Christian Grosche Knihy

The Handbook of Feynman Path Integrals appears just fifty years after Richard Feynman published his pioneering paper in 1948 entitled „Space-Time Approach to Non-Relativistic Quantum Mechanics“, in which he introduced his new formulation of quantum mechanics in terms of path integrals. The book presents for the first time a comprehensive table of Feynman path integrals together with an extensive list of references; it will serve the reader as a thorough introduction to the theory of path integrals. As a reference book, it is unique in its scope and will be essential for many physicists, chemists and mathematicians working in different areas of research.

This second edition offers an extensive examination of path integration in both two- and three-dimensional spaces with varying curvature. It outlines coordinate systems that facilitate variable separation in Hamiltonians and path integrals, presenting corresponding solutions in a tabulated format. New insights into non-constant curvature Darboux spaces and integrable billiard systems in various geometric domains are included. Additionally, it provides an overview of recent advancements related to the Selberg trace formula and its applications in mathematical physics and string theory.