Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls
https://doi.org/10.17586/2220-8054-2015-6-6-767-772
Аннотация
The quantum dynamics of a hydrogen-like atom confined in one-dimensional box with oscillating walls is studied. The description of the system is reduced to a one-dimensional Schr¨odinger equation for Coulomb potential with time-dependent boundary conditions, which is solved numerically. Using the obtained solution, the average kinetic energy and binding energies are calculated as a function of time. It is found that both the average kinetic energy and the binding energies are periodic in time with the period depending on the wall’s oscillation parameters. The probability density is also analyzed as a function of time and coordinate.
Об авторах
S. Rakhmanov
National University of Uzbekistan
Узбекистан
Узбекистан
O. Karpova
National University of Uzbekistan ; Turin Polytechnic University in Tashkent
Узбекистан
Узбекистан
D. Rakhimboeva
Tashkent Transport College
Узбекистан
Узбекистан
F. Khashimova
Navoiy State Mining Institute
Узбекистан
Узбекистан
D. Babajanov
Turin Polytechnic University in Tashkent
Узбекистан
Узбекистан
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Рецензия
Для цитирования:
, , , , . Наносистемы: физика, химия, математика. 2015;6(6):767-772. https://doi.org/10.17586/2220-8054-2015-6-6-767-772
For citation:
Rakhmanov S., Karpova O., Rakhimboeva D.R., Khashimova F., Babajanov D. Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(6):767-772. https://doi.org/10.17586/2220-8054-2015-6-6-767-772
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