On the existence and the unitary property of the scattering operator View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1959-06

AUTHORS

S. T. Kuroda

ABSTRACT

The mathematical character of the scattering theory is investigated according to the ≪ time-dependent ≫ formulation with special emphasis on the wave and the scattering operators. The main contents are: 1) some general properties of these operators are summarized; 2) the existence of the wave operator is proved under rather mild conditions on the potential; and 3) the existence and the unitary property of the scattering operator are proved under certain additional conditions. The arguments are mathematically rigorous. More... »

PAGES

431-454

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02745786

DOI

http://dx.doi.org/10.1007/bf02745786

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039133392


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