Statistical Modelling for the Problem related to the field of Classical and Quantum Mechanics. I'm trying to work each week in my spare time on some of the fields.
| Schedule | Topic | Short Desciption |
|---|---|---|
| Week 01 | Monte Carlo Algorithms | Direct sampling, Markov-Chain sampling and Sampling Error Estimation |
| Week 02 | Hard disks Modelling : Classical Mechanics to Statistical Mechanics | Connection of Monte Carlo and Molecular Dynamics algorithms, Partition function, Virial expansion and Equiprobability Principle |
| Week 03 | Entropic Interactions & Phase Transitions | Transition between a Liquid and a Solid, for a 2-Dimensional System |
| Week 04 | Sampling and integration | Sampling and its Connection with Integration, the Maxwell and Boltzmann Distributions of Velocities and Energies |
| Week 05 | Density Matrices & Path Integrals | Trotter approximation to consider non-trivial systems and to follow the time evolution of a system. |