Code: | F 321 |
Department: | Department of Theoretical Physics |
Course director: | György Papp |
Credits: | 3 |
Semester: | 3rd |
Hours/week: | 2+1 |
Prerequisities: | Mechanics, Waves and Optics |
Type of assessment: | K, G |
Course description:
Postulates of Newtonian mechanics,
the principle of the newtonian determination. Dynamical systems, existence
and uniqueness of the solutions. Accelerating-rotating reference systems.
The symmetries of the equations motions, first integrals, qualitative and
quantitative study of one-dimensional motions, phase portraits. Oscillations.
Motion in a central field. Mechanics of point systems, first integrals
and the Galilei group. The two-body-problem. Constrained motions. The principle
of virtual work. The general equation of dynamics, Lagrange's equations
of first and second kind. Transformations of the general coordinates. Symmetries
and conservation laws, Noether's theorem. Small oscillations: normal coordinates.
Hamilton's principle of the least action. General properties of the Langrange
function, space-time symmetries and conservation theorems. Gauge transformation.
Hamilton functions, canonical equations. Canonical transformation. The
Hamilton-Jacobi differential equation.
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