Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron

DOI10.1007/BF01208544zbMath0808.58014OpenAlexW2088542498WikidataQ123247863 ScholiaQ123247863MaRDI QIDQ1326893

Ivan A. Dynnikov

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01208544

zbMATH Keywords

electronMorse formquasi-periodic manifoldS. P. Novikov conjecture

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Applications of manifolds of mappings to the sciences (58D30) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35)

Related Items (7)

Minimality of interval exchange transformations with restrictions ⋮ The semiclassical electron in a magnetic field and lattice. Some problems of low dimensional ``periodic topology ⋮ Arnoux-Rauzy interval exchanges ⋮ Quasiperiodic functions theory and the superlattice potentials for a two-dimensional electron gas ⋮ Symmetric band complexes of thin type and chaotic sections which are not quite chaotic ⋮ The theory of closed 1-forms, levels of quasiperiodic functions and transport phenomena in electron systems ⋮ Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter

Cites Work

• Proof of S.P. Novikov's conjecture for the case of small perturbations of rational magnetic fields
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