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Necessary Conditions for the Existence of Wave Operators
Author(s) -
Demuth M.,
Wollenberg M.
Publication year - 1983
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19831140121
Subject(s) - mathematics , operator (biology) , d'alembert operator , mathematical analysis , pseudodifferential operators , scattering , schrödinger's cat , quantum mechanics , physics , biochemistry , chemistry , repressor , transcription factor , gene
Abstract Proceeding from the existence of wave operators necessary conditions are given. These are strengthened in case of potential scattering for the S CHRÖDINGER operator. Also singular potentials are considered. The results are compared with sufficient existence conditions.