Lyapunov exponent and density of states of a one-dimensional non-Hermitian Schrödinger equation

DOI10.1023/A:1018666620368zbMath0984.37096arXivcond-mat/9906235OpenAlexW3011922073MaRDI QIDQ1976737

Reuven Zeitak, Jesper Lykke Jacobsen, Bernard Derrida

Publication date: 13 November 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9906235

zbMATH Keywords

density of statesLyapunov exponentnon-Hermitian Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (4)

Novel computation of the growth rate of generalized random Fibonacci sequences ⋮ Computation of growth rates of random sequences with multi-step memory ⋮ Counting the exponents of single transfer matrices ⋮ The Thouless formula for random non-Hermitian Jacobi matrices

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