Quantum transport in a low-density periodic potential: homogenisation via homogeneous flows

DOI10.2140/paa.2019.1.571zbMath1433.82011arXiv1805.06860OpenAlexW3101329069WikidataQ127083117 ScholiaQ127083117MaRDI QIDQ2278822

Jens Marklof, Jory Griffin

Publication date: 11 December 2019

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06860

zbMATH Keywords

theta functionsquantum transporthomogeneous dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Related Items (2)

Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configuration ⋮ Quantum transport in a crystal with short-range interactions: the Boltzmann-Grad limit

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