CALCULATION AND VISUALIZATION OF A SYSTEM- AN ELECTRON IN A DEEP SQUARE POTENTIAL WELL, WITH USE OF THE SOFTWARE PACKAGE OF MATLAB
Journal Title: World Science - Year 2017, Vol 1, Issue 7
Abstract
This article offers the calculations and visualization of calculation results for quantum system made with use of the software package of MATLAB. The electron is in an infinitely deep square well with width of l. The solution of the Schrödinger equation allows to obtain the energy levels of a particle in the well and corresponding eigen-functions. The program for calculation and visualization of results in the MATLAB language is developed. Results are presented in the form of graphs of wave functions and probability of finding of an electron at various distances from walls of a potential well by drawing the in one picture. For the best perception and understanding the behavior of the electron in the well the graphs of the wave functions and probability of finding electron at various distances from walls of the potential well are presented separately for each quantum state. The probabilities of the electron location in different regions of the well and energies at discrete states are calculated for the case when the electron moves along x-axis, i.e. for one-dimensional motion. It is shown that the total probability of finding electron in the well is defined by summation of probabilities of the electron location in different regions of the well and equals one.
Authors and Affiliations
K. A. Kabylbekov, Kh. K. Abdrakhmanova, Zh. A. Abekova, R. T. Abdraimov, B. S. Ualikhanova
Keywords
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