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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 Michael Moshe
Coordinator Office Hours:
By appointment
Teaching Staff:
Dr. Michael Moshe,
Mr. Linial Itai,
Ms. Noemie Livne
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(%):
90
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)
)
Course/Module evaluation:
End of year written/oral examination 87 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 13 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
Grade consists of 13 points from weekly problem sets, and 87 points from final exam.
If morbidity condition would not allow an examination in campus, final exam format will be based on an online exam.
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