Singular Perturbations of Differential Operators: Solvable Schrödinger-Type Operators

ISBN-13: 9780521779128 / Angielski / Miękka / 2000 / 444 str.

Sergio Albeverio; P. Kurasov

Opis

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.

Recenzje

'… 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

Spis treści

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.