Singular Perturbations of Differential Operators

Solvable Schrodinger-Type Operators
Erscheinungsjahr 2010
ISBN: 978-0-521-77912-8
Verlag: Cambridge University Press

Buch, Englisch, Band 271, 443 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 716 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Albeverio, S.

Kurasov, P.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.