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Adiabatic switching in abstract scattering theory
Author(s) -
Obermann Peter
Publication year - 1982
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.19821050102
Subject(s) - adiabatic process , operator (biology) , mathematics , d'alembert operator , scattering , bitwise operation , mathematical analysis , quantum mechanics , physics , computer science , chemistry , biochemistry , repressor , transcription factor , gene , programming language
The paper discusses the relations between the usual wave operator, the adiabatic switched one and the ABEL wave operator. By means of H = ‐ i d / dx + q ( x ) examples are constructed where the usual wave operator exists but the adiabatic switched one does not exist, or both exist and they are not equal.