A brief review of the path integral formalism for classical mechanics

Mark S. Swanson

This book is a self-contained and concise introduction to the techniques and applications of path integral quantization and functional techniques, aimed at students and practitioners. The first half of the text focuses on quantum mechanics, including a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, and further examination of the path integral. The second part examines relativistic field theories, reviewing special relativity, as well as derivation of the path integral representation of the vacuum transition element for quantized scalar, spinor, and vector fields from the coherent state representation of the respective field theories

Martin C. Gutzwiller

Branko G Dragovich, Lj. Nesic

The Feynman path integral method plays even more important role in p-adic and adelic quantum mechanics than in ordinary quantum theory. p-Adic path integral is defined as a natural generalization of the standard one. Here 1 , we give a brief review of our recent investigations on this subject. In particular, the path integrals for two-dimensional models with quadratic Lagrangians are evaluated.

E. Gozzi, E. Cattaruzza, Carlo Pagani

In this book a brief presentation of the path-integral for quantum mechanics is given followed by a complete presentation of the path-integral for classical mechanics.

Michael Rudolf Vogl