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Smooth perturbations the self–adjoint operators defined by the ℋ︁ –2 –construction
Author(s) -
Watanabe Kazuo
Publication year - 2003
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.200310025
Subject(s) - mathematics , operator (biology) , operator matrix , pure mathematics , mathematical analysis , self adjoint operator , perturbation (astronomy) , mathematical physics , hilbert space , quantum mechanics , physics , biochemistry , chemistry , repressor , transcription factor , gene
The existence of the wave operators for the self–adjoint operator constructed by ℋ –2 –construction is discussed in the abstract theory by using Kato's smooth perturbation method. Moreover, the s –matrix is calculated explicitly.