Singular Perturbations of Differential Operators : Solvable Schroedinger-type Operators
Differential (and more general self-adjoint) operators involving singular interactions arise naturally in a range of topics such as, classical and quantum physics, chemistry, and electronics. This book presents a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. Suitable for researchers in analysis or mathematical physics, this book could also be used as a text for an advanced course on the applications of analysis.
- Electronic book text
- 28 May 2013
- CAMBRIDGE UNIVERSITY PRESS
- Cambridge University Press (Virtual Publishing)
- Cambridge, United Kingdom
'... gives a careful, well-written, mathematical exposition of the theory of Hamiltonians with point interactions and generalizations ... a valuable reference.' W. M. Greenlee, SIAM Review
Table of contents
1. Rank one perturbations; 2. Generalized perturbations; 3. Finite rank perturbations; 4. Scattering theory; 5. Two-body problems; 6. Few-body problems; 7. Few-body in one dimension; Appendix: historical remarks.