Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation
We give an upper bound for the high-energy behavior of the Lyapunov exponent of the one-dimensional Schrödinger equation. We relate this behavior to the differentiability properties of the potential. As an application, this result provides an upper bound for the asymptotic length of the gaps of the Schrödinger equation.
scientific article; zbMATH DE number 4021666