Snapshots in Mathematical Physics Group
The goal of this group is to review some classical unsolved problems in physics and study recent mathematical progress on them. Of interest include fundamental problems in fluid dynamics, plasma physics, quantum mechanics, and general relativity. Activities include weekly meetings, presentations, and seminars to go over relevant materials. Contact me if you're interested in joining the group.
The group will focus on problems in quantum mechanics, which meets weekly on Wednesdays 4-6pm, MB114 in person and via a zoom broadcast. The first meeting is on Aug 25th (organizational).
(Tentative) Presentation and lecture notes:
|Sep 1st||Toan||Overview on the subject||Slides and an old blog|
|Sep 15||Alex Vizcarra||Some physical background|
|Sep 22||Kieran Cavanagh||On the classical meanfield limit|
|Sep 29||Toan||Dispersion for meanfield equations||Blog|
|Oct 6||Chanjin You||I. Rodnianski and B. Schlein's paper|
|Oct 18||(Professor Benjamin Schlein's CAM colloquium)|
|Oct 27||Chanjin You||Convergence Towards Hartree Dynamics (after Rodnianski-Schlein)||Slides|
|Nov 3||Kieran Cavanagh||Golse's lecture notes (continued)|
|Nov 10||Toan||Strichartz estimates for Schrodinger equations|
|Nov 17||Toan||Scattering for nonlinear Schrodinger (e.g. Gross-Pitaevskii) equations|
Some suggested references:
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