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050 4 _aQC173.96-174.52
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082 0 4 _a530.12
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245 1 0 _aNew Methods and Results in Non-linear Field Equations
_h[electronic resource] :
_bProceedings of a Conference Held at the University of Bielefeld, Fed. Rep. of Germany, 7–10 July 1987 /
_cedited by Philippe Blanchard, Joao-Paulo Dias, Joachim Stubbe.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
300 _aVII, 136 p. 2 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
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490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v347
505 0 _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.
520 _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.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 0 _aThermodynamics.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
700 1 _aBlanchard, Philippe.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aDias, Joao-Paulo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aStubbe, Joachim.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662144947
776 0 8 _iPrinted edition:
_z9783662144930
776 0 8 _iPrinted edition:
_z9783540519775
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v347
856 4 0 _uhttps://doi.org/10.1007/BFb0025757
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c11952
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