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Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation

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Publication:1093075
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DOI10.1007/BF01033075zbMath0628.34052MaRDI QIDQ1093075

François Delyon, Patrick Foulon

Publication date: 1986

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


zbMATH Keywords

potentialLyapunov exponentone-dimensional Schrödinger equationhigh-energy behavior


Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)


Related Items

Almost periodicity of some random potentials ⋮ Adiabatic theory, Liapunov exponents, and rotation number for quadratic Hamiltonians ⋮ On diffusion equations for dynamical systems driven by noise ⋮ Classical wave methods and modern gauge transforms: spectral asymptotics in the one dimensional case ⋮ Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies ⋮ Unnamed Item



Cites Work

  • The asymptotics of the gap in the Mathieu equation
  • Spectrum and continuum eigenfunctions of Schrödinger operators
  • Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
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