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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
Peanut butter delivery system
Color: Blue
My big dog loves this bone. I run PB down the middle on one side when we go out. He loves it and brings the bone to us when we return to play :gimme that bone.”
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Reviewed in the United States on June 3, 2026
★★★★★ 4
Durable bone that you can add a spreadable treat to
Color: Blue
Our German Shepherd was 4 months old when we purchased this. She’s going to be 6 months soon. She has been teething really bad. We wanted some way to sooth her pain. This product was just what we needed. We put it in the freezer with some peanut butter in the center on both sides. Once frozen we give to our puppy. She loves it. When we open the freezer she recognizes the ziplock package that it was delivered in which we store it in our freezer. She jumps around until we give it to her. She loves it and it keeps her occupied for a while. It is very durable. I did not notice any smell when we received it. It does not make any noise. The plastic material is safe for animals. To clean I put in the dishwasher. The only reason I did not give it 5 stars is because sometimes the peanut butter gets stuck in it and may need to go through the dishwasher twice which is not a big deal. Or you can hand wash it. I found the dishwasher was best for us. You do not even have to put anything on it, but our pup likes it. I would recommend to others.
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Reviewed in the United States on June 15, 2025
★★★★★ 5
best value I have found.
good bang for the buck.
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Reviewed in the United States on December 22, 2025
★★★★★ 1
Not made for Golden Retrievers.
Nope. Did not last an hour with our Golden Retrievers. We bought these for Christmas hoping to entertain our 2 and 4 year old Goldens while cleaning their teeth. Within an hour they were destroyed.
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Reviewed in the United States on December 26, 2025
★★★★★ 3
Dental health
Not a convenient place to place a treat. Then my dog picked not chewed much. Sturdy. Great for a hard chewer.
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Reviewed in the United States on September 8, 2025
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