A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach

DOI10.5802/aif.2873zbMath1315.82015arXiv1107.0788OpenAlexW2324835232MaRDI QIDQ486786

Sébastien Breteaux

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0788

zbMATH Keywords

a priori estimatesquantum field theoryWeyl quantizationrandom potentialFock spacecoherent statesGaussian random fieldlinear Boltzmann equationprocesses in random environmentsrenewal of a random field

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Coherent states (81R30) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Processes in random environments (60K37) Random linear operators (47B80) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Boltzmann equations (35Q20)

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