| Course Unit Code | 480-8683/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | |
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| Prerequisities | Course Unit Code | Course Unit Title |
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| 9360-0130 | Introduction to Quantum Physic and Chemistry Theory |
| Name of Lecturer(s) | Personal ID | Name |
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| ALE02 | Doc. Dr. RNDr. Petr Alexa |
| BEZ0059 | Ing. Iva Tkáčová, Ph.D. |
| Summary |
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- 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 |
| Learning Outcomes of the Course Unit |
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| 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. |
| Course Contents |
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- 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 |
| Recommended or Required Reading |
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| Required Reading: |
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1. PHILLIPS, Anthony C. Introduction to quantum mechanics. Chichester: Wiley,
c2003. Manchester physics series. ISBN 0-470-85324-7.
2. SINGH, Jasprit. Quantum mechanics: fundamentals and applications to technology.
Weinheim: Wiley-VCH, c2004. Physics textbook. ISBN 0-471-15758-9.
3. EMERZBACHER,E. Quantum mechanics, John Wiley & Sons (2001) |
1. SKÁLA L., Úvod do kvantové mechaniky, Karolinum, (2012)
2. KLÍMA, Jan a Bedřich VELICKÝ. Kvantová mechanika I. Praha: Univerzita Karlova
v Praze, nakladatelství Karolinum, 2015. ISBN 978-80-246-2937-7.
3. BASDEVANT, Jean-Louis a Jean DALIBARD. Quantum mechanics. Corr. 2nd print.
Berlin: Springer, 2005. ISBN 3-540-27706-4.
|
| Recommended Reading: |
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1. SAKURAI, J.J. NAPOLITANO J.J: Modern Quantum Mechanics (Addison-Wesley, 2011)
2. PHILLIPS, Anthony C. Introduction to quantum mechanics. Chichester: Wiley,
c2003. Manchester physics series. ISBN 0-470-85324-7.
3. LEVI, A. F. J. Applied quantum mechanics. 2nd ed. Cambridge: Cambridge
University Press, 2006. ISBN 0-521-86096-2. |
1. SAKURAI, J.J. NAPOLITANO J.J: Modern Quantum Mechanics (Addison-Wesley, 2011)
2. R.P. Feynman, R.B. Leighton, M. Sands, Feynmanovy přednášky z fyziky 3,
Fragment,(2002)
3. HALLIDAY, D., RESNICK, R., WALKER J.: Fyzika. Část 5, Moderní fyzika. VUT v
Brně, nakl. Vutium a nakl. Prometheus Praha, 2000. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Examination | Examination | 100 | 51 |