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Techniques And Applications Of Path Integration

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Quantum mechanics made accessible through path integration.

Recommendation: This book is a great introduction to path integration techniques in quantum mechanics, making the subject matter accessible to anyone who has only taken one course on the topic. The book is filled with illustrative examples that show the techniques in action, making it easy to understand how to apply them to other situations. For those looking to expand their knowledge on path integration, Techniques And Applications Of Path Integration is a must-read.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.
Sale

Techniques And Applications Of Path Integration

Regular price Save up to 30%
Unit price
per
Compare to estimated retail price: S$30.52  
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ISBN: 9780486445281
Authors: L.S. Schulman
Publisher: Dover Publications
Date of Publication: 2005-12-27
Format: Paperback
Related Collections: Science, Physics
Related Topics: Physics, Mathematics
Goodreads rating: 4.5
(rated by 4 readers)

Description

A book of techniques and applications, this text defines the path integral and illustrates its uses by example. It is suitable for advanced undergraduates and graduate students in physics; its sole prerequisite is a first course in quantum mechanics. For applications requiring specialized knowledge, the author supplies background material.The first part of the book develops the techniques of path integration. Topics include probability amplitudes for paths and the correspondence limit for the path integral; vector potentials; the Ito integral and gauge transformations; free particle and quadratic Lagrangians; properties of Green's functions and the Feynman-Kac formula; functional derivatives and commutation relations; Brownian motion and the Wiener integral; and perturbation theory and Feynman diagrams.The second part, dealing with applications, covers asymptotic analysis and the calculus of variations; the WKB approximation and near caustics; the phase of the semiclassical amplitude; scattering theory; and geometrical optics. Additional topics include the polaron; path integrals for multiply connected spaces; quantum mechanics on curved spaces; relativistic propagators and black holes; applications to statistical mechanics; systems with random impurities; instantons and metastability; renormalization and scaling for critical phenomena; and the phase space path integral.
 

Quantum mechanics made accessible through path integration.

Recommendation: This book is a great introduction to path integration techniques in quantum mechanics, making the subject matter accessible to anyone who has only taken one course on the topic. The book is filled with illustrative examples that show the techniques in action, making it easy to understand how to apply them to other situations. For those looking to expand their knowledge on path integration, Techniques And Applications Of Path Integration is a must-read.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.