Non-derivation of the quantum Boltzmann equation from the periodic Von Neumann Equation

DOI10.1512/iumj.2002.51.2266zbMath1080.82014OpenAlexW2080408826MaRDI QIDQ4431119

Alain Plagne, Francois Castella

Publication date: 13 October 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cf980299cc6309f0c5fb8e4b0a8fe2ddf37e95db

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Miscellaneous applications of number theory (11Z05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime ⋮ HIGH FREQUENCY BEHAVIOR OF THE MAXWELL–BLOCH MODEL WITH RELAXATION: CONVERGENCE TO THE SCHRÖDINGER-RATE SYSTEM ⋮ FROM BLOCH MODEL TO THE RATE EQUATIONS II: THE CASE OF ALMOST DEGENERATE ENERGY LEVELS ⋮ Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit

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