Course detail
Modern Physics
FEKT-MPC-MFYAcad. year: 2023/2024
The postulates of relativity and their implications, the Lorentz transformation, world lines, relativistic energy and momentum. Quantization of energy, wave properties of particles, the uncertainty principle, Hermitian operators, Schrödinger equation, particles in potential fields, tunneling through a barrier, spin, principles of a laser, radiative transitions, band theory of solids.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
Aims
Students will have some familiarity with main ideas of relativity, with most of the important models of quantum mechanics and with theory of deterministic chaos.
Study aids
Prerequisites and corequisites
Basic literature
House J.E.: Fundamentals of Quantum Mechanics Academic Press, San Diego, London,..., 1998
Landshoff P., Metherell A.,Rees G.: Essential Quantum Physics Cambridge University Press,1999
Lubomír Skála: Úvod do kvantové mechaniky ACADEMIA 2005
Sartori L.: Understanding Relativity University of California Press, Berkeley, Los Angeles, London, 1996
Recommended reading
L.Eckertová: Cesty poznávání ve fyzice Prometheus Praha 2004
Serway R., A.: Physics for Scientists and Engineers with Modern Physics Saunders College Publishing, Philadelphia, London,..., 1996
Elearning
Classification of course in study plans
- Programme MPC-TIT Master's 1 year of study, winter semester, compulsory-optional
- Programme MPC-MEL Master's 1 year of study, winter semester, compulsory-optional
- Programme MPC-EEN Master's 1 year of study, winter semester, compulsory-optional
- Programme MPC-EAK Master's 1 year of study, winter semester, compulsory-optional
- Programme MPC-BIO Master's 0 year of study, winter semester, compulsory-optional
- Programme MPC-AUD Master's
specialization AUDM-ZVUK , 0 year of study, winter semester, elective
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
The Lorentz Transformation. Some Consequences of the Transformation Equations, the Transformation of Velocity.
World Lines. Relativistic Energy and Momentum.
Photons, Tachyons. The Main Ideas of General Relativity. Paradoxes of Relativity.
Blackbody Radiation, the Photoelectric Effect, the Compton Effect.
The Bohr Model for the Hydrogen Atom. The Wave Properties of Particles, the Uncertainty Principle, the Wave Function.
Hermitian Operators, Eigenvalues and Eigenfunctions of Operators.
The Schrödinger Equation,the Particle in a One-Dimensional Box, the Linear Harmonic Oscillator.
Tunneling through a Barrier, the Scanning Tunneling Microscope. Tunneling and Superconductivity. The Hydrogen Atom.
The Zeeman Effect, Spin, the Pauli Exclusion Principle.
Radiative Transitions, Absorption, Spontaneous and Stimulated Emission, Lasers.
Free-Electron Theory of Metals, the Fermi-Dirac Distribution Function, Band Theory of Solids.
Chaos in Conservative Systems, Deterministic Chaos.
Fundamentals seminar
Teacher / Lecturer
Syllabus
The Lorentz Transformation. Transformation of Velocity.
Space-Time Diagrams.
Relativistic Momentum and Energy.
Planck´s Law, the Photoelectric Effect, the Compton Effect.
The Bohr Model for the Hydrogen Atom. The Uncertainty Principle.
Eigenvalues and Eigenfunctions of Operators. Hermitian Operators.
The Schrödinger Equation. Particles in Boxes.
The Phenomenon of Barrier Penetration.
The Hydrogen Atom.
The Zeeman Effect, Spin.
The Fermi-Dirac Distribution Function.
Elearning