Asymptotics of the density matrix for a system of a large number of identical particles.

DOI10.1007/BF02675012zbMath1156.81391OpenAlexW2061058396MaRDI QIDQ1966212

V. P. Maslov, Oleg Yu. Shvedov

Publication date: 28 February 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02675012

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

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• Models of Gross-Neveu type are quantization of a classical mechanics with nonlinear phase space
• An asymptotic formula for the \(N\)-particle density function as \(N\to \infty\) and a violation of the chaos hypothesis
• Asymptotic solutions to the Wigner equation for systems of a large number of particles
• The complex germ method in Fock space. I: Wave packet type asymptotics
• Complex germ method in Fock space. II: Asymptotic solutions corresponding to finite-dimensional isotropic manifolds

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