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Description
Techniques and Applications of Path IntegrationA 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
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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/27/2005
ISBN: 9780486445281
Pages: 416
Weight: 0.94lbs
Size: 8.34h x 5.46w x 0.85d
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★★★★★ 5
Definitely a tough toy
Color: Blue
This is one of the few toys my
Boxer/american bulldog mix hasn’t been able to tear apart. He loves chewing on it and I love that he doesn’t chew on stuff he shouldn’t.
I have such an issue with toys being torn apart the day I bring them home. I wish there was a safe way for it to have a squeaker since he loves squeakers but I don’t think that is possible.
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Reviewed in the United States on May 18, 2026
★★★★★ 5
Croc-sational
Color: Blue
My tough chewer is OBSESSED with Croc. Stands up well, small particles occasionally come off but this beats going thru 3 stuffies in an hour. Good value, easy to clean and great for our 91lb pitty
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Reviewed in the United States on May 18, 2026
★★★★★ 4
Good for a few weeks for large dogs
Color: Blue
It held up for a few weeks. The arms and tip of the tail were chewed off. Had to throw it away so my dogs wouldnt eat the parts that they chewed off. It kept them busy for a while.
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Reviewed in the United States on June 12, 2026
★★★★★ 3
Dog likes it, but is very hard material around smaller dogs when he is playing and running
Color: Blue
My 22lb dog loves this chew. We have owned it just for one day. He immediately loved it and he races through the house holding it in his mouth like a grand prize.
I have concerns to the hardness of the ends of it, the material is very hard, and the tail comes to an end shape that could hurt other pets in a multidog home if it hit or stuck in them. I have two smaller chihuahua dogs, one who has lost an eye so this is something to be careful about with other dogs running with this toy. This may not affect a one dog home. Best to observe the dog while playing with it around others.
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Reviewed in the United States on May 6, 2026
★★★★★ 5
Withstands very aggressive chewing
Color: Blue
We have a very active and aggressive chewer. Items identified for aggressive chewers are “Gone in 60 Seconds”. This toy is amazing. It has withstood Jake’s many attempts to destroy it and is one of his favorites! It is not hard like acrylic but is hard rubber with some give decreasing risk of fractured teeth. Best toy yet!!!
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Reviewed in the United States on May 8, 2026