03947nam 22006495 450 991025743170332120200702023226.03-540-46807-210.1007/3-540-51783-9(CKB)1000000000233467(SSID)ssj0000326442(PQKBManifestationID)12081465(PQKBTitleCode)TC0000326442(PQKBWorkID)10296437(PQKB)11190976(DE-He213)978-3-540-46807-3(PPN)155186388(EXLCZ)99100000000023346720121227d1989 u| 0engurnn|008mamaatxtccrSchrödinger Operators[electronic resource] Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1–12, 1988 /edited by Helge Holden, Arne Jensen1st ed. 1989.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1989.1 online resource (V, 458 p. 2 illus.) Lecture Notes in Physics,0075-8450 ;345Bibliographic Level Mode of Issuance: Monograph3-540-51783-9 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.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.Lecture Notes in Physics,0075-8450 ;345PhysicsQuantum computersSpintronicsQuantum physicsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Quantum Information Technology, Spintronicshttps://scigraph.springernature.com/ontologies/product-market-codes/P31070Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Physics.Quantum computers.Spintronics.Quantum physics.Mathematical Methods in Physics.Numerical and Computational Physics, Simulation.Quantum Information Technology, Spintronics.Quantum Physics.530.15Holden Helgeedthttp://id.loc.gov/vocabulary/relators/edtJensen Arneedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910257431703321Schrodinger operators79898UNINA