On the Pekar process and its connection with the polaron problem: Lecture 1

The polaron describes an electron coupled to a polar crystal. A particular Hamiltonian was proposed by Herbert Froehlich. Already Feynman formulated the problem in terms of path integrals which leads to a three dimensional Brownian motion with a singular, and attractive, interaction kernel. By a simple rescaling, this can be viewed as one-dimensional statistical mechanics model with a Kac-type interaction.

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