PATH INTEG, HYPERBOL SPACE & SELBERG TRACE FORMULAE (2ND ED)

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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.