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Showing 2007 · math-phShow all
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math-ph2007★ 11 cited
The Non-Trapping Degree of Scattering
Andreas Knauf, Markus Krapf
We consider classical potential scattering. If no orbit is trapped at energy E, the Hamiltonian dynamics defines an integer-valued topological degree. This can be calculated explic…
math-ph2007★ 11 cited
Scaling diagram for the localization length at a band edge
Christian Sadel, Hermann Schulz-Baldes
A weak-coupling scaling diagram for the Lyapunov exponent and the integrated density of states near a band edge of a random Jacobi matrix is obtained. The analysis is based on the…