Singular perturbations of differential operators : solvable Schrödinger type operators
著者
書誌事項
Singular perturbations of differential operators : solvable Schrödinger type operators
(London Mathematical Society lecture note series, v. 271)
Cambridge University Press, 2000, c1999
- : pbk
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注記
Includes bibliographical references (p. 353-426) and index
内容説明・目次
内容説明
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.
目次
- 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.
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