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Singular perturbations of differential operators : solvable Schrödinger type operators / S. Albeverio, P. Kurasov.

By: Albeverio, SergioContributor(s): Kurasov, PMaterial type: TextTextSeries: London Mathematical Society lecture note series ; 271.Publication details: Cambridge ; New York : Cambridge University Press, 2000. Description: 1 online resource (xiv, 429 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107089419; 1107089417; 9780511758904; 0511758901; 9781107095724; 1107095727Subject(s): Perturbation (Mathematics) | Schrödinger operator | MATHEMATICS -- Functional Analysis | Perturbation (Mathematics) | Schrödinger operator | Operatortheorie | Differentiaaloperatoren | Métodos de perturbação (análise funcional) | Operadores | Operadores de schrodinger | Schrödinger, Opérateur de | Perturbation (Mathématiques)Genre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Singular perturbations of differential operators.DDC classification: 515/.7242 LOC classification: QA871 | .A34 2000ebOther classification: 31.46 Online resources: Click here to access online
Contents:
1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks.
Summary: This is a systematic mathematical study of differential (and more general self-adjoint) operators.
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Includes bibliographical references (pages 353-426) and index.

Print version record.

This is a systematic mathematical study of differential (and more general self-adjoint) operators.

1. Rank one perturbations -- 2. Generalized rank one perturbations -- 3. Finite rank perturbations and distribution theory -- 4. Scattering theory for finite rank perturbations -- 5. Krein's formula for infinite deficiency indices and two-body problems -- 6. Few-body problems -- 7. Three-body models in one dimension -- A. Historical remarks.

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