BGU Physics Department

Analytical Mechanics

(4.0 points, 5 hours)

course number 203-1-2281

Links

• Course information
• Main web page

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• Review of Newton laws.
• Generalized coordinates.
• The principle of least action, constraints.
• The Lagrangian for free particle and for a system of particles.
• Conservation laws (energy, momentum, angular momentum).
• The virial theorem.
• Motion in one dimension.
• The two body problem.
• Motion in a central field and Kepler's problem.
• Scattering, total and differential cross sections.
• Rutherford's formula.
• Small oscillations, forced and damped oscillations.
• Motion of a rigid body, the Inertia tensor.
• Space and body frames the Coriolis effect.
• The rotation group, infinitesimal and finite rotations.
• Euler's angles, and Euler's equations.
• Symmetric and asymmetric tops.
• The Hamiltonian and Hamilton's equations.
• Canonical transformations and the Poisson brackets.
• Liouville's theorem.
• The Hamilton-Jacobi equation.

Sources

1. Goldstein, Poole, Safko - Classical Mechanics.
2. Landau, Lifshitz - Machanics

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 Name                    Last modified      Size  Description
 Parent Directory                             -   
 2017A/                  2019-05-23 11:19    -   
 2018A/                  2019-05-23 11:19    -   
 2019A/                  2019-12-09 11:11    -   
 2020A/                  2019-12-12 12:14    -   
 ActiveSemester.txt      2019-10-22 12:37  192   
 EXERCISES/              2019-11-06 20:25    -   
 Evaluation/             2017-12-26 20:28    -