|
|
Milne method and phase-amplitude method
Matějková, Markéta ; Soldán, Pavel (advisor) ; Čurík, Roman (referee)
Bound and quasi-bound states of one-dimensional systems play an important role in quantum physics. In this thesis we solve the Schrödinger equation numerically via the Milne method. We show the relation between the Schrödinger and the Milne equation. The quantum action and the quantum number function are defined. We find bound-state energies of chosen symmetrical and unsymmetrical potentials. Dependence of bound- state energies on the number of points and the step size is studied. We also analyze the influence of the choice of trial energies and the number of iterations. Then we modify the Milne equation and using the phase-amplitude method we illustrate the search of resonances on the example of a diatomic molecule. 1
|
|
|
Relation between Schrödinger equation and diffusion equation
Poprocký, Mojmír ; Stránský, Pavel (advisor) ; Cejnar, Pavel (referee)
The Schrodinger's equation and the diffusion equation can be written in a similar form. While the Schrodinger's equation is complex, the diffusion equation is real. In this thesis we wish to outline similarities of both equations. We present a way to treat a problem in non-relativistic quantum mechanics as a diffusion process. This shows that under certain circumstances both theories are equivalent. We demonstrate this on a few simple examples.
|
|
|
The classic and quantum dimension of X-ray diagnostics for radiology assistants
BEJTIC, Martin
These days there is no educational text for the issue freely available that would be adequate for the students of the course Radiology assistant and for related fields. The work set the following aims: 1. To choose a theory of transmission of the knowledge to the level of the fields mentioned. 2. To create an educational text so that the theory would be respected. 3. To verify the educational text experimentally from the point of view of the students'possibilities. 4. To apply selected statistical methods. Based on the present analysis of the issue and set aims the following hypotheses were formulated: 1. The educational text for radiology assistants can be created through the application of curricular process. 2. The knowledge of the students acquiered through the developed educational system will be divided in a similar way as it is divided normally. The aims mentioned above were accomplished thanks to use of all the aspects of the curricular process. Based on this process it was first necessary to analyse the current scientific system of classical and quantum physics. Adjusted physical knowledge were written up into an adequate educational text for radiology assistants. The hypothesis that an educational text for radiology assistants can be created through the application of the curricural process was verified. The text was provided electronically to the students of South Bohemian University and to radiology assistants. A test of 15 questions was created to verify the knowledge acquired by students. The educational test was also provided electronically. The results were then processed statistically. It was made use of methods of descriptive statistics, but also of nonparametrical testing of hypotheses. It was found out that the knowledge of the students can be described with Gaussian division based on the nonparametrical testing. Thanks to this the adequacy of the text and the second hypothesis that the knowledge of the students acquired through the developed educational system would be divided in a similar way as it is divided normally were verified.
|
|
|
Analytical Solutions of Two-Dimensional Schrödinger Equation
Tichý, Vladimír ; Skála, Lubomír (advisor) ; Šťovíček, Pavel (referee) ; Mančal, Tomáš (referee)
The goal of the dissertation is to find new method of solving two-dimensional Schrödinger equation in such cases, when the separation of the variables is not applicable. The results are applied to the two-dimensional Schrödinger equation with the potentials of the form of the quartic polynomial, of the sextic polynomial and of the quartic Morse potential. For these cases, the analytical formulae for the ground state wave functions and the corresponding energies have been found. For the specific class of the potentials of the form of the quartic polynomial, analytical formula for one of the excited states and for the corresponding energy have been found.
|
|
|
The Physics Principles of Magnetic Resonance for Radiographers
FIL, Lukáš
Currently, there is not available any simple educational text with the subject "Physics Principles of Magnetic Resonance" which would be adequate to knowledge of students of the branch of radiology assistant and of other related branches of study and which would be based on operational calculus. On the basis of the analysed scientific system of non-statistical quantum physics was made an educational text summarizing all important facts about physical bases of magnetic resonance. Functionality of the educational text was consequently validated by experimental teaching of students of the branch of radiology Acquired knowledge was verified by creation of an educational test which respected the depth and width of subject matter involved in the educational text. Between practical benefits of the thesis it is possible to emphasize a fact that the new quantum theory (operational calculus, full set of quantum number) is a needed physical base for understanding magnetic resonance. Imbalance between the need of new quantum theory and current content of accreditation materials could be removed by implementation of new subject "Selected Chapter of General and Theoretical Physics".
|
guest ::
