Techniques and Applications of Path Integration (Dover Books on Physics)
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Book Details
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Author: L.S. Schulman
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Publisher: Dover
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Language: English
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Edition: Illustrated
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ISBN: 9780486445281
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Pages: 448
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Cover: Paperback
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Package Dimensions: 8.5 x 5.5 x 1.0 inches
About The Book
Path Integrals in Quantum Mechanics by L.S. Schulman is an essential text for advanced undergraduates and graduate students in physics. This illustrated paperback edition presents the path integral technique and demonstrates its applications with clear examples. The book’s only prerequisite is a foundational course in quantum mechanics, making it an accessible yet comprehensive guide for those delving into more advanced topics.
The first part of the book focuses on developing the techniques of path integration. Topics covered include probability amplitudes for paths, vector potentials, the Ito integral, Brownian motion, Green's functions, and perturbation theory. The second part applies these techniques to practical problems, addressing topics like scattering theory, geometrical optics, the polaron, relativistic propagators, and statistical mechanics. Additional subjects such as renormalization, scaling for critical phenomena, and quantum mechanics on curved spaces are explored in depth.
This book is a valuable resource for students and researchers looking to gain a deeper understanding of quantum mechanics and its diverse applications. It balances theoretical foundations with practical examples, ensuring that readers not only grasp the concepts but also learn how to apply them effectively.