Re:A Fight to Fix Symplectic Geometry
by balsam on Thursday February 16, 2017 @07:22AM
(#13659329)
Hi, I'm just getting started out in this area (background: quantum physics). Are there review papers or slides you would recommend? For the numerics. I'm somewhat familiar with Wehrheim and da Silva, but didn't realize that people were going into numerics already.
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Re:A Fight to Fix Symplectic Geometry
by thanatropism on Thursday February 16, 2017 @09:27PM
(#13665468)
On numerics: there are entire textbooks at a relatively elementary level (no differential geometry) with titles like "Simulating Hamiltonian dynamics". At the end of the day, verifying that a discrete map (approximating a Hamiltonian system) is symplectomorphic is a matter of linear algebra.
On theory: there are a couple of good lectures by Dusa McDuff on YouTube; she also has a short tutorial-like PDF somewhere googleable.