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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
56
votes
6
answers
15k
views
(How) is category theory actually useful in actual physics?
An answer to a recent question motivated the following question:
(how) is category theory actually
useful in actual physics?
By "actual physics" I mean to refer to areas where the underlying t …
16
votes
3
answers
2k
views
Are there any known quantum algorithms that clearly fall outside a few narrow classes?
I'm trying to refresh myself on quantum algorithms and have been skimming Childs and van Dam's 2008 RMP paper among other things. From my preliminary surfing it looks like the known quantum algorithms …
20
votes
2
answers
3k
views
Why don't existence and uniqueness for the Boltzmann equation imply the same for Navier-Stokes?
As I understand it, Lions and DiPerna demonstrated existence and uniqueness for the Boltzmann equation. Moreover, this paper claims that
Appropriately scaled families of
DiPerna–Lions renormaliz …
4
votes
1
answer
267
views
What is known about first return times to Markov partitions for Anosov diffeomorphisms?
Consider an Anosov diffeomorphism $T: M \rightarrow M$ and a corresponding Markov partition $\mathcal{R}$ of $M$. For $x \in M$, let $\mathcal{R}(x)$ denote the element of $\mathcal{R}$ containing $x$ …