516-0875/01 – Quantum Physics (KVF)

Gurantor departmentInstitute of PhysicsCredits5
Subject guarantorMgr. Jana Trojková, Ph.D.Subject version guarantorMgr. Jana Trojková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2004/2005Year of cancellation2015/2016
Intended for the facultiesHGFIntended for study typesBachelor, Follow-up Master
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
Individual consultations
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

Písemnou prací dle podmínek absolvování předmětu.

E-learning

Ne

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: 2012/2013 Winter semester, validity until: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 15
                Written exam Written test 30  15
        Examination Examination 70 (70) 21
                Written examination Written examination 20  10
                Oral Oral examination 50  11
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 3 Compulsory study plan
2014/2015 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 3 Compulsory study plan
2013/2014 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 3 Compulsory study plan
2012/2013 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2009/2010 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan
2007/2008 (N2102) Mineral Raw Materials (3911T001) Applied Physics of Materials P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner