THE LINEAR BOLTZMANN EQUATION AS THE LOW DENSITY LIMIT OF A RANDOM SCHRÖDINGER EQUATION

DOI10.1142/S0129055X0500242XzbMath1085.82012arXivmath-ph/0412044OpenAlexW3104313226MaRDI QIDQ5711053

László Erdős, David Eng

Publication date: 9 December 2005

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0412044

zbMATH Keywords

Anderson modelLorentz gasscattering cross-sectionBoltzmann-Grad limitHusimi functionquantum Boltzmann equationBoltzman-Grad low density limitlinear Boltzman equation

Mathematics Subject Classification ID

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) PDEs with randomness, stochastic partial differential equations (35R60) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

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