Mathematical Foundations of Modern Quantum Many-Body Theory
Rensselaer Polytechnic Institute MATH 6940, Fall 2025
This is the official website for the reading course: Mathematical Foundations of Modern Quantum Many-Body Theory, held in Fall 2025
General information
Instructor: Fabian M. Faulstich
Time: Wed 2:00PM - 3:00PM Amos Eaton 436
Schedule
| Date | Topic | References | Presenter |
|---|---|---|---|
| 09/24 | Lattices | GY: 1, 2 | Kangbo Li |
| 10/01 | Bloch Theorem | GY: 7.1-7.3.0
M: 4.3-4.7 |
Chanaka Mapa Mudiyanselage |
| 10/08 | Discretization / Planewaves | M: 12.0-12.4 | Muhammad Talha Aziz |
| 10/15 | Wannier Functions | M: 21, 22 | Jerry Huang |
| 10/29 | Tight Binding Model | GY: 7.3.1-7.4 | Paul |
| 11/05 | Density Functional Theory | TBD | Talha |
| 11/12 | Hubbard | GY: 17.4 | Jerry |
| 11/19 | Determinant Quantum Monte Carlo (DQMC) | TBD | Chanaka |
| 12/03 | Auxiliary Field Quantum Monte Carlo (AFQMC) | TBD | Nilay Patel |
(GY) Modern Condensed Matter Physics by Steven M. Girvin and Kun Yang (M) Electronic Structure: Basic Theory and Practical Methods by Richard M. Martin
Notes
Notes from this reading group are summarized in a growing E-Book