Magnetic Heat Kernel Asymptotics

Abstract

In this work, we perform a large deviation analysis for heat kernels corresponding to magnetic Schroedinger operators. Our main tool is decomposing the Hilbert space L^2 into angular momentum sectors, thereby getting an appropriate Generalized Feynman-Kac formula with additional point-like diffusion processes. Thereafter, we perform an asymptotic analysis by finding the large deviation rate function for these processes.