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The scattering matrix and the differences of spectral projections
Author(s) -
Pushnitski Alexander
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn002
Subject(s) - mathematics , scattering , spectrum (functional analysis) , connection (principal bundle) , matrix (chemical analysis) , scattering theory , point (geometry) , mathematical analysis , physics , geometry , quantum mechanics , chemistry , chromatography
In the scattering theory framework, we point out a connection between the spectrum of the scattering matrix of two operators and the spectrum of the difference of spectral projections of these operators.