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Quasiperiodic functions and dynamical systems in quantum solid state physics

Quasiperiodic functions and dynamical systems in quantum solid state physics 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Quasiperiodic functions and dynamical systems in quantum solid state physics

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Sociedade Brasileira de Matemática
Subject
Mathematics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-003-0007-2
Publisher site
See Article on Publisher Site

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.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jan 1, 2003

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