The Resource Path integrals in quantum mechanics, statistics, polymer physics, and financial markets, Hagen Kleinert

Path integrals in quantum mechanics, statistics, polymer physics, and financial markets, Hagen Kleinert

Label
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
Title
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets
Statement of responsibility
Hagen Kleinert
Creator
Subject
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 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." "In addition to the time-sliced 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 Feynman-Kleinert 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 large-order 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 large-order 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 Chern-Simons 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 Black-Scholes 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
http://library.link/vocab/creatorName
Kleinert, Hagen
Illustrations
illustrations
Index
index present
LC call number
QC174
LC item number
.K54 2009
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Path integrals
  • Quantum theory
  • Statistical physics
  • Polymers
  • Path integrals
  • Polymers
  • Quantum theory
  • Statistical physics
  • Black-Scholes-Modell
  • Kapitalmarkt
  • Kreditmarkt
  • Martingaltheorie
  • Optionspreistheorie
  • Pfadintegral
  • Physik
  • Polymere
  • Quantenmechanik
  • Statistische Physik
Label
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets, Hagen Kleinert
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 1522-1528) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
24 cm
Edition
5th ed.
Extent
xliii, 1579 pages
Isbn
9789814273565
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)317588197
  • (OCoLC)ocn317588197
Label
Path integrals in quantum mechanics, statistics, polymer physics, and financial markets, Hagen Kleinert
Publication
Bibliography note
Includes bibliographical references (p. 1522-1528) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
24 cm
Edition
5th ed.
Extent
xliii, 1579 pages
Isbn
9789814273565
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
  • (OCoLC)317588197
  • (OCoLC)ocn317588197

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...