Rotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissions

DOI10.1007/S00023-010-0045-4zbMath1208.81087OpenAlexW2120749821MaRDI QIDQ625730

Meirong Zhang, Zhe Zhou

Publication date: 25 February 2011

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-010-0045-4

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (3)

Semi-uniform sub-additive ergodic theorems for skew-product quasi-flows ⋮ Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices ⋮ Semi-uniform sub-additive ergodic theorems for discontinuous skew-product transformations

Cites Work

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• Resonance Pockets of Hill's Equations with Two-Step Potentials
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
• Rotation numbers for random dynamical systems on the circle
• Exponential growth of product of matrices in {\rm SL}(2,{\mathbb{R}})

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