Functional Integration and Quantum Physics (Chelsea Publications) - Hardcover
Book 24 of 63: Ams Chelsea Publishing
Synopsis
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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Functional Integration and Quantum Physics. Second edition (AMS Chelsea Publishing)
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Functional Integration and Quantum Physics
Published by
American Mathematical Society, US, 2004
ISBN 10: 0821835823
ISBN 13: 9780821835821
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Hardback. Condition: New. 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. Seller Inventory # LU-9780821835821
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Functional Integration and Quantum Physics
Published by
American Mathematical Society, 2004
ISBN 10: 0821835823
ISBN 13: 9780821835821
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Condition: New. Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula. Series: AMS Chelsea Publishing. Num Pages: 306 pages. BIC Classification: PBK; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 259 x 184 x 21. Weight in Grams: 722. . 2004. 2nd. Hardcover. . . . . Seller Inventory # V9780821835821
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Functional Integration and Quantum Physics (AMS Chelsea Publishing)
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Functional Integration and Quantum Physics
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Functional Integration and Quantum Physics
Published by
American Mathematical Society, 2004
ISBN 10: 0821835823
ISBN 13: 9780821835821
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Condition: New. Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula. Series: AMS Chelsea Publishing. Num Pages: 306 pages. BIC Classification: PBK; PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 259 x 184 x 21. Weight in Grams: 722. . 2004. 2nd. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821835821
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Functional Integration and Quantum Physics
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ISBN 10: 0821835823
ISBN 13: 9780821835821
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Functional Integration and Quantum Physics
Published by
American Mathematical Society, US, 2004
ISBN 10: 0821835823
ISBN 13: 9780821835821
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Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
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Hardback. Condition: New. 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. Seller Inventory # LU-9780821835821
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