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Technical Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, Third Edition

Posted on 2010-04-14




Name:Technical Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, Third Edition
ASIN/ISBN:9812381066
Publisher:World Scientific Publishing Company
Publish Date:edition 2004
Pages:1504 pages
File size:54.16 Mb
Publisher: World Scientific Publishing Company
ISBN: 9812381066
Publish Date: edition 2004
File Type: PDF
Pages: 1504 pages
File Size: 54,16 mb
   Technical Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, Third Edition



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Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, Third Edition

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. 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.

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