Mechanics 2, lecture (Spring 2021-22)
Lectures are in ENGLISH.
Time and place: Mondays: 10:15-12:00 (F3M01)
Lecturer: Gergely Zaránd ( web page )
Subjects to be covered:
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Relativistic mechanics: four-vectors, four-velocity and four-momenta, Minkovski-geometry, relativistic action, equations of motion in a magnetic field.
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Continuum mechanics: Lagrangian density, energy-momentum tensor.
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Noether theorem, canonical transformations, Poisson brackets, integrals of motion and symmetries.
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The Hamilton-Jacobi formalism, action-angle variables, tori and integrable systems.
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Principles of chaos and non-integrable motion.
Grades:
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Prerequisite for exam/grade: a valid grade from the Mechanics 2, practical course.
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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.
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Both oral and written exams begin with one entrance question/problem. This must be answered flawlessly in order to continue the exam. The list of possible entrance questions is given below (may be slightly modified according to the precise content of the course).
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Oral exam: starts with one entrance question/problem, then two subjects are drawn from the list of subjects (see below). You must pass in both subjects for a successful oral exam.
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Tests can be taken in Hungarian (questions will be asked in English, but you may answer in Hungarian).
List of subjects for exam: List of subjects 2022 in pdf
Entrance questions: mecha2entrance.pdf (to be updated)
Lecure notes
handed out via Teams (for private use)
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
Török-Orosz-Unger jegyzet
For deeper knowledge:
H. Goldstein: Classical Mechanics (Addison-Wesley)
V.I. Arnold: Mathematical Methods of Classical Mechanics (Springer)
H.C. Corben and P. Stehle: Classical Mechanics (Dover Publications)
