"Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, and Financial Markets, Third Edition" by Hagen Kleinert
Publisher: World Scientific Publishing Company | 2004 | ISBN: 9812381074 | 1504 pages | DJVU | 9,9 MB
This is the third, significantly expanded edition of the comprehensive textbook published in 1990 on the theory and applications of path integrals. It is the first book to explicitly solve path integrals of a wide variety of nontrivial quantum-mechanical systems, in particular the hydrogen atom. The solutions have become possible by two major advances. The first is a new euclidean path integral formula which increases the restricted range of applicability of Feynman's famous formula to include singular attractive 1/r and 1/r2 potentials.