A survey on mathematical Feynman path integrals: construction, asymptotics, applications
S Albeverio, S Mazzucchi - Quantum Field Theory: Competitive Models, 2009 - Springer
A Survey on Mathematical Feynman Path Integrals: Construction, Asymptotics, Applications
Page 1 Quantum Field Theory B. Fauser, J. Tolksdorf and E. Zeidler, Eds., 49–66 c© 2009 …
Page 1 Quantum Field Theory B. Fauser, J. Tolksdorf and E. Zeidler, Eds., 49–66 c© 2009 …
[图书][B] Mathematical theory of Feynman path integrals
S Albeverio, R Höegh-Krohn, S Mazzucchi - 1976 - Springer
Feynman path integrals have been introduced by Feynman in his formulation of quantum
mechanics [1]. 1 Since their inception they have occupied a somewhat ambiguous position …
mechanics [1]. 1 Since their inception they have occupied a somewhat ambiguous position …
Feynman path integrals as infinite-dimensional oscillatory integrals: some new developments
S Albeverio, Z Brzeźniak - Acta Applicandae Mathematica, 1994 - Springer
We discuss a basic mathematical approach to Feynman path integrals as infinite-
dimensional oscillatory integrals. We present new results on asymptotics of such integrals …
dimensional oscillatory integrals. We present new results on asymptotics of such integrals …
Some new developments in Feynman path integrals and applications
S Mazzucchi - XIVth International Congress on Mathematical …, 2006 - World Scientific
A survey of recent developments concerning rigorously defined infinite dimensional
oscillatory integrals,“Feynman path integrals”, is given. Both the theory and its applications …
oscillatory integrals,“Feynman path integrals”, is given. Both the theory and its applications …
Feynman path integrals
S Albeverio, R Hoegh-Krohn, R Stora, P Combe… - 1979 - inis.iaea.org
Feynman path integrals|INIS IAEA NUCLEUS Sign In Sign In Register Help 50+ years of INIS
International Nuclear Information System International Nuclear Information System Home INIS …
International Nuclear Information System International Nuclear Information System Home INIS …
[图书][B] Mathematical Feynman path integrals and their applications
S Mazzucchi - 2009 - World Scientific
One of the most challenging problems of modern physics is the connection between the
macroscopic and the microscopic world, that is between classical and quantum mechanics …
macroscopic and the microscopic world, that is between classical and quantum mechanics …
Feynman path integrals and the corresponding method of stationary phase
S Albeverio, R Hoegh-Krohn - Feynman Path Integrals: Proceedings of the …, 2005 - Springer
We give a review of our work concerning the mathematical definition of Feynman path
integrals as particular cases of oscillatory integrals on infinite dimensional spaces, to which …
integrals as particular cases of oscillatory integrals on infinite dimensional spaces, to which …
Path integrals, asymptotics, and singular perturbations
DW McLaughlin - Journal of Mathematical Physics, 1972 - pubs.aip.org
In this paper we evaluate several Feynman path integrals asymptotically with respect to
various parameters in order to gain mathematical insight into the asymptotic evaluation of …
various parameters in order to gain mathematical insight into the asymptotic evaluation of …
A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals
S Albeverio, S Mazzucchi - 2018 - ems.press
An unified approach to infinite dimensional integration in terms of linear continuous
functional is presented, including the cases of both probabilistic and oscillatory integrals …
functional is presented, including the cases of both probabilistic and oscillatory integrals …
[图书][B] Wave Packet Analysis of Feynman Path Integrals
F Nicola, SI Trapasso - 2022 - Springer
This book provides an accessible and essentially self-contained presentation of some
mathematical aspects of Feynman path integrals in non-relativistic quantum mechanics. In …
mathematical aspects of Feynman path integrals in non-relativistic quantum mechanics. In …