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Main menu for Browse IS/STAG
Course info
KEF / TR
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Course description
Department/Unit / Abbreviation
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KEF
/
TR
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Academic Year
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2024/2025
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Academic Year
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2024/2025
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Title
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Theory of Relativity
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Form of course completion
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Colloquium
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Form of course completion
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Colloquium
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Accredited / Credits
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Yes,
3
Cred.
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Type of completion
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Combined
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Type of completion
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Combined
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Time requirements
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Přednáška
2
[Hours/Week]
Exercise
1
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
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No
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Automatic acceptance of credit before examination
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No
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Included in study average
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NO
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Language of instruction
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Czech, English
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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NO
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Summer semester
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Semester taught
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Summer semester
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Minimum (B + C) students
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not determined
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech, English
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
S|N |
Periodicity |
každý rok
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Periodicita upřesnění |
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Fundamental theoretical course |
Yes
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Fundamental course |
No
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Fundamental theoretical course |
Yes
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Evaluation scale |
S|N |
Substituted course
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KTF/TR
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Preclusive courses
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N/A
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Prerequisite courses
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KEF/EMG
or KEF/EMGU
or KEF/EMGX
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Meet all prerequisites before registering
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NO
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
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XLS
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Course objectives:
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The aim of the course is to show the role of special relativity in the physical picture of the world.
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Requirements on student
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- 50% class attendance in the exercise classes with at least one active performance of task solving
- Handing in of all the solved homework tasks
- Report on a selected topic
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Content
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- Introduction, space and time in non-relativistic physics, ether and basic experiments for its determination, Michelson-Morley experiment, Einstein postulates, Lorentz transformation and its consequences (length contraction, time dilatation, relativity of time and space, transformation of velocity)
- Minkowski spacetime, event, space-time interval and true time, light cone, world line, causal structure of the spacetime, four-dimensional formalism and four-vectors, tensors in Minkowski spacetime and important operations with them, Minkowski diagram, covariance principle
- Equations of relativistic dynamics of a particle, four-force and four-momentum, equivalence of mass and energy, basic equations of dynamics of a particle system, collisions and scattering of particles, stability of particles, bonding energy, annihilation of electron-pozitron pair, Compton scattering, tensor of angular momentum
- Speeds over speed of light and causality principle, paradoxes, appearance of moving objects, speeds under and over speed of light, paradox consequences of speeds over speed of light and tachyons, twin (time) paradox and other paradoxes, paradox of rotating disk and non-Euclidian geometry, relativistic aberration, relativistic Doppler effect, experimental verification of theory of relativity
- Four-current and four-potential, Lorentz calibration condition, wave equations for field potentials, tensors of electromagnetic field and Maxwell equations, their transformations and field invariants, Lorentz four-force and its density, plane harmonic electromagnetic wave, wave four-vector, tensor of energy and momentum of electromagnetic field, laws of conservation
- Poincaré groups and their subsets, Lorentz group mad restricted Lorentz group, infinitesimal Lorentz transformation, Lorentz transformation with arbitrary direction of velocity, boost, superposition of Lorentz transformations in perpendicular directions, Thomas precession, variation principles in relativistic mechanics
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Basic:
Richterek, L. Teorie relativity a astronomie. Olomouc: UP, 2013. ISBN 978-80-244-3335-6.
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Further literature:
Bajer, J. (2018). Optika 2. Olomouc: Vydavatelství Vladimír Chlup.
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Recommended:
Greiner, W., & Bromley, D. A. (2004). Classical mechanics: point particles and relativity. New York: Springer.
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Recommended:
Bartuška, K. Fyzika pro gymnázia ? Speciální teorie relativity. Praha: Prometheus, 2010. ISBN 978-80-7196-388-2.
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Recommended:
Halliday, D., Resnick, R., Walker, J. Fyzika 2. Brno: VUTIUM, 2013. ISBN 978-80-214-4.
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Recommended:
ROSSER, W.G.V. Introductory Special Relativity.. Taylor & Francis, London-New York-Philadelphia, 1991.
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Recommended:
TILLICH, J. Klasická mechanika. UP Olomouc, 1984.
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Recommended:
HORSKÝ, J.; NOVOTNÝ, J.; ŠTEFANÍK, M. Mechanika ve fyzice. Academia, Praha, 2001.
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Recommended:
Rindler, W. (2006). Relativity. Special, General, and Cosmological. Oxford University Press.
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Recommended:
Kvasnica, J. Teorie elektromagnetického pole. Academia, Praha, 1985.
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Recommended:
VOTRUBA, V. Základy speciální teorie relativity. Academia, Praha, 1977.
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On-line library catalogues
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Prerequisites - other information about course preconditions |
Knowledge at the level of basic undergraduate course of physics |
Competences acquired |
Knowledge Define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems. |
Teaching methods |
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Assessment methods |
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