Theory of Simple Scattering and Eigenfunction Expansions View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1970

AUTHORS

Tosio Kato , S. T. Kuroda

ABSTRACT

In the theory of simple scattering systems we consider the wave operators \({W^ \pm } = \mathop {s - \lim }\limits_{t \to \pm \infty } {e^{it{H_2}}}{e^{ - itH1}}\) and the scattering operator S=(W+)*W­- where H 1 H 2 are selfadjoint operators in a Hilbert space h describing the unperturbed and perturbed systems (see Jauch [12]). W ± are isometric and intertwine H 1 and H 2 (H 2 W ± ⊃ W ± H 1 ) whenever they exist. S is unitary if and only if the ranges of W ± are identical. More... »

PAGES

99-131

Book

TITLE

Functional Analysis and Related Fields

ISBN

978-3-642-48274-8
978-3-642-48272-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-48272-4_5

DOI

http://dx.doi.org/10.1007/978-3-642-48272-4_5

DIMENSIONS

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