Existence and measure of ergodic leaves in Novikov's problem on the semiclassical motion of an electron

2000/05/31 by Roberto De Leo · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as Russian Math Surveys, 56(6), 1999 · 3 pages

arxiv created 2000/05/31 · arxiv updated 2009/11/30

Abstract

We show that ``ergodic regime'' appears for generic dispersion relations in the semiclassical motion of electrons in a metal and we prove that, in the fixed energy picture, the measure of the set of such directions is zero.

Cited by

• On the Novikov problem for dihedral symmetry potentials

Related

• Characterization of the set of "ergodic directions" in the Novikov's problem of quasi-electrons orbits in normal metals
• Semi-classical motion of dressed electrons
• Quasiperiodic functions and Dynamical Systems in Quantum Solid State Physics
• Quasiperiodic functions on the plane and electron transport phenomena
• Topology, Quasiperiodic functions and the Transport phenomena