A deformation formula for the heat kernel
Mathematical Physics
2013-02-08 v1 math.MP
Abstract
Let us consider a time-dependent differential operator quadratic with respect to the phase variables. Let us consider a multiplication operator defined with the help of a "small" matrix-valued function. Under suitable conditions, we give an "explicit" expression of "the" heat kernel associated to the sum of the two previous operators for small time.
Cite
@article{arxiv.1302.1810,
title = {A deformation formula for the heat kernel},
author = {Thierry Harge},
journal= {arXiv preprint arXiv:1302.1810},
year = {2013}
}