Master Fields, Drift and Dispersion in the Stochastic Limit of Quantum Theory
- 16 Downloads
This work is a detailed study of the convergence of the rescaled creation and annihilation densities, which lead to the master fields, and the form of the drift in the stochastic limit of quantum theory. The approach, based on the distributional theory of Fourier transforms, dispenses with the “analytical condition” and other restrictions usually considered and also establishes the dependence of the stochastic golden rules upon the dispersion function of the quantum field.
KeywordsQuantum Theory Inverse Fourier Transform Drift Term Dispersion Function Fourier Integral
Unable to display preview. Download preview PDF.
- 2.L. Accard and S.V. Kozyrev, Quantum Interacting Particle Systems, in: Quantum Interacting Particle Systems, L. Accardi and F. Fagnola, eds., World Scientific, Singapore, 2002, pp. 1–193.Google Scholar
- 3.Gelfand I.M., Shilov G.E. (1962) Les Distributions. Dunod, ParisGoogle Scholar
- 4.Schwartz L. (1966) Méthodes Mathématiques pour les Sciences Physiques. Hermann, ParisGoogle Scholar
- 5.Titchmarsh E.C. (1948) Introduction to the Theory of Fourier Integrals. Oxford University Press, OxfordGoogle Scholar