ORBITALLY STABLE STATES IN GENERALIZED HARTREE–FOCK THEORY

DOI10.1142/S0218202509003450zbMath1171.35454OpenAlexW2044231951MaRDI QIDQ3622693

Jean Dolbeault, Patricio L. Felmer, Mathieu Lewin

Publication date: 28 April 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202509003450

zbMATH Keywords

entropySchrödinger operatorfree energytemperaturenonlinear equationorbital stabilityasymptotic distribution of eigenvaluesloss of compactnessoccupation numbersmixed statesHartree-Fock modeltrace-class operatorsLieb-Thirring inequalityself-consistent potentialcompact self-adjoint operators

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (4)

Thermal effects in gravitational Hartree systems ⋮ Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation ⋮ Rate of convergence towards the Hartree-von Neumann limit in the mean-field regime ⋮ Global existence versus finite time blowup dichotomy for the system of nonlinear Schrödinger equations

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