4 citations · 7 across the 5 of their papers we have counts for
5 papers
Borel summation of the semi-classical expansion of the partition function associated to the Schrödinger equation
Thierry Harge
We prove that the partition function associated to a perturbation of the semi-classical harmonic oscillator is the Borel sum of its semi-classical expansion.
Some remarks on the complex heat kernel in the scalar potential case
Thierry Harge
In previous works, we used a so-called deformation formula in order to study, in particular, the Borel summability of the heat kernel of some operators. A goal of this paper is to…
A deformation formula for the heat kernel
Thierry Harge
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" m…
Borel summation of the small time expansion of the heat kernel with a vector potential
Thierry Harge
We study the Borel summability of the small time expansion of the heat kernel associated to a first order perturbation of a Laplacian. An explicit formula for this kernel plays a c…
Borel summation of the small time expansion of the heat kernel. The scalar potential case
Thierry Harge
We study the Borel summability of the small time expansion of the heat kernel for the Schrödinger operator in several dimensions. On the torus, we prove a Poisson formula.