The course is meant to provide advanced undergraduate/beginning graduate students with a solid understanding of statistical mechanics. Following a review of probability principles, the classical postulates are presented.
Mechanics are developed in a variety of physical ensembles. The classical ideas that arose as a result of this process When used, systems will be proven to have significant limits.
As a result, ideas for the classical period arose. When applied to quantum systems, systems will be demonstrated to have major limitations. Finally, we create the appropriate show that classical outcomes can be retrieved from the theory of statistical mechanics for quantum systems the high temperature – low-density limit, quantum theories are used.
Week 01:Random Variables
Week 02:Cumulants & Moments
Week 03: Important Probability Distributions
Week 04:The principle of maximum entropy
Week 05:Ensemble Micro-canonical
Week 06:Canonical Ensemble
Week 07:Gibbs Canonical Ensemble
Week 08:The Canonical Grand Ensemble
Week 09:Particles with no mass form an ideal gas (Photons & Phonons)
Week 10:Real-Particle Ideal Gas (Fermions & Bosons)
Week 11:Metals and Electrons
Week 12:Quantum Gases’ Classical Limit