Remarks on low-energy approximations for Feynman path integration on the sphere
Mathematical Physics
2015-01-16 v5 math.MP
Abstract
We shall define the oscillatory integrals by action integrals, Van Vleck determinant and Dewitt curvature. Our method employs action integrals along the shortest paths. We have the strong but not uniform convergence of time slicing Feynman path integrals for low energy functions.
Cite
@article{arxiv.1310.1631,
title = {Remarks on low-energy approximations for Feynman path integration on the sphere},
author = {Yoshihisa Miyanishi},
journal= {arXiv preprint arXiv:1310.1631},
year = {2015}
}
Comments
14 pages. Comments appreciated