BGU Physics Department

Analytical Mechanics

(4.0 points, 5 hours)

course number 203-1-2281

Links

• Course information
• Main web page

---

• 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

---

Browse

 Name                    Last modified      Size  Description
 Parent Directory                             -   
 Class/                  13-Feb-2012 19:01    -   
 CourseData.txt          30-Oct-2011 09:55  475   
 CoursePlan.html         04-Oct-2010 17:49  5.8K  
 Ex/                     27-Feb-2012 13:02    -   
 ExercData.txt           13-Feb-2012 19:02  2.0K  
 Index.html              27-Feb-2012 13:02  3.4K  
 Old/                    04-Oct-2010 17:52    -   
 Sol/                    29-Dec-2011 13:02    -   
 gif/                    17-Oct-2009 14:00    -   
 messages.txt            08-Feb-2012 11:36  931   
 roster.html             01-Dec-2011 12:33  3.4K  
 submissions/            17-Jan-2012 20:14    -   

Apache/2.0.52 (Red Hat) Server at physweb.bgu.ac.il Port 80