| Numéro |
J. Phys. Colloques
Volume 50, Numéro C3, Mars 1989
5th Interdisciplinary Workshop Nonlinear Coherent Structures in Physics, Mechanics and Biological Systems
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|---|---|---|
| Page(s) | C3-53 - C3-57 | |
| DOI | https://doi.org/10.1051/jphyscol:1989307 | |
5th Interdisciplinary Workshop Nonlinear Coherent Structures in Physics, Mechanics and Biological Systems
J. Phys. Colloques 50 (1989) C3-53-C3-57
DOI: 10.1051/jphyscol:1989307
1 MIDIT, The Technical University of Denmark, DK-2800 Lyngby, Denmark
2 Dipartimento di Fisica, Universitá di Perugia, I-06100 Perugia, Italy
3 Dipartimento di Fisica, Universitá di Napoli, I-80100 Napoli, Italy
J. Phys. Colloques 50 (1989) C3-53-C3-57
DOI: 10.1051/jphyscol:1989307
CLASSICAL DIFFUSION IN SOFT POTENTIALS AND SUPERSYMMETRIC QUANTUM MECHANICS
F. MARCHESONI1, 2, P. SODANO1, 2, P. BICCHERI2, C. PRESILLA2 et M. ZANNETTI31 MIDIT, The Technical University of Denmark, DK-2800 Lyngby, Denmark
2 Dipartimento di Fisica, Universitá di Perugia, I-06100 Perugia, Italy
3 Dipartimento di Fisica, Universitá di Napoli, I-80100 Napoli, Italy
Résumé
Nous analysons l'emploi de la supersymétrie de la mécanique quantique pour la diffusion classique d'un particule brownienne dans des potentiels faiblement liés. En particulier, nos calculs numériques ont permis la détermination analytique précise de la forme du mode de fréquence d'un "kink" statique de l'équations de sine-Gordon double.
Abstract
We review the use of supersymmetric quantum mechanics in the analysis of the classical diffusion of a brownian particle in weakly binding (soft) potentials. In particular, our computations are shown to provide an accurate analytical determination of the shape-mode frequency of the static double sine-Gordon kink.