On the derivation of a quantum Boltzmann equation from the periodic Von-Neumann equation

DOI10.1051/M2AN:1999119zbMath0954.82023OpenAlexW2117572933MaRDI QIDQ4261207

Francois Castella

Publication date: 4 June 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197395

zbMATH Keywords

asymptoticsFermi golden rulememory effectsquantum Boltzmann equationvon Neumann equationweak-coupling limittime-irreversibilitysemi-conductor Boltzmann equation

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) PDEs in connection with quantum mechanics (35Q40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (6)

Diffusion dynamics of classical systems driven by an oscillatory force ⋮ HIGH FREQUENCY BEHAVIOR OF THE MAXWELL–BLOCH MODEL WITH RELAXATION: CONVERGENCE TO THE SCHRÖDINGER-RATE SYSTEM ⋮ High frequency limit of the Helmholtz equations. ⋮ 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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