By Author Unknown

it truly is relatively popular that one in all Hilbert’s well-known record of difficulties is that of constructing an axiomatic concept of mathematical likelihood conception (this challenge can be acknowledged to were solved through Khintchine, Kolmogorov, and
Levy), and likewise one of the checklist is the “axiomatization of physics.” what's no longer so renowned is that those are elements of 1 and an identical challenge, particularly, the 6th, and that the axiomatics of likelihood are mentioned within the context of the rules of statistical mechanics. even supposing Hilbert couldn't have recognized it whilst he formulated his difficulties, likelihood conception is additionally important to the rules of quantum conception. during this publication, I desire to describe a truly varied interface among likelihood and mathematical physics, specifically, using sure notions of integration in functionality areas as technical instruments in quantum physics. even supposing Nelson has proposed a few connection among those notions and foundational questions, we will deal exclusively with their use to respond to various questions in
conventional quantum theory.

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Functional Integration and Quantum Physics (Pure and Applied Mathematics) by Author Unknown

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