I'm looking for a textbook in quantum mechanics that relies heavily on Green functions and the path integral formalism to supplement my QM books. I want to do some calculations using alternative methods (path integrals, green functions, Lagrangians etc).
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The Feynman integral book by Johnson and Lapidus http://tocs.ulb.tu-darmstadt.de/110841727.pdf tries to do everything in QM with the path integral! It is not quite a textbook though.
The book ''Feynman integral calculus'' by Smirnov
is a textbook, and has problems and solutions.
Feynman's textbook "Quantum Mechanics and Path Integrals - Feynman and Hibbs" has just been reprinted and is now at a very affordable price and well worth the money.
Also could try "Path Integrals in Field Theory - U. Mosel".
Or just search online, there are lots of good lecture notes on this.
Zinn-Justin has a book on Path Integrals in Quantum Mechanics.
There is also Kleinert's Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets with extensive applications to many fields.
Schulman's book Techniques and Applications of Path Integration is also very nice.