The Feynman integrand as a Hida distribution

M De Faria, J Potthoff, L Streit - Journal of mathematical physics, 1991 - pubs.aip.org
As a practical tool, the Feynman integral has had an enormous range of applications in
virtually all branches of quantum physics. At the same time, on the mathematical level it is a …

Feynman integrals as Hida distributions: the case of non-perturbative potentials

M Grothaus, L Streit, A Vogel - arXiv preprint arXiv:0805.3253, 2008 - arxiv.org
Hida distributions as candidates for Feynman Integrands In this section we construct a
Hida distribution as a candidate for the Feynman integrand. First we list which properties …

White noise approach to Feynman integrals

T Hida - Journal of the Korean Mathematical Society, 2001 - koreascience.kr
… As was mentioned before, our setup for Feynman's path integral has effectively been applied
to systems with various Lagrangians and generalizations of the theory have been reported; …

Theory of distribution in the sense of Connes–Hida and Feynman path integral on a manifold

R Léandre - Infinite Dimensional Analysis, Quantum Probability and …, 2003 - World Scientific
… We clarify this remark in the case of a Feynman path integral on a manifold. … and we can
state that the Feynman path integral (2.15) is still a Hida distribution with this enlarged Hida test …

Constructing the Feynman integrand

DC Khandekar, L Streit - Annalen der Physik, 1992 - Wiley Online Library
… Recently general conditions have been given which imply the existence of the Feynman
integral as a Hida distribution. Here we perform an explicit construction of these distributions for …

Stochastic interpretation of Feynman path integral

Z Haba - Journal of Mathematical Physics, 1994 - pubs.aip.org
… and Hida calcul~s’~). The Feynman integral as a generalized Wiener functional (ie, a
distribution) in infinite number of dimensions has been discussed in Ref. 18. There is still the …

The Feynman integral-recent results

L Streit - BSST93, 1993 - World Scientific
… earlier results on the Feynman integral in terms of White Noise… construction of Feynman
integrands as Hida distributions. … of the Feynman integrand 16 as a Hida distribution has been …

Gaussian white noise analysis and its application to Feynman path integral

HP Suryawan - AIP Conference Proceedings, 2016 - pubs.aip.org
… Instead of giving meaning to the Feynman integral we define the Feynman integrand as a
Hida distribution. By taking the generalized expectation with respect to the white noise …

[图书][B] Introduction to Hida distributions

S Si - 2011 - books.google.com
… and they have developed to Hida distributions. In order to establish … in Feynman path integrals.
The original paper is written by T. … We now come to the differential and integral calculus. …

A new Wick formula for products of White Noise distributions and application to Feynman path integrands

A Vogel - 2010 - kluedo.ub.rptu.de
Feynman integrand exists as a Hida distribution or is in the larger space of Kondratiev
distributions. … ), we are able to construct the corresponding Feynman integrands with help of the …