From the von Neumann equation to the quantum Boltzmann equation. II: Identifying the Born series

DOI10.1023/A:1014098122698zbMath1002.82017OpenAlexW2166848949MaRDI QIDQ1600064

Francois Castella

Publication date: 11 June 2002

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

Full work available at URL: https://doi.org/10.1023/a:1014098122698

zbMATH Keywords

density matrixlow density limittime-dependent scattering theory

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (9)

Some considerations on the derivation of the nonlinear quantum Boltzmann equation. II: The low density regime ⋮ Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configuration ⋮ Large time dynamics of a classical system subject to a fast varying force ⋮ From the \(N\)-body Schrödinger equation to the quantum Boltzmann equation: a term-by-term convergence result in the weak coupling 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 ⋮ ON THE WEAK-COUPLING LIMIT FOR BOSONS AND FERMIONS ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit

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