Mathematical Theory of Feynman Path Integrals : An Introduction
Publication year: 2008
ISBN: 978-3-540-76956-9
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Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory.
Subject: Mathematics and Statistics, (infinite dimensional) oscillatory integrals, Feynman path integrals, Potential, calculus, geometry, mechanics, number theory, quantum mechanics, quantum theory of fields, semiclassical asymptotic expansions
