Quasiperiodic functions and Dynamical Systems in Quantum Solid State Physics

2003/01/31 by A. Ya. Maltsev, S. P. Novikov
Physics and Astronomy · Mathematics · #math-ph #cond-mat #math.MP

paper · pdf

published as Bulletin of Braz. Math. Society, New Series 34 (1), 171-210 (2003). · 45 pages, 14 Encapsulated Postscript figures

arxiv created 2003/08/10 · arxiv updated 2009/11/30

Abstract

This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are based on the theory of dynamical systems on Fermi surfaces. The physical foundations of this theory (the so-called "Geometric Strong Magnetic Field Limit") were found by the school of I.M.Lifshitz many years ago. Here the new aspects in the topology of quasiperiodic functions are developed.

Related

• Topology, Quasiperiodic functions and the Transport phenomena
• Quasiperiodic functions on the plane and electron transport phenomena
• The Levels of Quasiperiodic Functions on the plane, Hamiltonian Systems and Topology
• 1.Classical and Modern Topology. 2.Topological Phenomena in Real World Physics
• Geometry of quasiperiodic functions on the plane