480-4400/02 – Quantum Physics I (KFI)
| Gurantor department | Department of Physics | Credits | 4 |
| Subject guarantor | Doc. Dr. RNDr. Petr Alexa | Subject version guarantor | Doc. Dr. RNDr. Petr Alexa |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 1 | Semester | winter |
| | Study language | English |
| Year of introduction | 2018/2019 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FEI, USP | Intended for study types | Follow-up Master, Bachelor |
Subject aims expressed by acquired skills and competences
Explain the fundamental principles of quantum-mechanical approach to problem solving.
Apply this theory to selected simple problems.
Discuss the achieved results and their measurable consequences.
Teaching methods
Lectures
Tutorials
Summary
The course introduces the most important aspects of non-relativistic quantum mechanics. It includes the fundamental
postulates of quantum mechanics and their applications to square wells and barriers, the linear harmonic oscillator
and spherical potentials and the hydrogen atom. The remarcable properties of quantum particles and the resulting
macroscopic effects are discussed.
Compulsory literature:
MERZBACHER, E.: Quantum mechanics, John Wiley & Sons, NY, 1998.
Recommended literature:
SAKURAI, J. J.: Modern Quantum mechanics, Benjamin/Cummings, Menlo Park,
Calif. 1985
MERZBACHER, E.: Quantum mechanics, Wiley, New York 1970
Way of continuous check of knowledge in the course of semester
Written test, active students´ participation at seminars.
E-learning
Other requirements
Systematic off-class preparation.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Introduction - historical context and the need for a new theory.
2. Postulates of quantum mechanics, Schrödinger equation, time dependent and stationary, the equation of continuity.
3. Operators - linear Hermitian operators, variables, measurability. Coordinate representation.
4. Basic properties of operators, eigenfunctions and eigenvalues, mean value, operators corresponding to the selected physical variables and their properties.
5. Free particle waves, wavepackets. The uncertainty relation.
6. Model applications of stationary Schrödinger equation - piece-wise constant potential, infinitely deep rectangular potential well - continuous and discrete energy spectrum.
7. Other applications: step potential, rectangular potential well, square barrier potentials - tunneling effect.
8. Approximations of selected real-life situations by rectangular potentials.
9. The harmonic oscillator in the coordinate representation and the Fock's representation.
10. Spherically symmetric field, the hydrogen atom. Spin.
11. Indistinguishable particles, the Pauli principle. Atoms with more
than one electrons. Optical and X-ray spectrum.
12. The basic approximations in the theory of chemical bonding.
13. Interpretation of quantum mechanics.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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