| Course title | Quantum Theory I |
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| Course code | UFY/KT1 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | 3 |
| Frequency of the course | In each academic year, in the summer semester. |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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Content: Foundations of Quantum Mechanics. Black body radiation (Wien, Rayleigh-Jeans, Planck), photoelectric effect, Compton scattering, heat capacities of solids, two-slit experiment with electrons, de Broglie waves, wavepacket. Basics of QM. Wavefunstion, statistical interpretation, superposition of states, operators, mean values of coordinate and momentum, operators of coordinates, momentum, angular momentum, energy, commutators, eigenvalues and eigenfunctions. Uncertainty principle. Measurements in QM, properties of operator eingefunctions, simultaneous measurement of physical quantities, uncertainty principle (coordinate, momentum, angular momentum, energy), interaction of apparatus with microobjects. Schrödinger equation. Principal SR, Hamiltonian, stationary SR, basic principles for solution of SR (infinite potential well, particle in a box, degeneration of states, tunneling. Harmonic oscilátor in QM. Full solution of simple harmonic motion in QM, properties of solutions, properties of wavefunctions, concept of zero energy motion and its consequences. Particle in a central force field. Angular momentum in QM, movement in a field of spherical symmetry, Coulombic field, hydrogen atom - quantum statwes, quantum numbers, discrete energy spectrum, propertiers of wavefunctions, atomic orbitals. Spin. Experiments leading to a discovery of spin, multiplet structure of spectrum, splitting of energy levels in magnetic field, spin operators, Pauli matrices, Pauli equation, spin as relativistic effect, total angular momentum. Multielectron atoms. Set of identical particles, Pauli exclusion principle, Slater determinant, helium atom, periodic table. Introduction to chemical bond. Nature of chemical bond, ionic and covalent bond, valence and core electrons, - and -electrons, bond direction, hybridization. Representation theory. Heisenberg and Dirac representations of QM, matrix mechanics, braket Dirac notation, transformation of opertaors and wavefunctions between different representations.
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| Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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| Learning outcomes |
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The aim of the course is to elucidate basic theoretical and experimental concepts of the quantum theory, to explain properties and behavior of particles and simple quantum objects. The introduction of the necessary mathematical methods will enable the student to describe the phenomena studied. The course is divided into 13 lectures followed by exercises in which practical examples to the theory given will be explained.
Students will obtain basic knowledge of quantum physics and they will be able to solve model problems of quantum physics (harmonic oscillator, potential well, particle in a field of the central force). |
| Prerequisites |
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Knoeldge of general physics approximaely according to the courses Physics 1-4
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| Assessment methods and criteria |
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Student performance assessment, Systematic student observation, Colloquium
Passing colloquial exam, working out the homeworks, passing two written tests, activity during lectures and practicals. |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Biophysics (1) | Category: Physics courses | 3 | Recommended year of study:3, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Physics for future teachers (1) | Category: Physics courses | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Biophysics (1) | Category: Physics courses | - | Recommended year of study:-, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Physics (1) | Category: Physics courses | 3 | Recommended year of study:3, Recommended semester: Summer |