Classical limit for semirelativistic Hartree systems

DOI10.1063/1.3000059zbMath1152.81307arXiv0810.5457OpenAlexW2094651672MaRDI QIDQ5505062

Christof Sparber, Gonca L. Aki, Peter Alexander Markowich

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5457

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (10)

Higher-order Schrödinger and Hartree–Fock equations ⋮ On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions ⋮ Propagation of Moments for Large Data and Semiclassical Limit to the Relativistic Vlasov Equation ⋮ Existence and nonlinear stability of stationary states for the semi-relativistic Schrödinger-Poisson system ⋮ Mean-field dynamics of fermions with relativistic dispersion ⋮ Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars ⋮ Ground state and bounded state solution for the nonlinear fractional Choquard-Schrödinger-Poisson system ⋮ Semi-classical limit of large fermionic systems at positive temperature ⋮ The Hartree and Vlasov equations at positive density ⋮ Semiclassical analysis for pseudo-relativistic Hartree equations

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