Infinitesimal spectral flow and scattering matrix

Simple item page
dc.creatorAzamov, Nurulla
dc.date2007-05-23
dc.date2007-10-23
dc.date.accessioned2026-07-07T08:37:28Z
dc.date.available2026-07-07T08:37:28Z
dc.descriptionIn this note the notion of infinitesimal scattering matrix is introduced. It is shown that under certain assumption, the scattering operator of a pair of trace compatible operators is equal to the chronological exponential of the infinitesimal scattering matrix and that the trace of the infinitesimal scattering matrix is equal to the absolutely continuous part of the infinitesimal spectral flow. As a corollary, a variant of the Birman-Krein formula is derived. An interpretation of Pushnitski's $μ$-invariant is given.
dc.description12 pages, LaTeX; minor changes
dc.identifierhttps://arxiv.org/abs/0705.3282
dc.identifierhttp://arxiv.org/abs/0705.3282
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140412
dc.subjectSpectral Theory
dc.subject47A55; 47A11
dc.titleInfinitesimal spectral flow and scattering matrix
dc.typetext

Files

Collections

arXiv