Mechanics 2, lecture (spring 2020-21)
Lectures are in ENGLISH.
Time and place: Mondays: 10:15-12:00 (F3M01)
Lecturer: Attila Virosztek (https://dept.physics.bme.hu/Virosztek_Attila?language=en)
Subjects to be covered:
-
Relativistic mechanics: four-vectors, four-velocity and four-momenta, Minkovski-geometry, relativistic action, equations of motion in a magnetic field.
-
Continuum mechanics: Lagrangian density, energy-momentum tensor.
-
Noether theorem, canonical transformations, Poisson brackets, integrals of motion and symmetries.
-
The Hamilton-Jacobi formalism, action-angle variables, tori and integrable systems.
-
Principles of chaos and non-integrable 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
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)
