LEADER 04653nam 22007815 450 001 9910257415303321 005 20200702020043.0 010 $a3-540-46868-4 024 7 $a10.1007/BFb0025757 035 $a(CKB)1000000000233478 035 $a(SSID)ssj0000325147 035 $a(PQKBManifestationID)12069562 035 $a(PQKBTitleCode)TC0000325147 035 $a(PQKBWorkID)10322172 035 $a(PQKB)11548153 035 $a(DE-He213)978-3-540-46868-4 035 $a(PPN)15520453X 035 $a(EXLCZ)991000000000233478 100 $a20121227d1989 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNew Methods and Results in Non-linear Field Equations$b[electronic resource] $eProceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7?10 July 1987 /$fedited by Philippe Blanchard, Joao-Paulo Dias, Joachim Stubbe 205 $a1st ed. 1989. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1989. 215 $a1 online resource (VII, 136 p. 2 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v347 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51977-7 327 $aSome remarks on stochastically perturbed (Hamiltonian) systems -- Stability of ground states for nonlinear classical field theories -- A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity -- Some remarks on the nonlinear Schrödinger equation in the subcritical case -- The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions -- The Cauchy problem for the non-linear Klein-Cordon equation -- Conformal invariance and time decay for nonlinear wave equations -- Energy forms and white noise analysis -- Principles of solitary wave stability. 330 $aQuantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for non-linear wave equations. This volume provides a good survey of present-day research in non-linear problems of quantum theory for researchers and graduate students. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v347 606 $aQuantum physics 606 $aPhysics 606 $aThermodynamics 606 $aStatistical physics 606 $aDynamical systems 606 $aQuantum computers 606 $aSpintronics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 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 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 615 0$aQuantum physics. 615 0$aPhysics. 615 0$aThermodynamics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aQuantum computers. 615 0$aSpintronics. 615 14$aQuantum Physics. 615 24$aMathematical Methods in Physics. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aThermodynamics. 615 24$aComplex Systems. 615 24$aQuantum Information Technology, Spintronics. 676 $a530.12 702 $aBlanchard$b Philippe$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDias$b Joao-Paulo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aStubbe$b Joachim$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910257415303321 996 $aNew Methods and Results in Non-linear Field Equations$92506279 997 $aUNINA