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April 27, 2023

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Description

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)

Course Curriculum

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

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