TY - BOOK
AU - Albeverio,Sergio
AU - Höegh-Krohn,Raphael
TI - Mathematical theory of Feynman path integrals
T2 - Lecture notes in mathematics,
SN - 9783540382508
AV - QA3QC174.17.F45 .L28 no. 523
U1 - 510 23
PY - 1976///
CY - Berlin, New York
PB - Springer-Verlag
KW - Feynman integrals
KW - Intégrales de Feynman
KW - fast
KW - Feynman-integralen
KW - gtt
KW - Kwantumveldentheorie
KW - Electronic books
N1 - Includes bibliographical references (pages 120-131) and index; The fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010
N2 - Feynman path integrals 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. The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. To take care of the many developments which have occurred since then, an entire new chapter about the current forefront of research has been added. Except for this new chapter, the basic material and presentation of the first edition was mantained, a few misprints have been corrected. At the end of each chapter the reader will also find notes with further bibliographical information
UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0079827
ER -