Quantum physics and introduction to qunatum information

Type of study	Follow-up Master
Language of instruction	Czech
Code	653-3174/01
Abbreviation	KFUKI
Course title	Quantum physics and introduction to qunatum information
Credits	5
Coordinating department	Department of Materials Engineering and Recycling
Course coordinator	Ing. Dalibor Javůrek, Ph.D.

Subject syllabus

1. Historical Development of Quantum Mechanics
2. Bra-Ket Formalism in Quantum Mechanics
3. Hermitian operators, projectors and observables
4. Representation theory
5. Dynamical states and physical qunatities
6. Multi-particle quantum systems
7. Equation of motion
8. Dirac interaction picture
9. Statistical operator
10. Stationary perturbation theory
11. Non-stationary perturbation theory
12. Quantization of electromagnetic field
13. Coherent states of electromagnetic field, Casimir effect, SPDC
14. Angular momentum operator and spin operator
15. Two-level atom - Semiclassical interaction of radiation with matter
16. Statistical operator in study of two-level atom in semiclassical theory, fully
quantum theory of interaction of two-level atom with radiation
17. Two-level atom - Wisskopf-Wigner theory
18. Physics of quantum computers
19. Entanglement, EPR states and Bell inequality

Literature

[1] Albert Messiah. Quantum mechanics. Dover Publications, 2014. .
[2] Claude Cohen-Tannoudji, Bernard Diu a Frank Laloë. Quantum Mecha-
nics, Volume 1: Basic Concepts, Tools, and Applications, 2nd Edition. New
York: Wiley-VCH, 2019. .
[3] Claude Cohen-Tannoudji, Bernard Diu a Frank Laloë. Quantum Mechanics,
Volume 2: Angular Momentum, Spin, and Approximation Methods, 2nd
Edition. New York: Wiley-VCH, 2019. .
[4] Claude Cohen-Tannoudji, Bernard Diu a Frank Laloë. Quantum Mechanics,
Volume 3: Fermions, Bosons, Photons, Correlations, and Entanglement,
1st Edition. New York: Wiley-VCH, 2019. .
[5] Pierre Meystre and Murray Sargent. Elements of Quantum Optics, 4th Edi-
tion. Berlin Heidelberg 2007: Springer, 2007. .

Advised literature

[1] William Henry Louisell. Quantum Statistical Properties of Radiation. New
York: Wiley-VCH, 1990. .
[2] J. J. Sakurai and Jim Napolitano. Modern Quantum Mechanics, 2nd Edition. Cambridge University Press, 2017.
[3] Mark Fox. Quantum Optics: An Introduction. Oxford University Press, 2006.
[4] Harry Paul. Introduction to Quantum Optics: From Light Quanta to Quantum Teleportation. Cambridge University Press, 2004.

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