Singular perturbations of differential operators : solvable Schrödinger type operators

S. Albeverio, P. Kurasov

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.

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[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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この本の情報

書名 Singular perturbations of differential operators : solvable Schrödinger type operators
著作者等 Albeverio, Sergio
Kurasov P.
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 2000, c1999
ページ数 xiv, 429 p.
大きさ 23 cm
ISBN 052177912X
NCID BA45421366
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言語 英語
出版国 イギリス
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