TY - BOOK AU - Holden,H. AU - Jensen,A. ED - Nordic Summer School in Mathematics TI - Schrödinger operators: proceedings of the Nordic Summer School in Mathematics held at Sandbjerg Slot, Sønderborg, Denmark, August 1-12, 1988 T2 - Lecture notes in physics, SN - 9783540468073 AV - QA329 .N67 1988 U1 - 515/.724 20 PY - 1989/// CY - Berlin, New York PB - Springer-Verlag KW - Schrödinger operator KW - Congresses KW - fast KW - Hamilton-Operator KW - swd KW - Sonderburg <1988> KW - Electronic books KW - Conference papers and proceedings N1 - English and French; Includes bibliographical references; Dirichlet forms and generalized Schrödinger operators / S. Albeverio, J. Brasche, M. Röckner -- Asymptotic properties of resonance functions and generalized eigenfunctions / E. Balslev -- Path integrals for relativistic Schrödinger operators / R. Carmona -- Some applications of commutation methods / F. Gesztesy -- Equation de Schrödinger avec champ magnétique et équation de Harper / B. Helffer, J. Sjöstrand -- Asymptotic perturbation theory for Schrödinger eigenvalue problems / W. Hunziker -- Introduction to N-body Schrödinger operators / W. Hunziker -- Nonlinear Schrödinger equations / T. Kato -- Random Schrödinger operators / W. Kirsch -- Kinetic energy bounds and their application to the stability of matter / E.H. Lieb -- On the use of intertwining operators in inverse scattering / A. Melin -- Inverse spectral problems on compact Riemannian manifolds / P.A. Perry -- Many-body scattering problem / I.M. Sigal -- Stability of relativistic Coulomb and gravitating systems / H.-T. Yau; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010 N2 - Understanding quantum mechanics inevitably leads to an in-depth study of the Schrdinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrdinger 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 UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/3-540-51783-9 ER -