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New Methods and Results in Non-linear Field Equations [[electronic resource] ] : Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987 / / edited by Philippe Blanchard, Joao-Paulo Dias, Joachim Stubbe



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Titolo: New Methods and Results in Non-linear Field Equations [[electronic resource] ] : Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987 / / edited by Philippe Blanchard, Joao-Paulo Dias, Joachim Stubbe Visualizza cluster
Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1989
Edizione: 1st ed. 1989.
Descrizione fisica: 1 online resource (VII, 136 p. 2 illus.)
Disciplina: 530.12
Soggetto topico: Quantum physics
Physics
Thermodynamics
Statistical physics
Dynamical systems
Quantum computers
Spintronics
Quantum Physics
Mathematical Methods in Physics
Numerical and Computational Physics, Simulation
Complex Systems
Quantum Information Technology, Spintronics
Persona (resp. second.): BlanchardPhilippe
DiasJoao-Paulo
StubbeJoachim
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: Some 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.
Sommario/riassunto: Quantum 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.
Titolo autorizzato: New Methods and Results in Non-linear Field Equations  Visualizza cluster
ISBN: 3-540-46868-4
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466717803316
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Serie: Lecture Notes in Physics, . 0075-8450 ; ; 347