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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Book by Simon Barry
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
GRATIS
In U.S.A.
Descrizione libro Chelsea Pub Co, 2004. Condizione: New. A+ Customer service! Satisfaction Guaranteed! Book is in NEW condition. Codice articolo 0821835823-2-1
Descrizione libro Chelsea Pub Co, 2004. Hardcover. Condizione: New. 2nd. Codice articolo DADAX0821835823
Descrizione libro American Mathematical Society, United States, 2004. Hardback. Condizione: New. 2nd UK ed. Language: English. Brand new Book. 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. Codice articolo AAN9780821835821
Descrizione libro American Mathematical Society. Hardback. Condizione: New. New copy - Usually dispatched within 4 working days. 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. Codice articolo B9780821835821
Descrizione libro Ams Chelsea Pub., 2004. Hardcover. Condizione: Brand New. 2nd edition. 306 pages. 10.16x7.17x0.87 inches. In Stock. Codice articolo __0821835823
Descrizione libro American Mathematical Society, 2004. HRD. Condizione: New. 2nd. New Book. Shipped from UK. Established seller since 2000. Codice articolo CE-9780821835821