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Statistical Mechanics

Statistical Mechanics. Instructor: Prof. Ashwin Joy, Department of Physics, IIT Madras. The course is designed to give the students a firm understanding of statistical mechanics at the advanced undergraduate/beginning graduate level. After a discussion of the concepts of probability, the postulates of classical mechanics are developed in various ensembles of physical relevance. The ideas thus developed for the classical systems will be shown to have serious limitations when applied to quantum systems. Finally, we develop the correct theory of statistical mechanics for quantum systems and show that classical results can be recovered from the quantum theories in the high temperature - low density limit. (from nptel.ac.in)

Lecture 07 - Central Limit Theorem


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Lecture 01 - Discrete Probability
Lecture 02 - Continuous Probability
Lecture 03 - Characteristic Function
Lecture 04 - Gaussian Distribution
Lecture 05 - Binomial Distribution
Lecture 06 - Poisson Distribution
Lecture 07 - Central Limit Theorem
Lecture 08 - Many Random Variables
Lecture 09 - Entropy and Probability
Lecture 10 - Entropy Maximization
Lecture 11 - Transformation of Random Variables
Lecture 12 - Tutorial
Lecture 13 - Mathematical Preliminaries
Lecture 14 - Microcanonical Ensemble
Lecture 15 - Two Level System (Microcanonical Ensemble)
Lecture 16 - Classical Ideal Gas (Microcanonical Ensemble)
Lecture 17 - Entropy of Mixing
Lecture 18 - Classical Ideal Gas (Canonical Ensemble)
Lecture 19 - Gibbs Canonical Ensemble
Lecture 20 - Canonical Ensemble
Lecture 21 - Classical Ideal Gas (Gibbs Canonical Ensemble)
Lecture 22 - Two Level System (Canonical Ensemble)
Lecture 23 - N Spins in a Uniform Magnetic Field
Lecture 24 - Grand Canonical Ensemble
Lecture 25 - Ideal Gas (Grand Canonical Ensemble)
Lecture 26 - N Non-interacting Spins in Constant Magnetic Field
Lecture 27 - Quantum Statistical Mechanics
Lecture 28 - Statistics of Fermions and Bosons
Lecture 29 - Quantum to Classical Correspondence
Lecture 30 - Vibrations of Solid (Low Temperature)
Lecture 31 - Vibrations of Solid (cont.)
Lecture 32 - Free Electrons (Fermi Gas) in a Metal
Lecture 33 - Free Electrons (Fermi Gas) in a Metal (cont.)
Lecture 34 - Problem Solving Demo
Lecture 35 - Problem Solving Demo (cont.)