LEADER 03947nam 22006495 450 001 9910257431703321 005 20200702023226.0 010 $a3-540-46807-2 024 7 $a10.1007/3-540-51783-9 035 $a(CKB)1000000000233467 035 $a(SSID)ssj0000326442 035 $a(PQKBManifestationID)12081465 035 $a(PQKBTitleCode)TC0000326442 035 $a(PQKBWorkID)10296437 035 $a(PQKB)11190976 035 $a(DE-He213)978-3-540-46807-3 035 $a(PPN)155186388 035 $a(EXLCZ)991000000000233467 100 $a20121227d1989 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSchrödinger Operators$b[electronic resource] $eProceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1?12, 1988 /$fedited by Helge Holden, Arne Jensen 205 $a1st ed. 1989. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1989. 215 $a1 online resource (V, 458 p. 2 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v345 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51783-9 327 $aDirichlet 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. 330 $aUnderstanding quantum mechanics inevitably leads to an in-depth study of the Schrödinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrödinger operator occurring in solid-state physics, nuclear physics, etc. The topics covered are nonlinear and random potentials, magnetic fields, and many-body problems. Inverse spectral theory is also treated. The results are mathematically rigorous and many physical implications are discussed. The book is suitable for advanced courses in mathematical physics. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v345 606 $aPhysics 606 $aQuantum computers 606 $aSpintronics 606 $aQuantum physics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 615 0$aPhysics. 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aQuantum physics. 615 14$aMathematical Methods in Physics. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aQuantum Information Technology, Spintronics. 615 24$aQuantum Physics. 676 $a530.15 702 $aHolden$b Helge$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aJensen$b Arne$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910257431703321 996 $aSchrodinger operators$979898 997 $aUNINA