov equations with singular potentials

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Vlasov equations (35Q83) Time-dependent Schrödinger equations and Dirac equations (35Q41) Fermionic systems in quantum theory (81V74)

Cites Work

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