Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter

DOI10.1070/RM9859zbMath1439.37062arXiv1811.08160OpenAlexW3104518942MaRDI QIDQ5220202

S. P. Novikov, Andrei Ya. Maltsev

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08160

zbMATH Keywords

quasi-periodic functionselectron systemstransport phenomenaNovikov problemgeometry of level curves

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Quantum chaos (81Q50) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Transport processes in time-dependent statistical mechanics (82C70) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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