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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Exam dates: 24-25.7 (first session), 29.09 (second session)

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Lecture notes:  the lecture notes can be found  here. This file contains at the moment  only  part  of the lecture material. A scan of some handwritten notes for the remaining lectures can be found here.  

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Bibliography

Lecture notes on NLPDE1 (Winter Semester 2023/2024)  

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 

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Prerequisites: Functional analysis. Some basic knowledge in probability/physics may be useful but is not necessary.