1996

The Level Splitting Distribution in Chaos-assisted Tunneling

F. Leyvraz 1, D. Ullmo 1, 2 Journal of Physics A 29 (1996) 2529-2551 A compound tunneling mechanism from one integrable region to another mediated by a delocalized state in an intermediate chaotic region of phase space was recently introduced to explain peculiar features of tunneling in certain two-dimensional systems. This mechanism is known as chaos-assisted tunneling. We study its …

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Sample-size dependence of the ground-state energy in a one-dimensional localization problem

C. Monthus 1, G. Oshanin 2, A. Comtet 2, 3, S. F. Burlatsky 4 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 54 (1996) 231 We study the sample-size dependence of the ground-state energy in a one-dimensional localization problem, based on a supersymmetric quantum mechanical Hamiltonian with random Gaussian potential. We determine, in the form of bounds, the precise form of this dependence …

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