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Singular Perturbations of Differential Operators

Singular Perturbations of Differential Operators
Solvable Schrödinger-type Operators

Part of London Mathematical Society Lecture Note Series

  • Date Published: April 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521779128


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About the Authors
  • 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.

    • Indispensable for researchers in this area
    • Authors are leaders in their field
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    Reviews & endorsements

    '… 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

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    Product details

    • Date Published: April 2000
    • format: Paperback
    • isbn: 9780521779128
    • length: 444 pages
    • dimensions: 229 x 152 x 25 mm
    • weight: 0.65kg
    • availability: Available
  • 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.

  • Authors

    S. Albeverio, Rheinische Friedrich-Wilhelms-Universität Bonn

    P. Kurasov, Stockholms Universitet

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