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On Necessary and Sufficient Conditions for the Cook‐Criterion
Author(s) -
Demuth 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.19831130117
Subject(s) - mathematics , scattering , scattering theory , pseudodifferential operators , calculus (dental) , mathematical analysis , algebra over a field , pure mathematics , quantum mechanics , physics , medicine , dentistry
The COOK‐criterion is crucial in timedependent scattering theory for proving the existence of wave operators. In case of potential scattering for SCHRÖDINGER operators a lot of sufficient conditions on the potential is known. Here necessary conditions are considered. The results are applicable for many‐body and for multi‐channel cases.