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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

6 votes

Applications of nonconstructive mathematics

One of the simplest is the monotone convergence principle, that every bounded increasing sequence of rationals is convergent. Along with Henry Towsner's example of the Ergodic theorem there is Doob's …
6 votes
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Quantum field theory in Solovay-land

I don't know anything about the space of all distributions dual to smooth test functions, but do know a fair bit about computable measure theory (from a certain perspective). First, you mention tha …
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