Path Integrals in Quantum Theories: A Pedagogic First Step
by Robert D. Klauber
Publisher: QuantumFieldTheory.info 2011
I strongly believe it far easier, and more meaningful, for students to learn QFT first by the canonical quantization method, and once that has been digested, move on to the path integral (many paths) approach. Hopefully, this material will help such students, as well as those who are forced to begin their study of QFT via path integrals.
Download or read it online for free here:
by Riccardo Rattazzi - EPFL
Lecture Notes for Quantum Mechanics IV. From the table of contents: The path integral formalism; Functional and Euclidean methods; The semiclassical approximation; Instantons; Interaction with an external electromagnetic field.
by Matthias Blau
These are notes for part of a course on advanced quantum mechanics given to 4th year physics students. The only prerequisites, however, are a basic knowledge of the Schroedinger and Heisenberg pictures of standard quantum mechanics.
by Christian Grosche - arXiv
An introduction into the theory of the Feynman path integral in quantum mechanics. The general formulation in Riemann spaces is given based on the Weyl- ordering prescription, respectively product ordering prescription, in the quantum Hamiltonian.
by Richard MacKenzie - arXiv
These lectures are intended as an introduction to the technique of path integrals and their applications in physics. The audience is mainly first-year graduate students, and it is assumed that the reader has a good foundation in quantum mechanics.