publications

Localization Properties in One Dimensional Disordered Supersymmetric Quantum Mechanics

A. Comtet 1, J. Desbois 1, C. Monthus 1 Annals of Physics 239 (1995) 312-350 A model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered. The case where the superpotential $\\phi(x)$ is a random telegraph process is solved exactly. Both the localization length and the density of states are obtained analytically. A detailed study of the […]

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Diffusive transport in a one-dimensional disordered potential involving correlations

Cecile Monthus 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 52 (1995) 2569-2573 This article deals with transport properties of one dimensional Brownian diffusion under the influence of a correlated quenched random force, distributed as a two-level Poisson process. We find in particular that large time scaling laws of the position of the Brownian particle

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Diffractive orbits in quantum billiards

Nicolas Pavloff 1, Charles Schmit 1 Physical Review Letters 75 (1995) 61-64 We study diffractive effects in two dimensional polygonal billiards. We derive an analytical trace formula accounting for the role of non-classical diffractive orbits in the quantum spectrum. As an illustration the method is applied to a triangular billiard. 1. Division de Physique Théorique, IPN, Université Paris XI

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Comment on \’ Thermodynamics of a One- Dimensional Ideal Gas with fractional Exclusion Statistics \’

Alain Dasnieres De Veigy 1, Stéphane Ouvry 1 Physical Review Letters 75 (1995) 352 In a recent letter -Phys. Rev. Lett. 73, 3331 (1995)-, the conclusion was reached that, in the one-dimensional Calogero model, only the second virial coefficient is affected by the statistical parameter $\\alpha$, where $\\alpha$ is related to the coupling constant $\\kappa/ x_{ij}^2$ of the Calogero

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