480-4400/01 – Quantum Physics I (KFI)

Gurantor departmentDepartment of PhysicsCredits4
Subject guarantorMgr. Jana Trojková, Ph.D.Subject version guarantorDoc. Dr.RNDr. Petr Alexa
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2018/2019Year of cancellation
Intended for the facultiesUSP, FEIIntended for study typesFollow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
ALE02 Doc. Dr.RNDr. Petr Alexa
TRO70 Mgr. Jana Trojková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

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

Další požadavky na studenta

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

Full-time form (validity from: 2018/2019 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40  20
        Examination Examination 60 (60) 21
                Písemná část Written examination 40  20
                Ústní část Oral examination 20  1
Mandatory attendence parzicipation: Seminars are compulsory.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2018/2019 (N2658) Computational Sciences (2612T078) Computational Sciences P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner