Mechanics 2, lecture (spring 201920)
Lectures are in ENGLISH.
Time and place: Mondays: 10:1512:00 (F3M01)
Lecturer: Gergely Zarand
Subjects to be covered:

Relativistic mechanics: fourvectors, fourvelocity and fourmomenta, Minkovskigeometry, relativistic action, equations of motion in a magnetic field.

Continuum mechanics: Lagrangian density, energymomentum tensor, Quantummechanics, as a classical field theory, Noethercurrents.

Canonical transformations, Poisson brackets, integrals of motion and symmetries.

The HamiltonJacobi formalism, actionangle variables, tori and integrable systems.

Principles of chaos and nonintegrable motion.
Grades:

Prerequisite for exam/grade: a valid grade from the Mechanics 2, practical course.

Grades can be obtained by taking a written test. Those who could not pass the written test may try to pass by taking an oral exam.

Both oral and written exams begin with one entrance question. This must be answered flawlessly in order to continue the exam. The list of possible entrance questions is given below.

Oral exam: starts with one entrance question, then two subjects are drawn from the list of subjects (see below). You must pass in both subjects for a successful oral exam.

Tests can be taken in Hungarian (questions will be asked in English, but you may answer in Hungarian).
List of subjects for exam: mechanika2vta.pdf (to be updated)
Entrance questions: mecha2entrance.pdf (to be updated)
Lecure notes (for private use)
Relativistic mechanics: Lectures_1_4
Literature:
Useful reading:
John Robert Taylor, Classical Mechanics (University Science Books)
Tom W. B. Kibble & Frank H. Berkshire, Classical Mechanics (Imperial College Press)
Some Hungarian lecture notes:
Keszthelyi Tamás jegyzete
TörökOroszUnger jegyzet
For deeper knowledge:
H. Goldstein: Classical Mechanics (AddisonWesley)
V.I. Arnold: Mathematical Methods of Classical Mechanics (Springer)
H.C. Corben and P. Stehle: Classical Mechanics (Dover Publications)