an:00764378
Zbl 0824.47019
Simon, Barry
Spectral analysis of rank one perturbations and applications
EN
Feldman, J. (ed.) et al., Mathematical quantum theory II: Schr??dinger operators. Proceedings of the Canadian Mathematical Society annual seminar on mathematical quantum theory held in Vancouver, Canada, August 4-14, 1993. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 8, 109-149 (1995).
1995
a
47B15 47A10 47A55 34L05 81Q10 34F05
selfadjoint operators; localization for Schr??dinger operators; inverse spectral theory; operators with singular continuous spectrum
Summary: A review of the general theory of selfadjoint operators of the form \(A+ \alpha B\), where \(B\) is rank one is presented. Applications include proofs of localization for Schr??dinger operators, results on inverse spectral theory, and examples of operators with singular continuous spectrum.
For the entire collection see [Zbl 0815.00011].