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
Abstract
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.
About the Authors
S. Rakhmanov
National University of Uzbekistan
Uzbekistan
Uzbekistan
100174, Tashkent
O. Karpova
National University of Uzbekistan ; Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
100174, Tashkent
17. Niyazov Str., 100095, Tashkent
D. R. Rakhimboeva
Tashkent Transport College
Uzbekistan
Uzbekistan
100148, Tashkent
F. Khashimova
Navoiy State Mining Institute
Uzbekistan
Uzbekistan
27 Janubiy str., Navoiy
D. Babajanov
Turin Polytechnic University in Tashkent
Uzbekistan
Uzbekistan
17. Niyazov Str., 100095, Tashkent
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Review
For citations:
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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