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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Level spacing distribution of quantum systems
 Škultéty, Richard ; Augustovičová, Lucie (advisor) ; Picková, Irena (referee)
The aim of this work is to get acquainted with the topic of quantum chaos and statistical methods used to quantify it. In the first part of this work I will show the definition of both classical and quantum chaos. I will introduce NNS method, which studies quantum chaos as correlations between levels in the spectrum. In the second part of my work I will describe basic methods used to work with data in a form of probability density. In the third part this work I will focus on methods that are specific for quantum chaos. To simulate a quantum chaotic system I will use the basics of random matrix theory. I will introduce unfolding and I will study the distribution of NNS for simulated spectra. To quantify quantum chaos I will use Brody distribution. In the last part of this work I will apply above mentioned methods on spectra of real particles.
Detailed record
Level spacing distribution of quantum systems
 Škultéty, Richard ; Augustovičová, Lucie (advisor) ; Picková, Irena (referee)
The aim of this work is to get acquainted with the topic of quantum chaos and statistical methods used to quantify it. In the first part of this work I will show the definition of both classical and quantum chaos. I will introduce NNS method, which studies quantum chaos as correlations between levels in the spectrum. In the second part of my work I will describe basic methods used to work with data in a form of probability density. In the third part this work I will focus on methods that are specific for quantum chaos. To simulate a quantum chaotic system I will use the basics of random matrix theory. I will introduce unfolding and I will study the distribution of NNS for simulated spectra. To quantify quantum chaos I will use Brody distribution. In the last part of this work I will apply above mentioned methods on spectra of real particles.
Detailed record

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