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Lecturer(s)
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Hradil Zdeněk, prof. RNDr. CSc.
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Course content
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-Introduction to the physics of elementary particles -Lorentz transformation of the spacetime, special theory of relativity, covariant and contravariant symbology -Klein-Gordon equation and its interpretation from the viewpoint of relativistic quantum mechanics -Spinor representation of Lorentz group, Dirac equation and its mathematical solution, vacuum and antiparticles, algebra of gamma-matrices, non-relativistic limit -Maxwell equations in a covariant form -Variation principle and Lagrangian formalism, symmetry and calibration field -Noether's theorem and laws of conservation -Scalar complex field and electromagnetic field, interaction, Bohm-Ahronov effect, Yang-Mills field, field, geometry of calibration fields -Interpretation of equations of relativistic quantum mechanics in the terms of canonical quantization, scalar complex field -Canonical quantization of Dirac field, anticommutation rule and Fermi exclusion principle -Canonic quantization of electromagnetic field, calibration invariance, radiation and Lorentz calibration, Feymman path integral
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Learning activities and teaching methods
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Lecture
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Learning outcomes
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Introduction to the physics of elementary particles and relativistic quantum mechanics
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.
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Prerequisites
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Non relativistic quantum mechanics
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Assessment methods and criteria
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Mark
Knowledge within the scope of the course topics (examination)
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Recommended literature
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Formánek, J. (2000). Úvod do relativistické kvantové mechaniky a kvantové teorie pole. Karolinum, Praha.
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Ryder, L.H. (1997). Quantum Field Theory. Cambridge University Press, Cambridge, U.K.
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