Chaotic scattering with direct processes: A generalization of Poisson's kernel for non-unitary scattering matrices

Simple item page
dc.creatorGopar, V. A.
dc.creatorMartinez-Mares, M.
dc.creatorMendez-Sanchez, R. A.
dc.date2007-09-27
dc.date2008-04-17
dc.date.accessioned2026-07-07T09:32:49Z
dc.date.available2026-07-07T09:32:49Z
dc.descriptionThe problem of chaotic scattering in presence of direct processes or prompt responses is mapped via a transformation to the case of scattering in absence of such processes for non-unitary scattering matrices, \tilde S. In the absence of prompt responses, \tilde S is uniformly distributed according to its invariant measure in the space of \tilde S matrices with zero average, < \tilde S > =0. In the presence of direct processes, the distribution of \tilde S is non-uniform and it is characterized by the average < \tilde S > (\neq 0). In contrast to the case of unitary matrices S, where the invariant measures of S for chaotic scattering with and without direct processes are related through the well known Poisson kernel, here we show that for non-unitary scattering matrices the invariant measures are related by the Poisson kernel squared. Our results are relevant to situations where flux conservation is not satisfied. For example, transport experiments in chaotic systems, where gains or losses are present, like microwave chaotic cavities or graphs, and acoustic or elastic resonators.
dc.descriptionAdded two appendices and references. Corrected typos
dc.identifierhttps://arxiv.org/abs/0709.4321
dc.identifierhttp://arxiv.org/abs/0709.4321
dc.identifierJ. Phys. A: Math. Theor. 41, 015103 (2008)
dc.identifierdoi:10.1088/1751-8113/41/1/015103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158916
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleChaotic scattering with direct processes: A generalization of Poisson's kernel for non-unitary scattering matrices
dc.typetext

Files

Collections

arXiv