Schrdinger Operators: Proceedings of the Nordic Summer School in Mathematics He [Paperback]

Understanding quantum mechanics inevitably leads to an in-depth study of the Schr?dinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schr?dinger 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.Dirichlet forms and generalized Schr?dinger operators.- Asymptotic properties of resonance functions and generalized eigenfunctions.- Path integrals for relativistic Schrodinger operators.- Some applications of commutation methods.- Equation de Schr?dinger avec champ magn?tique et ?quation de Harper.- Asymptotic perturbation theory for Schr?dinger eigenvalue problems.- to N-body Schr?dinger operators.- Nonlinear Schr?dinger equations.- Random Schr?dinger 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.