Borel summation of the small time expansion of the heat kernel. The scalar potential case

2013/01/31 by Thierry Hargé, Thierry Harge, Harge, Thierry · 2 citations
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1301.7742

arxiv created 2013/01/31 · arxiv updated 2013/02/01

Abstract

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.

Cited by

• Some remarks on the complex heat kernel in the scalar potential case
• Borel summation of the semi-classical expansion of the partition function associated to the Schrödinger equation

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