Abstract
The polaron functional integral has its origin in the quantum mechanics of an electron coupled to a polar crystal. We disregard here this origin, which is fairly extensively discussed in [1] with references to the original work. Rather we want to focus on the mathematical structure of the polaron functional integral and on its relation to statistical mechanics models and to random motion in random environments. We summarize the few rigorous results and list some challenging open problems.
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Spohn, H. (1990). The Polaron Functional Integral. In: Albeverio, S., Streit, L., Blanchard, P. (eds) Stochastic Processes and their Applications. Mathematics and Its Applications (Soviet Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2117-7_21
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DOI: https://doi.org/10.1007/978-94-009-2117-7_21
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