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Theoretical Mechanics

IIT Guwahati, , Prof. Dr. Charudatt Y. Kadolkar

Updated On 02 Feb, 19

Overview

This course focuses on analytical aspects of classical mechanics and is targeted towards the audience who are interested in pursuing research in Physics. Various formulations of mechanics, like the Lagrangian formulation, the Hamiltonian formulation, the Poisson bracket formulation will be taught in the course. The course also introduces the mechanics of continuous systems and fields.

Includes

Lecture 16: Lec 16: Canonical Transformations

4.1 ( 11 )

Lecture Details

Course Details

COURSE LAYOUT

Week 1: Motion and Constraints, Generalized Coordinates, DAlemberts Principle of Virtual Work
Week 2: Variational Calculus, Hamiltons Principle, Lagrangian Formulation.
Week 3: Application of Lagrangian Formulation, Configuration Space and Phase Space.
Week 4: Hamiltons Equations of Motion
Week 5: Cannonical Transformations, Cannonical invariants, Symplectic Approach to CT.
Week 6: Poisson Bracket Formulation, Symmetry groups of Mechanical Systems, Liouvilles Theorem
Week 7: Hamilton Jacobi Theory, Hamiltons Principal Fucntion, Action-Angle variables.
Week 8: Lagrangian and Hamiltonian Formulation for Continuous Systems and Fields.

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Comments
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Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

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Dembe

March 29, 2019

Great course. Thank you very much.

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