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nlin.CD2000★ 40 cited
Quantum Graphs: A model for Quantum Chaos
Tsampikos Kottos, Holger Schanz
We study the statistical properties of the scattering matrix associated with generic quantum graphs. The scattering matrix is the quantum analogue of the classical evolution operat…
nlin.CD2000★ 47 cited
Parametric dependent Hamiltonians, wavefunctions, random-matrix-theory, and quantal-classical correspondence
Doron Cohen, Tsampikos Kottos
We study a classically chaotic system which is described by a Hamiltonian where are the canonical coordinates of a particle in a 2D well, and is a parameter.…