Results 221 to 230 of about 66,934 (267)

White noise approach to interacting quantum field theory

Recent Developments in Stochastic Analysis and Related Topics, 2004
In 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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General Theory of White Noise Analysis

2000
White noise analysis was initiated by T. Hida in 1975. This is an infinite dimensional stochastic analysis, the basic idea of which is to view Wiener functionals as functionals of white noise. More precisely, let Ω denote the space of all continuous functions f on ∝, null at 0, equipped with the topology of uniform convergence on bounded sets.
Zhi-yuan Huang, Jia-an Yan
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A General Fractional White Noise Theory And Applications To Finance

Mathematical Finance, 2003
We present a new framework for fractional Brownian motion in which processes with all indices can be considered under the same probability measure. Our results extend recent contributions by Hu, Øksendal, Duncan, Pasik‐Duncan, and others. As an application we develop option pricing in a fractional Black‐Scholes market with a noise process driven by a ...
Elliott, R., Van Der Hoek, J.
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Characteristics of Response to Nonstationary White Noise: Theory

Journal of Engineering Mechanics, 1989
New methods of analysis are developed to study characteristics of the response of linear systems to nonstationary stochastic input. An envelope of the response based on the Hilbert transformation of the process is used, and derivations are made with respect to stationary response properties.
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White Noise Analysis, Quantum Field Theory, and Topology

Stochastic Analysis: Classical and Quantum, 2005
Topological 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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SOME OF FUTURE DIRECTIONS OF WHITE NOISE THEORY

Quantum Information and Computing, 2006
Some of future directions of white noise analysis will be presented. First, we shall revisit the space of generalized white noise functionals with a view point of analogue calculus. It is reasonable, in fact, not too large, once the system of variables is taken to be white noise {Ḃ(t), t ∈ R1}.
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Signal, noise, and background theory for white-light correlation filters

Annual Meeting Optical Society of America, 1988
A theoretical study is presented comparing the performance of several correlation filters including the Fourier-based matched filter, the Hartley transform system, and the sine-filter-cosine configuration.1 In principle all these can be realized in systems using incoherent illumination, but the latter two possess the distinct advantage that the filter ...
Shen-Ge Wang, Nicholas George
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Effects of multiplicative white and colored noise in dye-laser theory

Physical Review A, 1990
The 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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White noise and heating of quantum field theory in an open system

Physical Review D, 1991
The time evolution of the density matrix of a relativistic quantum field theory coupled to random noise is discussed. Using path-integral techniques, we solve analytically for the density matrix of a system of free fields coupled to noise. We show that in the limit of large time the density matrix evolves to a thermal state and we compute the ...
, Cloutier, , Semenoff
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Theory and practice of a fully controllable white noise generator

1996 International Semiconductor Conference. 19th Edition. CAS'96 Proceedings, 2002
This 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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