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# Classical Physics

### Course Description

Lecture Series on Classical Physics by Prof.V.Balakrishnan, Department of Physics, IIT Madras. Among the topics in the lectures are:

- Mass, Length and Time

- Classical Dynamics

- Harmonic Oscillator

- Harmonic Oscillator

- Dimensional dynamical systems

- Dimensional dynamical systems

- The Principles of the Equations of Motion

- Maxwell's Equations

- Lagrangian for a charged particle in a EM field

- Lagrangian and Hamiltonian Dynamics

- Hamiltonian Systems

- Integrability of Hamiltonian Systems

- Emmy Noether, Symmetry, Invariance and Conservation Laws

- 2D Isotropic Oscillators, The Kepler Problem, Introduction to Statistical Physics

- Integrable Systems: Periodic, Quasiperiodic, Ergotic, Mixing Motion, Exponential Instability, global - exponential instability

- Lyapunov Exponent

- Intermitency

- E.N. Lorenz

- Exponential Divergencies, Lyapunov Exponent, Bernoulli Map, Frobenius-Perron Equation

- Lyapunov Exponent, Baker's Map, Arnold's cat map, Gauss continued fraction map

- Statistical Mechanics: Isolated Systems, Fundamental Postulate of Equilibrium, Microcanonical Ensemble

- Binomial Distribution

- Relative Fluctuation

- Thermodynamics of Ideal Gases and its Statistic Mechanics

- Boltzmann's Formula

- Probability and Maxwellian Distributions, Moment generating function, Excess Kurtosis, Lévy alpha-stable distributions

- J.A. Shabat and J.D. Tamarkin, "The problem of moments"

- Maxwellian distributions, Gunbel, Weibull & Frechet distribution, Phase Diagrams

- Phase Diagrams, Model of Paramagnetism, dipole moment, Weiss molecular field theory

- Ferromagnetism, spontaneous magnetization, Landau Theory

- Landau Theory and critical exponents, Thermodynamic relations, Continuum limit of random walk

- Lie Groups, homomorphism, kernel

- Group of proper rotation in 3D, Parametrization by Euler angles, unitary matrices, Noether's theorem

- Symmetry, Invariance and Conservation laws (Noether's theorem), Principles of Relativity

- Lorentz invariance, Riemannian manifold, metric tensors, d'Alembertian operator

- EM Field tensor, dual tensor, Levi-Civita symbol in 4D, Lorentz transformations, time-like and space-like vectors

- Lorentz transformations in EM fields

For more details on NPTEL visit http://nptel.iitm.ac.in

**17**ratings

### Video Lectures & Study Materials

## Comments

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