Teaching at GSSI 2020
Title: "Second quantization of bosonic systems and Bose-Einstein condensation" (18 h)
Synopsis:
In the course, which fits as an undergraduate level course for a Master degree in Physics (it has been proposed as a PhD course in the Math area of GSSI), we talk about the second quantization of bosonic systems. From the many-body Schrodinger equation (for particles obeying the Bose-Einstein statistics) to the Hamiltonian in terms of bosonic field operators. Theory of statistical ensembles, equivalence of ensembles. Calculation of the grand canonical partition function for bosonic systems. Bose-Einstein condensation: a phase transition characterized by the breaking of ensembles equivalence. Nonlinear Schrodinger Equation (aka Gross-Pitaevskii equation) as a mean-field theory for a non-ideal Bose-Einstein condensate. Prerequisites: first courses in Hamiltonian mechanics, quantum mechanics, statistical mechanics.
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01) Lecture 31/03/20 Part I
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02) Lecture 02/04/20 Part I Part II
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03) Lecture 03/04/20 Part I Part II Part III
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04) Lecture 07/04/20 Part I Part II
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05) Lecture 09/04/20 Part I Part II
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06) Lecture 14/04/20 Part I Part II
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07) Lecture 17/04/20 Part I Part II Part III
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08) Lecture 21/04/20 Part I Part II
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09) Lecture 23/04/20 Part I Part II
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10) Lecture 24/04/20 Part I Part II
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