717-3928/02 – Quantum physics II (KFII)

Gurantor departmentDepartment of PhysicsCredits3
Subject guarantorDoc. Dr. RNDr. Petr AlexaSubject version guarantorMgr. Jana Trojková, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
YearSemesterwinter
Study languageEnglish
Year of introduction2016/2017Year of cancellation2017/2018
Intended for the facultiesUSPIntended for study typesFollow-up Master, 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+1

Subject aims expressed by acquired skills and competences

The subject follows the previously taught subject 'Introduction to quantum physics and chemistry'. Its goal is to introduce more advance chapters of quantum mechanics such as matrix representation of quantum mechanics, additivity of angular momenta, perturbation theory, probability of transition in two-level system (e.g. photon absorption) or second quantization and application of quantum mechanics, such as quantum cryptography and quantum teleportation.

Teaching methods

Lectures
Tutorials

Summary

- matrix representation of quantum mechanics - spin, magnetic moment, ladder operators, summing up of angular moments, Clebch-Gordan coefficients - perturbation theory (spin-orbit interaction), time-dependent perturbation, Fermi golden rule - interaction of two-level system with electromagnetic field. - second quantization - two- and more-electrons' wave function, Slater determinant - quantum entanglement, Bell inequilities, EPR paradox, quantum quantum crypthograhy, quantum teleportation - limits of Schrodinger equation, Dirac equation

Compulsory literature:

1. C.C. Tannoudji, B. Diu, F. Laloe, Quantum mechanics, Hermann (1998) 2. R. Shankar, Principles of Quantum Mechanics, Springer (1994) 3. E. Merzbacher, Quantum mechanics, John Wiley & Sons (2001)

Recommended literature:

1. J.J. Sakurai, J.J. Napolitano: Modern Quantum Mechanics (Addison-Wesley, 2011) 2. R.P. Feynman, R.B. Leighton, M. Sands, Feynmanovy přednášky z fyziky 3, Fragment (2002) 3. J. Klíma, B. Velický,  Kvantová teorie, Charles University Press (1989) 4. Skála, Lubomír, Úvod do kvantové mechaniky, Karolinum, (2012)

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Systematic off-class study.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

ANOTATION The subject follows the previously teached subject 'Introduction to quantum physics and chemistry'. Its goal is to introduce more advance chapters of quntum mechanics such as matrix representation of quantum mechanics, additivity of angular momenta, perturbation theory, probability of transition in two-level systém (e.g. photon absorption) or second quantization and application of quantum mechanics, such as quantum cryptography and quantum teleportation. Outline of the subject - matrix representation of quantum mechanics - spin, magnetic moment, summing up of angular moments, Clebch-Gordan coefficients - perturbation theory (spin-orbit interaction), time-dependent perturbation - interaction of two-level system with electromagnetic field. - second quantization - more-electrons' wave function, singlet and triplet states, Slater determinant - quantum entanglement, EPR paradox, quantum quantum crypthograhy, quantum teleportation

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester, validity until: 2017/2018 Summer 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  11
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2017/2018 (N3942) Nanotechnology (3942T001) Nanotechnology P English Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner