Singular Perturbations of Differential 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.
- Indispensable for researchers in this area
- Authors are leaders in their field
Reviews & endorsements
'… 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
Product details
March 2000Paperback
9780521779128
444 pages
228 × 154 × 25 mm
0.61kg
Available
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.