The Feynman Integrand for the Perturbed Harmonic Oscillator as a Hida Distribution
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. We show that the Feynman integrand for the harmonic oscillator in an external potential is a Hida distribution.
Cite
@article{arxiv.math-ph/0303005,
title = {The Feynman Integrand for the Perturbed Harmonic Oscillator as a Hida Distribution},
author = {Mario Cunha and Custodia Drumond and Peter Leukert and Jose Luis Silva and Werner Westerkamp},
journal= {arXiv preprint arXiv:math-ph/0303005},
year = {2007}
}