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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
2
votes
Accepted
What is the finite-temperature orthogonal/symplectic Tracy-Widom distribution?
This is not a complete answer, but more of an approach and an invitation to look at the relevant literature. As you write, you would like to insert the so-called Fermi factor into the Fredholm Pfaffia …
6
votes
Accepted
Formula for $U(N)$ integration wanted
To expand on my comments, this paper https://arxiv.org/pdf/hep-th/9209083v2.pdf by Shatashvili deals
with ``correlation functions'' of Haar unitary matrices of the form
$$
\int_{U(N)}^{} d\mu(U) e_{}^ …