| Issue |
MATEC Web Conf.
Volume 251, 2018
VI International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education” (IPICSE-2018)
|
|
|---|---|---|
| Article Number | 04015 | |
| Number of page(s) | 9 | |
| Section | Modelling and Mechanics of Building Structures | |
| DOI | https://doi.org/10.1051/matecconf/201825104015 | |
| Published online | 14 December 2018 | |
Integration of second order linear differential equations in elementary functions, example from quantum-mechanics
1
The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, ul. Konstantynów 1H, Lublin, 20-708
2
B. I. Stepanov Institute of Physics, NAS of Belarus, 68-2 Prospekt Nezavisimosti, Minsk 220072, Belarus
* Corresponding author: achichurin@gmail.com
In the paper, special procedure for integrating a second order linear differential equation with six singular points, example of a quantum-mechanical problem for a spin zero particle with intrinsic Darwin—Cox structure, is considered. The method is based on the use of the Schwarzian derivative, conditions for parameters are derived at which solutions of the equation under consideration are constructed in terms of elementary functions. The graphs for several solutions are presented, their physical sense is discussed.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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