Singular Perturbations of Differential Operators
Solvable Schrödinger-type Operators

This is a systematic mathematical study of differential (and more general self-adjoint) operators.

S. Albeverio (Author), P. Kurasov (Author)

9780521779128, Cambridge University Press

Paperback, published 13 March 2000

444 pages
22.8 x 15.4 x 2.5 cm, 0.61 kg

'… 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

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.

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.

Subject Areas: Probability & statistics [PBT]