Advanced Topics in Computational Physics

Advanced Topics in Computational Physics: Computational Quantum Mechanics

About the course

Teaching schedule with links to material
Instructor information
Textbooks and practicalities

Basic Many-Body Physics

1. Many-body Hamiltonians, basic linear algebra and Second Quantization
2. Hartree-Fock methods
3. Full configuration interaction theory
4. Many-body perturbation theory

Stochastic Methods

5. Variational Monte Carlo methods
6. Gradient Methods
7. Resampling Techniques, Bootstrap and Blocking

Computational Aspects

8. Optimization and Vectorization
9. Parallelization with MPI and OpenMPI

Deep Learning

10. Linear Regression and more Advanced Regression Analysis
11. Logistic Regression
12. Support Vector Machines
13. Neural Networks
14. Boltzmann Machines

Quantum Computing and Quantum Machine Learning

15. Quantum Computing

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By Morten Hjorth-Jensen
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