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HU Credits:
6
Degree/Cycle:
1st degree (Bachelor)
Responsible Department:
Physics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr. Rivka Bekenstein
Coordinator Office Hours:
Monday 0900
Teaching Staff:
Dr. Rivka Bekenstein,
Ms. Noemie Livne,
Mr. Ariel Kelman
Course/Module description:
A course in analytical mechanics
Course/Module aims:
See learning outcomes
Learning outcomes - On successful completion of this module, students should be able to:
Solve mechanics problems using Lagrangian and Hamiltonian formalisms.
Attendance requirements(%):
NA
Teaching arrangement and method of instruction:
Lecture and recitation, and weekly problem sets.
Course/Module Content:
The course will describe advanced analytical methods in mechanics developed in the 18th-19th centuries, namely the Lagrangian (action) formulation and the Hamiltonian (phase space) formulation. These methods supplement the Newtonian formulation both conceptually and in problem solving abilities. In addition they play a key role in 20th century physical theories including quantum mechanics and field theory.
Subjects within the Lagrangian formulation: Newtonian Mechanics, generalized coordinates, Lagrangian formulation, variational calculus, and the action; elementary examples for action level analysis; equilibrium points and small oscillations; symmetry and conservation laws (Noether's theorem); elimination of a cyclic coordinate at the level of the action; Legendre transform and Lagrange multipliers. The two-body problem. Perturbation theory.
Hamiltonian formulation: Hamiltonian and Hamilton's equations, phase space; symplectic structure and Poisson brackets. Hamilton-Jacoby equation and separation of variables.
Required Reading:
None
Additional Reading Material:
• הקורס מבוסס על רשימות הקורס המבוססות בתורן על הספרים שבהמשך. חומרים מסוימים של הקורס יופיעו באתר הקורס במערכת moodle http://moodle.huji.ac.il .
• Classical Mechanics, H. Goldstein,C. Poole and J. Safko (2002)
• Mechanics, Landau & Lifshitz (1960)
• Analytical Mechanics, L. Hand and J. Finch (1998)
)
Grading Scheme :
Written / Oral / Practical Exam 90 %
Submission assignments during the semester: Exercises / Essays / Audits / Reports / Forum / Simulation / others 10 %
Additional information:
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