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| Subject: | Physics |
| Topic: | General Physics |
| Views: | 127,033 |
Educator
| Name: | National Programme on Technology Enhanced Learning (NPTEL) |
| Type: | University |
More Physics Courses
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
Video Lectures & Study Materials
Comments
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Lecture 4 is missing. Its running lecture 3 again. Please
fix.
These are very useful lectures. The prof certaintly knows
his stuff.
For me great revision with extra insights.
These are very useful lectures. The prof certaintly knows
his stuff.
For me great revision with extra insights.
Prof. Balakrishnan uses differentials and partial
derivatives throughout as the primary tool to drive the
lecture. He changes variables among thermodynamic potentials
as a first example then defines the Legendre transformation
which changes between the Hamiltonian and the Lagrangian. He
covers constants of motion, understands the Hamiltonian as
steering/driving time changes in a system, defines the
Poisson bracket as a bilinear operation on phase space
variables, gives the Jacobi identity and briefly introduces
the definition of a Lie algebra. He writes a Hamiltonian
system in matrix form using the so-called symplectic
gradient. He shows that the Poisson bracket is precisely the
symplectic dot product of gradients, and hence shows the
importance of symplectic geometry in phase space. He defines
conjugate pairs of phase space variables using the Poisson
bracket. Finally, he summarizes via examples of a simple
harmonic oscillator and a charged particle in an
electromagnetic field.
Prof. Balakrishnan uses differentials and partial
derivatives throughout as the primary tool to drive the
lecture. He changes variables among thermodynamic potentials
as a first example then defines the Legendre transformation
which changes between the Hamiltonian and the Lagrangian. He
covers constants of motion, understands the Hamiltonian as
steering/driving time changes in a system, defines the
Poisson bracket as a bilinear operation on phase space
variables, gives the Jacobi identity and briefly introduces
the definition of a Lie algebra. He writes a Hamiltonian
system in matrix form using the so-called symplectic
gradient. He shows that the Poisson bracket is precisely the
symplectic dot product of gradients, and hence shows the
importance of symplectic geometry in phase space. He defines
conjugate pairs of phase space variables using the Poisson
bracket. Finally, he summarizes via examples of a simple
harmonic oscillator and a charged particle in an
electromagnetic field.
Prof. Balakrishnan uses differentials and partial
derivatives throughout as the primary tool to drive the
lecture. He changes variables among thermodynamic potentials
as a first example then defines the Legendre transformation
which changes between the Hamiltonian and the Lagrangian. He
covers constants of motion, understands the Hamiltonian as
steering/driving time changes in a system, defines the
Poisson bracket as a bilinear operation on phase space
variables, gives the Jacobi identity and briefly introduces
the definition of a Lie algebra. He writes a Hamiltonian
system in matrix form using the so-called symplectic
gradient. He shows that the Poisson bracket is precisely the
symplectic dot product of gradients, and hence shows the
importance of symplectic geometry in phase space. He defines
conjugate pairs of phase space variables using the Poisson
bracket. Finally, he summarizes via examples of a simple
harmonic oscillator and a charged particle in an
electromagnetic field.
Prof. Balakrishnan uses differentials and partial
derivatives throughout as the primary tool to drive the
lecture. He changes variables among thermodynamic potentials
as a first example then defines the Legendre transformation
which changes between the Hamiltonian and the Lagrangian. He
covers constants of motion, understands the Hamiltonian as
steering/driving time changes in a system, defines the
Poisson bracket as a bilinear operation on phase space
variables, gives the Jacobi identity and briefly introduces
the definition of a Lie algebra. He writes a Hamiltonian
system in matrix form using the so-called symplectic
gradient. He shows that the Poisson bracket is precisely the
symplectic dot product of gradients, and hence shows the
importance of symplectic geometry in phase space. He defines
conjugate pairs of phase space variables using the Poisson
bracket. Finally, he summarizes via examples of a simple
harmonic oscillator and a charged particle in an
electromagnetic field.
I with pleasure have started to look lectures. It is
interesting, where it is possible to take the literature on
the questions considered in lectures?
I with pleasure have started to look lectures. It is
interesting, where it is possible to take the literature on
the questions considered in lectures?
excellent videos! talks about everything you need to know
about classical physics before jumping to quantum mechanics.
Has a lot to teach.