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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Multichannel models of Siegert states in electron collisions with molecules
 Konvalinka, Matěj ; Mašín, Zdeněk (advisor) ; Čížek, Martin (referee)
This thesis uses the phenomenon of the Siegert states and the R-matrix approach to analyze quantum scattering. The main task of the work is to implement the multichannel R-matrix method and test it on model potentials before applying it to ab initio scattering calculations. I follow up on my bachelor thesis where we described the Siegert states and their influence on the cross section and did the analysis for a short-range potential in one channel. In this work, we implement the multichannel approach within the one-particle R-matrix method. The method is tested for multichannel potentials and the long-range dipole and Coulombic potentials. Then we implement our approach into the multi-electron R-matrix UKRmol+ codes and apply our method to real molecular systems. We analyze the results of electronically elastic and inelastic calculations. 1
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Analysis of collision processes in quantum mechanics using Siegert states
 Konvalinka, Matěj ; Mašín, Zdeněk (advisor) ; Houfek, Karel (referee)
The main task of the work is to analyze the interaction of a particle with a spherically symmetric field in quantum mechanics using so-called Siegert states. In the first chapter we solve the scattering problem analytically for square well. Then we describe Siegert states and we demonstrate their influence on observable quantities (scattering cross of the interaction) using the analytic approach. In the second chapter we implement the numerical resolution of Schrödinger equation using the R-matrix method in the B-spline basis. In the third chapter we present results of the numerical method and validate it by comparison with the analytic solution obtained earlier. The main output of this work is implementation and verification of a numerical method enabling manipulation and analysis of S-matrix poles in simple radial scattering problems.
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See also: similar author names
4 Konvalinka, Martin
2 Konvalinka, Michal
2 Konvalinka, Miloš
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