Pavel Stránský

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Last updated: 19.1.2022

**Introduction to the chaotic dynamics of classical Hamiltonian systems and to the spectral properties of their quantum counterparts.**

For addition information consult SIS.

Dr. Georgios Loukes-Gerakopoulos, Astronomical Institute CAS (classical chaos)

Dr. Pavel Stránský, Institute of Particle and Nuclear Physics MFF UK (quantum chaos)

The lectures are given on **Tuesdays from 3:30pm to 5:30pm** on ZOOM.
Preliminary schedule is the following:

1st lecture | 9/3/2021 | Georgios | |
---|---|---|---|

2nd lecture | 16/3/2021 | Georgios | |

3rd lecture | 23/3/2021 | Georgios | |

4th lecture | 30/3/2021 | Georgios | |

5th lecture | 6/4/2021 | Georgios | |

6th lecture | 13/4/2021 | Pavel | Quantum integrability Poisson nearest-neighbour spacing distribution 2D infinite potential well |

7th lecture | 20/4/2021 | Pavel | Density of quantum levels Unfolding 3D infinite potential well |

8th lecture | 27/4/2021 | Pavel | Wigner surmise Bohigas conjecture Random matrix ensembles |

9th lecture | 4/5/2021 | Pavel | Spectral correlations in random matrices Brody distribution Long-range correlations |

10th lecture | 11/5/2021 | Pavel | 1/f šum in quantum spectra Peres lattices Wishard ensemble |

Exam (Bc. students) | 18/5/2021 | ||

Exam (Mgr. and Ph.D. students) | 25/5/2021 |

Theory demonstrated by practical problems solved on computers (“hands-on”).

Classical theoretical mechanics, quantum mechanics and programming. This lecture is intended for all students of the 3rd year of bachelor studies, for master students, and for everyone interested in the topic.

Lecture notes on quantum chaos and solutions of the tasks are in the repository on GitHub.

1/f noise and scale invariance - PowerPoint presentation

Peres lattices, applications of Random matrix theory, demonstrated on Double pendulum - PowerPoint presentation

Blackboard copy - PDF