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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 20 - Canonical Ensemble

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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.)