We apply new techniques based on the distributional theory of Fourier transforms to study, in the stochastic limit of quantum theory, the convergence of the rescaled creation and annihilation densities, which lead to the master fields, and the form of the drift term of the stochastic Schrodinger equation obtained in such limit. This approach permits us to dispense with the "analytical condition" and other restrictions usually considered and also to establish the dependence of the stochastic golden rules on certain properties of the dispersion function of the quantum field.
Accardi, L., Cubillo, F. (2007). Dispersion relations in the stochastic limit of quantum theory. In Quantum probability and infinite dimensional analysis: proceedings of the 26th conference / L. Accardi, W. Freudenberg, M. Schurmann editors (pp.45-52). Singapore : World Scientific Publishing Company [10.1142/9789812770271_0005].
Dispersion relations in the stochastic limit of quantum theory
ACCARDI, LUIGI;
2007-01-01
Abstract
We apply new techniques based on the distributional theory of Fourier transforms to study, in the stochastic limit of quantum theory, the convergence of the rescaled creation and annihilation densities, which lead to the master fields, and the form of the drift term of the stochastic Schrodinger equation obtained in such limit. This approach permits us to dispense with the "analytical condition" and other restrictions usually considered and also to establish the dependence of the stochastic golden rules on certain properties of the dispersion function of the quantum field.| File | Dimensione | Formato | |
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Dispersion Relations in the Stochastic Limit of Quantum Theory.tex
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