FPFVA015 Special Relativity

Filozoficko-přírodovědecká fakulta v Opavě
zima 2018
Rozsah
0/1/0. 5 kr. Ukončení: z.
Vyučující
RNDr. Pavel Bakala, Ph.D. (cvičící)
doc. RNDr. Stanislav Hledík, Ph.D. (cvičící)
RNDr. Kateřina Klimovičová, Ph.D. (cvičící)
Garance
RNDr. Pavel Bakala, Ph.D.
Filozoficko-přírodovědecká fakulta v Opavě
Omezení zápisu do předmětu
Předmět je nabízen i studentům mimo mateřské obory.
Mateřské obory/plány
Cíle předmětu
Recap of Newtonian mechanics. Coordinate system, absolute time and absolute distance inertial system, Newton's equations of motion, mass, Galileo's principle of relativity, Galileo transformation and covariance of Newton's equations of motion, actio in distans disruption of Galileo's principle of relativity by electromagnetic phenomena, covariance failure of Maxwell equations under the Galilei transformations ether, attempts to detect movement of the Sun and the Earth to ether, Michelson experiment. Postulates of the special theory of relativity. Inertial system, Einstein's relativity principle, the principle of universality of the speed of light, clock synchronization, relativity of simultaneity, the definition of length, time dilation and its experimental evidence, length contraction. Kinematics of the special theory of relativity. Lorentz transformation, special Lorentz group transformations components of velocity and acceleration, spacetime interval and the light cone, causality Lorentz transformation for an arbitrary direction of the velocity (boost) and its properties infinitesimal Lorentz transformation. Minkowski spacetime. Geometric interpretation of the special Lorentz transformations, world lines, world tubes surfaces and hypersurfaces in spacetime, general Lorentz group and its subgroups tensors in Minkowski spacetime, the metric tensor, tensor transformation properties 4-velocity and 4-acceleration integration in Minkowski spacetime. Relativistic mechanics and electrodynamics. Action functional and Lagrangian., Maxwell's equations and the equation of motion for charge in an electromagnetic field mass, energy and momentum, 4-momentum force, 4-force, Lorentz 4-force,4-vector of current density, 4-potential, 4-tensor of the electromagnetic field, reformulation of Maxwell's equations in covariant form,field invariants, transformation of elecromagnetic field,plane electromagnetic wave, the wave 4-vector, Doppler effect and aberration, optical appearance of objects moving at relativistic speed.
Osnova
  • The lecture introduces the basics of the special theory of relativity.
Vyučovací jazyk
Angličtina
Informace učitele
The student will submit a 2-3 page reflection paper in which he/she will reflect on any issues relating to special relativity. The topic will be chosen individually with respect to his/her professional interests.
Oral examination: presentation on the chosen reflection paper topic, participation in the discussion
Další komentáře
Předmět je dovoleno ukončit i mimo zkouškové období.
Předmět je zařazen také v obdobích zima 2015, zima 2016, zima 2017, zima 2019, léto 2020, zima 2020, léto 2021, zima 2021, léto 2022.