Enhanced stability in quantum optimal transport pseudometrics: from Hartree to Vlasov-Poisson

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Vlasov equations (35Q83) Optimal transportation (49Q22)

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