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White noise approach to interacting quantum field theory
Recent Developments in Stochastic Analysis and Related Topics, 2004In this paper we present a general white noise approach to interacting quantum field theory by Hamiltonian strategy. Applying it into two models-P(4)2 and (4 ) : quantum fields we prove the existence as generalized operators under an appropriate framework of white noise analysis. In addition, some dynamical properties of quantum fields are given.
Zhiyuan Huang, Guanglin Rang
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Effects of multiplicative white and colored noise in dye-laser theory
Physical Review A, 1990The different roles played by multiplicative white and colored noise in a single-mode dye-laser model are investigated through the concept of first-passage-time (FPT) distributions. An analytic result for the skewness of the FPT distributions is presented and compared with experimental measurements and numerical simulations.
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On the definition of a tapology in Hilbert spaces with applications to the white noisy theory
Journal of the Franklin Institute, 1983Let (\({\mathcal H},{\mathcal C},\mu_ G)\) be a cylinder-probability triple on the real separable Hilbert space \({\mathcal H}\) endowed with the finite additive measure \(\mu_ G\) having the characteristic functional \(\exp \{2^{-1}\| x\|^ 2\}\), \(x\in {\mathcal H}\).
A. GANDOLFI, GERMANI, Alfredo
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White Noise Analysis, Quantum Field Theory, and Topology
Stochastic Analysis: Classical and Quantum, 2005Topological quantum field theories provide some of the most interesting examples for the usefulness of path integrals. One of the best known of these examples was discovered in [32] where one particular topological quantum field theory, Chern-Simons theory, was studied and the so-called “Wilson loop observables” (WLOs) were computed explicitly.
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A connection between the theory of hypergroups and white noise analysis
Reports on Mathematical Physics, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theory and practice of a fully controllable white noise generator
1996 International Semiconductor Conference. 19th Edition. CAS'96 Proceedings, 2002This paper describes a method and an apparatus generating white noise using feedback shift registers. We center on the problem of the minimum structure necessary for producing a white noise by multiplexing several registers with different initial states. We present a first model of this generator realized with FPGAs.
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A generalization of white noise analysis by means of theory of hypergroups
Reports on Mathematical Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Feynman integrand as a white noise distribution beyond perturbation theory
AIP Conference Proceedings, 2008Martin Grothaus +2 more
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