Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
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The work Path integrals in quantum mechanics, statistics, polymer physics, and financial markets represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
Resource Information
The work Path integrals in quantum mechanics, statistics, polymer physics, and financial markets represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
 Statement of responsibility
 Hagen Kleinert
 Subject

 Statistical physics
 Polymers
 Statistical physics
 Polymere
 Path integrals
 Quantum theory
 Polymers
 Martingaltheorie
 Kreditmarkt
 Quantum theory
 Path integrals
 Quantum theory
 Kapitalmarkt
 Polymers
 Quantenmechanik
 Statistical physics
 Polymers
 Quantum theory
 Statistical physics
 Path integrals
 Statistische Physik
 Physik
 Path integrals
 Optionspreistheorie
 BlackScholesModell
 Pfadintegral
 Language
 eng
 Summary
 "This is the fifth, 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 quantummechanical 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 timesliced path integrals that are manifestly invariant under coordinate transformations." "In addition to the timesliced definition, the author gives a perturbative definition of path integrals which makes them invariant under coordinate transformations. A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely integrals over products of distributions." "The powerful FeynmanKleinert variational approach is explained and developed systematically into a variational perturbation theory which, in contrast to ordinary perturbation theory, produces convergent expansions. The convergence is uniform from weak to strong couplings, opening a way to precise approximate evaluations of analytically unsolvable path integrals." "Tunneling processes are treated in detail. The results are used to determine the lifetime of supercurrents, the stability of metastable thermodynamic phases, and the largeorder behavior of perturbation expansions. A new variational treatment extends the range of validity of previous tunneling theories from large to small barriers. A corresponding extension of largeorder perturbation theory now also applies to small orders." "Special attention is devoted to path integrals with topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The ChernSimons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous BlackScholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions."Jacket
 Cataloging source
 YDXCP
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QC174
 LC item number
 .K54 2009
 Literary form
 non fiction
 Nature of contents
 bibliography
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