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Derivation of macroscopic evolution equations from many body quantum mechanics.
Student-Run Research SeminarSpeaker: | Benjamin Schlein, UC Davis |
Location: | 2112 MSB |
Start time: | Wed, Feb 28 2007, 12:10PM |
In this talk I am going to illustrate some mathematical results related to the study of the dynamics in quantum mechanical models of many interacting particles. In particular, I am going to illustrate the main ideas behind the rigorous derivation of the nonlinear Hartree equation and the nonlinear Gross-Pitaevskii equation in different situations of physical interest. At the end of the talk I am going to present some open problems.