Boltzmann distributed quantum steady states and their classical limit

DOI10.1515/form.1994.6.1zbMath0788.35110OpenAlexW2058883313MaRDI QIDQ4276470

Peter Alexander Markowich

Publication date: 6 June 1994

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141723

zbMATH Keywords

existenceuniquenessCoulomb potentialBoltzmann distributionquantum statesMaxwellian equilibrium solution of the Vlasov-Poisson problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

On a Vlasov–Schrödinger–Poisson Model ⋮ Thermal effects in gravitational Hartree systems ⋮ Quantum BGK modes for the Wigner-poisson system ⋮ Derivation and classical limit of the mean-field equation for a quantum Coulomb system: Maxwell-Boltzmann statistics ⋮ On asymmetric quasiperiodic solutions of Hartree-Fock systems

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