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Functional Integration and Quantum Physics (Hardcover, 2nd Revised edition)
Loot Price: R1,812
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Functional Integration and Quantum Physics (Hardcover, 2nd Revised edition)
Series: AMS Chelsea Publishing
Expected to ship within 12 - 17 working days
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The main theme of this book is the 'path integral technique' and
its applications to constructive methods of quantum physics. The
central topic is probabilistic foundations of the Feynman-Kac
formula. Starting with main examples of Gaussian processes (the
Brownian motion, the oscillatory process, and the Brownian bridge),
the author presents four different proofs of the Feynman-Kac
formula. Also included is a simple exposition of stochastic Ito
calculus and its applications, in particular to the Hamiltonian of
a particle in a magnetic field (the Feynman-Kac-Ito formula).Among
other topics discussed are the probabilistic approach to the bound
of the number of ground states of correlation inequalities (the
Birman-Schwinger principle, Lieb's formula, etc.), the calculation
of asymptotics for functional integrals of Laplace type (the theory
of Donsker-Varadhan) and applications, scattering theory, the
theory of crushed ice, and the Wiener sausage. Written with great
care and containing many highly illuminating examples, this classic
book is highly recommended to anyone interested in applications of
functional integration to quantum physics. It can also serve as a
textbook for a course in functional integration.
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