Course title  Quantum Theory I 

Course code  UFY/KT1 
Organizational form of instruction  Lecture + Lesson 
Level of course  Bachelor 
Year of study  not specified 
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, Compulsoryoptional, Optional 
Form of instruction  unspecified 
Work placements  unspecified 
Recommended optional programme components  None 
Lecturer(s) 


Course content 
Content: Foundations of Quantum Mechanics. Black body radiation (Wien, RayleighJeans, Planck), photoelectric effect, Compton scattering, heat capacities of solids, twoslit 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.

Learning activities and teaching methods 
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)

Learning outcomes 
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.
Knowledge of general physics (basics of mechanics, thermodynamics, optics and atomic physics), knowledge of methods of mathematical analysis (derivation, integrals, differential equations, Fourier transformation) 
Prerequisites 
Knoeldge of general physics approximaely according to the courses Physics 14

Assessment methods and criteria 
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 

Study plans that include the course 
Faculty  Study plan (Version)  Category of Branch/Specialization  Recommended semester  

Faculty: Faculty of Science  Study plan (Version): Secondary Schools Teacher Training in Physics (2012)  Category: Pedagogy, teacher training and social care    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 
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): Biophysics (1)  Category: Physics courses  3  Recommended year of study:3, Recommended semester: Summer 