Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
"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/r[superscript 2] potentials. The second is a simple quantum equivalence principle governing the transformation of euclidean path integrals to spaces with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations."--Jacket
xxxvi, 1468 pages : illustrations ; 24 cm
9789812381064, 9789812381071, 9812381066, 9812381074
55063068
Fundamentals; Path Integrals - Elementary Properties and Simple Solutions; External Sources, Correlations, and Perturbation Theory; Semiclassical Time Evolution Amplitude; Variational Perturbation Theory; Path Integrals with Topological Constrainsts; Many Particle Orbits - Statistics and Second Quantization; Path Integrals in Spherical Coordinates; Fixed-Energy Amplitude and Wave Functions; Spaces with Curvature and Torsion; Schrodinger Equation in General Metric-Affine Spaces; New Path Integral Formula for Singular Potentials; Path Integral of Coulomb System; Solution of Further Path Integrals by the Duru-Kleinert Method; Path Integrals in Polymer Physics; Polymers and Particle Orbits in Multiply Connected Spaces; Tunneling; Nonequilibrium Quantum Statistics; Relativistic Particle Orbits; Path Integrals and Financial Markets.
Errata slip tipped in