Evolution Processes and the Feynman-Kac Formula (Mathematics and Its Applications)

Evolution Processes and the Feynman-Kac Formula (Mathematics and Its Applications)

Editorial Reviews
Book Description
The evolution of a physical system can often be described in terms of a semigroup of linear operators. Observations of the system may be modelled by a spectral measure. A combination of these basic objects produces a family of operator valued set functions, by which perturbations of the evolution are represented as path integrals. In this book, random processes measured by operator valued set functions - evolution processes - are systematically examined for the first time. The Feynman-Kac formula, representing perturbations of the heat semigroup in terms of integrals with respect to Wiener measure, is extended in a number of directions: to other countably additive processes, not necessarily associated with a probability measure; to unbounded processes such as those associated with Feynman integrals; and to random evolutions.
Audience: Researchers in mathematical physics, functional analysis and stochastic processes.

Evolution Processes and the Feynman-Kac Formula (Mathematics and Its Applications),B. Jefferies,Springer,079233843X,Applied,Evolution equations,Integral Equations,Mathematical Analysis,Path integrals,Quantum Theory,Science,Science/Mathematics,Vector spaces,Mathematics / Applied,Mathematics for scientists & engineers,Theoretical methods

Books Info:

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Books Info

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