Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians

DOI10.1007/BF01009359zbMath0965.37506OpenAlexW2091730037MaRDI QIDQ1907329

François Delyon, Patrick Foulon

Publication date: 21 February 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01009359

zbMATH Keywords

integrated density of statesLyapunov exponentsSchrödinger equationlocalizationadiabatic invariantsrandom potentials

Mathematics Subject Classification ID

Hamilton's equations (70H05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation
• Discrete and continuous boundary problems
• Quantal phase factors accompanying adiabatic changes

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