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Singular Perturbations of Differential Operators

Singular Perturbations of Differential Operators

Singular Perturbations of Differential Operators

Solvable Schrödinger-type Operators
S. Albeverio, Rheinische Friedrich-Wilhelms-Universität Bonn
P. Kurasov, Stockholms Universitet
March 2000
Paperback
9780521779128
$75.00
USD
Paperback
USD
eBook

    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

    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

    See more reviews

    Product details

    March 2000
    Paperback
    9780521779128
    444 pages
    228 × 154 × 25 mm
    0.61kg
    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