
Study of geodesic chaos by fractal methods
Sychrovský, David ; Semerák, Oldřich (advisor) ; Čížek, Martin (referee)
We study the dynamics of free test particles in a field of Schwarzschild black hole surrounded by an external exact thin axisymmetric solutions of Einstein's equations. Specifically, we use the BachWeyl ring and two member of the inverted MorganMorgan family of solutions as the additional sources. The fractal basin boundary and other meth ods are used to detect and quantify chaos in timelike geodesic motion of the particles, primarily by computing boxcounting dimension of said basin boundary. Our results mainly consist of the dependence of the chaoticity of these systems on mass and radius of the additional source as well as conserved energy and angular momentum of the test particles. We compare our results to literature and expand on them. 1


Twoelectron model of interatomic Coulombic decay
Šenk, Jan ; Kolorenč, Přemysl (advisor) ; Čížek, Martin (referee)
In this thesis we construct and examine a twoelectron model of interatomic Coulom bic decay (ICD). We base this model on an unperturbed hamiltonian with closedform stationary solutions with a potential consisting of two finite square wells. The Coulombic interaction mediating the decay between the electrons is incorporated via timedependent perturbation theory. We then examine the dependence of the decay widths on the inter well distance, the depth of the right well and the energy of the ICD electron. The model correctly describes the interwell dependence for high energy ICD electrons. 1


Investigation of quantum reaction dynamics using semiclassical method.
Táborský, Jiří ; Čížek, Martin (advisor)
In the presented thesis we study quantum reaction dynamics of H2O using semiclassical method. Using ab initio quantum potential evaluated on a fine grid we derive analytical formula for potential energy surface, which is used for solving classical equations of motion. A reaction path is analyzed using contour plots with a focus on a saddle point area. Reaction dynamics analysis is focused on properties of interaction probability and cross section depending on impact parameter, collision energy and initial vibrational state of interacting molecule. Final results are compared with experimental data.


Iterative calculation of vibrational dynamics in electron scattering from molecule
Šarmanová, Martina ; Čížek, Martin (advisor) ; Tůma, Miroslav (referee)
The main focus of present thesis is the numerical solution of systems of linear algebraic equations arising from the physical model of a collision of an electron with a molecule. The first third of the thesis introduces the basic concepts used in the treatment of molecular vibrations. The description of the JahnTeller model of the vibronic dynamics of the in termediate molecular anion in the form of the system of stationary Schrödinger equations is also included. Then, we show how this system of integrodifferential equations can be transformed into a system of linear algebraic equations represented by a symmetric matix. In the second chapter, nine numerical methods (both direct and iterative), which have been chosen considering the character of the present problem, are discussed in detail. The explanation of the main idea of preconditioning of the problem concludes the theoretical part of the thesis. The last third of the thesis is dedicated to the numerical experiments. The main aim of the epxeriments was to compare the abovementioned methods with the emphasis on the usability within the scope of electronmolecule collision simulations. 1


The Role of France and the USA in Battling Instability in Mali and Niger in the Years 20052014
Bakurevich, Aliaksei ; Čížek, Martin (advisor) ; Hornát, Jan (referee)
The Sahel is one of the most unstable and underdeveloped region of the world. In Niger and Mali situation worsened after the year 2011 because of of the political vacuum, emerged after the overthrow of Gaddafi. Among basic problems of Mali and Niger, causing instability, can be named poverty, security troubles (uncontrolled extensive borders, terrorism), ethnic conflicts and misgovernance. This paper is concentrated on the US and French activities in solving those problems. The aim of the paper is thus defining of the basic problems causing instability of Niger and Mali, and analyse military and development aid aimed at solving those problems by the USA and France in years 20052014.


Calculations of photoelectron spectra of small water clusters using the independent molecule model
Šklíba, Pavel ; Mašín, Zdeněk (advisor) ; Čížek, Martin (referee)
The aim of this thesis is to investigate theoretically photoelectron spectra of small water molecular clusters. This work is motivated by the recent experimental results of Hartweg et al [Phys. Rev. Letters 118, 103402, 2017] which showed that with an increasing number of constituent molecules in the water cluster the asymmetry parameter characterizing the photoelectron angular distribution converges to a universal shape. At the moment there are no theoretical calculations to support this finding. Therefore, we have developed a very simple model of photoionization of molecular clusters based on the use of photoionization data for a single molecule. We have found that the results of our model are sensitive to the different conformations of the clusters. Some of our results for the photoelectron angular distribution exhibit trends observed in the experiment. Nevertheless, the validity of our model will have to be studied in the future with the help of accurate calculations before the results can be conclusively interpreted.

 

SMV202055: ADJ3 standard
Hrabina, Jan ; Jelínek, Michal ; Čížek, Martin ; Číp, Ondřej
The contractual research was oriented towards works on ADJ3CESNET laser standard:\n analysis and measurement of actual parameters of the system \n reduction of electric noise (control system) \n optical polarization stabilization (beatnote measurements) \n upgrading of control SW \n PID control optimalization, verification tests of the system

 
 