Techniques and Applications of Path Integration
(eBook)

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Published
Dover Publications, 2012.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486137025

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APA Citation, 7th Edition (style guide)

L. S. Schulman., & L. S. Schulman|AUTHOR. (2012). Techniques and Applications of Path Integration . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

L. S. Schulman and L. S. Schulman|AUTHOR. 2012. Techniques and Applications of Path Integration. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

L. S. Schulman and L. S. Schulman|AUTHOR. Techniques and Applications of Path Integration Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

L. S. Schulman, and L. S. Schulman|AUTHOR. Techniques and Applications of Path Integration Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID4eb6f6fa-c5d1-5abb-2143-8889b466ce26-eng
Full titletechniques and applications of path integration
Authorschulman l s
Grouping Categorybook
Last Update2022-10-18 21:40:45PM
Last Indexed2024-04-18 00:32:52AM

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First LoadedJul 14, 2023
Last UsedJul 14, 2023

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    [synopsis] => 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.
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