A deformation formula for the heat kernel

2013/02/07 by Thierry Harge, Harge, Thierry
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1302.1810

arxiv created 2013/02/07 · arxiv updated 2013/02/08

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.

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