Singular Perturbations of Differential Operators: Solvable Schrödinger-type Operators

by S. Albeverio, P. Kurasov

Overview

Differential and more general self-adjoint operators involving singular interactions arise naturally in a range of subjects such as classical and quantum physics, chemistry, and electronics. This book is a systematic mathematical study of these operators, with particular emphasis on spectral and scattering problems. The methods discussed are based on a new concept of symplectic structure of the "boundary form." Suitable for researchers in analysis or mathematical physics, this volume could also be used as a text for an advanced course on the applications of analysis.

Product Details

ISBN-13:	9780521779128
Publisher:	Cambridge University Press
Publication date:	03/13/2000
Series:	London Mathematical Society Lecture Note Series , #271
Pages:	444
Product dimensions:	6.06(w) x 8.98(h) x 0.98(d)

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.

Editorial Reviews

'… 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

From the Publisher