Title: ПРАВИЛА ОФОРМЛЕНИЯ ТЕЗИСОВ КОНФЕРЕНЦИИ ВНКСФ-7
Author: JohnDoe
Last saved by: Stranger
Company: Grizli777

Specialization: 510402 Physics
Curriculum: 32 Quantum mechanics of atoms, molecules and solids
Supervisor of the curriculum: Prof. Dr. Yu.Yu. Dmitriev
Department of quantum mechanics
Scientific adviser: Dr., Leading Researcher,  Andrey K. Kazansky
Reviewer: Candidate of Science, Postdoctoral fellow, Dmitry A. Solovyev.

 Effective non-stationary method for solving multidimensional problems of quantum mechanics

Astislav V. Bozhevolnov

 	The thesis is dedicated to the Schrödinger non-stationary equation solving method based on the Lippmann–Schwinger approach. This method singles out by valuable effectiveness based on the split-propagation implementation. That by turn allows the usage of Fourier transformation, providing fast algorithms. The connection between stationary problem and non-stationary method is displayed in the research. 
The method is implemented to the stationary problem of the wave packet scattering at asymmetric (relative to the wave transmission direction) two-dimensional potential.  The technical aspects of the computational timing decrease via parallel calculations usage are illuminated. The computer application aimed to solve the stated stationary problem of dispersion including the resumption of wave functions of continuum feature is developed.
The presented method is supposed for the widespread use in solving non-stationary problems, related to wave packets propagation on the spatially localized nonsingular potential.

The list of publications:

2009) G. Kiknadze,  A. Gorodkov, A. Bogevolnov
Intraventricular and aortic blood flow analysis and reconstruction using the exact solution of non stationary hydrodynamic equations for the class of twisted converging viscous flows, Computational and mathematical biomedical engineering 2009, Washington D.C. USA. 
CMBE 2009 proceedings: http://engweb.swan.ac.uk/~cgarasu/cmbe09.pdf; page 338

2011) Bokeriya L.A., Kiknadze G.I.,  Bogevolnov A.V.,  Gorodkov A.Yu.
Mathematical modeling of swirling intracardiac flow using exact solution of unsteady-state hydrodynamic equations for the class of self-organizing tornado-like flows of viscous medium, 
Computational and mathematical biomedical engineering 2011, Washington D.C. USA. 
CMBE 2011 proceedings: http://www.cs.swan.ac.uk/~csjason/cmbe2011.pdf; page 437

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