Recommended
textbooks:
Path
integrals and all that ...
Laurie Brown (editor) and Richard P Feynman, Feynman's
Thesis: A New Approach To Quantum Theory, World Scientific,
2005. (Available as an electronic resource from the UM
library. So, if you are at UM, you can read it on your computer
without any cost.)
Richard P Feynman and Albert R Hibbs, Quantum Mechanics and Path Integrals,
McGraw-Hill, 1965. (A classic, but unfortunately now a
collector's item and quite expensive to buy. See here.)
Hagen Kleinert, Path Integrals
in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets,
5th Edition, World Scientific, 2009. (The 4th
edition, 2006, is available on Amazon for less than $40. The 3rd
edition, 2004, is available as an electronic resource from the UM
library.)
Christian Grosche and Frank Steiner, Handbook
of Feynman Path Integrals, Springer, 1998.
(Unfortunately,
again, this is not
cheap.
Rather, > $250.)
QM
in phase space ...
Cosmas K Zachos, David B Fairlie, and Thomas L Curtright, Quantum
Mechanics in Phase Space: An Overview with Selected Papers,
World Scientific, 2005. (Needless to say, a personal
favorite. One of several bridges between the formalism of path
integrals and the physics of quantum optics.)
Quantum
optics ...
John R Klauder and E C G Sudarshan, Fundamentals of Quantum Optics,
Dover, 2006. (< $20! An oldie-but-a-goodie, reprinted
from the original 1968 edition.)
Wolfgang P Schleich, Quantum Optics in Phase Space,
Wiley, 2001. (A bit more expensive than the previous.
That is to say, > $100.)