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2019-CM @ HCU :: Lessons

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This course was very similar to a course given in summer of  2018 See  2018 CM@HCU
The course was be covered in nine parts. The syllabus for different parts is as follows.

Part-1 From Newton to Euler Lagrange EOM

        Review of Newtonian Mechanics
        Euler Lagrange Equations
        Energy Conservation, Cyclic coordinates
        Reducing Solution to Quadratures        

Part-2 Action Principle 

        Hamilton's Principle
         Noether's Theorem; Examples
         

Part-3 Small Oscillations

        Small Oscillations in One Dimension
        An Exmaple in Two Dimension
        Normal coordinates and Normal Modes of Vibration
        Lagrangian Formalism; Examples

Part-4 Hamiltonian Form of Dynamics

        Hamiltonian Form of Dynamics; Poisson Brackets;
        Variational Principle in Phase Space

Part-5  Spherically symmetric potentials in three dimensions

         General Properties of Motion
         Solving Equation of Motion
         Keplar Problem, Bounded Orbits
         Unbounded orbits

Part-6  Scattering

        FLux, Scattering, Total Cross Section, Differential Cross Section
        Cross Section for Waves;
        Why call it Cross Section?
        Computing Cross Section
        Lab and Center of Mass Frames

Part-7 Non-Inertial Frames

        Galiliean Transformations;
        Accelerated Frames
        Rotation Group;
        Motion in a Rotating Frame
        Centrifugal and Coriolis Forces;
        Examples

Part-8 Canonical Transformations

        Action Principle in Phase Space;
        Canonical Transformations and Poisson Brackets;
        Four Types of Generators
        Infinitesimal Canonical Transformations

Part-9 Hamilton Jacobi Theory

Hamilton Jacobi Equation
Hamilton's Principal Function
Jacobi's Complete Integral


 More lessons will be made available in due courseourse


 

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  • This  collection has a variety of archived  teaching resources.
  • Contributed by friends colleagues and by some of my teachers at different institutions. 
  • Resources of  selected courses given by me at different  institutions.
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This is  proofs archive. This  collection  is planned to have :

(A)  Set of resources used for courses offered at different institutions  and made available by teachers, friends and colleagues acknowledged for their love, passion and excellence in teaching.

(B) Selected scanned resources  for found useful for  different  courses in  more than one  area of Physics and more ...

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