Gurantor department | Institute of Physics | Credits | 5 |

Subject guarantor | Mgr. Jana Trojková, Ph.D. | Subject version guarantor | Mgr. Jana Trojková, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2004/2005 | Year of cancellation | 2015/2016 |

Intended for the faculties | HGF | Intended for study types | Bachelor, Follow-up Master |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

ALE02 | Doc. Dr.RNDr. Petr Alexa | ||

TRO70 | Mgr. Jana Trojková, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

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.

Lectures

Individual consultations

Tutorials

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.

MERZBACHER, E.: Quantum mechanics, John Wiley & Sons, NY, 1998.

SAKURAI, J. J.: Modern Quantum mechanics, Benjamin/Cummings, Menlo Park,
Calif. 1985
MERZBACHER, E.: Quantum mechanics, Wiley, New York 1970

Písemnou prací dle podmínek absolvování předmětu.

Ne

Systematic off-class preparation.

Subject has no prerequisities.

Subject has no co-requisities.

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.

Task name | Type of task | Max. 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 |

Show history

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type 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 |

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