V5B3 - Advanced Topics in PDE and Mathematical Models
Semiclassical methods in statistical and quantum mechanics
Prof M. Disertori
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Time and place:
Wednesday 10(c.t.)-12 Endenicher Allee 60 SemR 1.008
Friday 10(c.t.)-12 Endenicher Allee 60 N 0.008-Neubau
the first lecture will take place on Friday 11 April
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Description: see here
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Lecture notes: the lecture notes can be found here. The file will be updated regularly.
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Prerequisites: Functional analysis. Some basic knowledge in probability/physics may be useful but is not necessary.
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Bibliography
B. Helffer: ‘Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics’, Series on Partial Differential Equations and Applications Vol 1, World Scientific
Chapter 1.2 (Gaussian measures) and Chapter 3.1 (Laplace method) of the lecture notes from Winter Semester 2024/2025