Schrödinger Operators
Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1-12, 1988
1st Edition
Published on 28. November 1989
Book
Hardback
V, 458 pages
978-3-540-51783-2 (ISBN)
Description
Understanding quantum mechanics inevitably leads to an in-depth study of the Schrödinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrödinger operator occurring in solid-state physics, nuclear physics, etc. The topics covered are nonlinear and random potentials, magnetic fields, and many-body problems. Inverse spectral theory is also treated. The results are mathematically rigorous and many physical implications are discussed. The book is suitable for advanced courses in mathematical physics.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
2 s/w Abbildungen
Dimensions
Height: 24.2 cm
Width: 17 cm
Weight
880 gr
ISBN-13
978-3-540-51783-2 (9783540517832)
DOI
10.1007/3-540-51783-9
Schweitzer Classification
Other editions
Additional editions
Helge Holden | Arne Jensen
Schrödinger Operators
Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1-12, 1988
Book
11/2013
Springer
€106.99
Shipment within 7-9 days
Content
Dirichlet forms and generalized Schrödinger operators.- Asymptotic properties of resonance functions and generalized eigenfunctions.- Path integrals for relativistic Schrodinger operators.- Some applications of commutation methods.- Equation de Schrödinger avec champ magnétique et équation de Harper.- Asymptotic perturbation theory for Schrödinger eigenvalue problems.- to N-body Schrödinger operators.- Nonlinear Schrödinger equations.- Random Schrödinger operators a course.- Kinetic energy bounds and their application to the stability of matter.- On the use of intertwining operators in inverse scattering.- Inverse spectral problems on compact Riemannian manifolds.- Many-body scattering problem.- Stability of relativistic Coulomb and gravitating systems.