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This article is cited in 1 scientific paper (total in 1 paper)
Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls
S. Z. Rakhmanova, O. V. Karpovaab, D. R. Rakhimboevac, F. S. Khashimovad, D. Babajanovb a National University of Uzbekistan, 100174, Tashkent, Uzbekistan
b Turin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan
c Tashkent Transport College, 100148, Tashkent, Uzbekistan
d Navoiy State Mining Institute, 27 Janubiy str., Navoiy, Uzbekistan
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 Schrödinger 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.
Keywords:
confined atom, time-dependent box, average kinetic energy, atom-optic billiards.
Received: 01.11.2015
Citation:
S. Z. Rakhmanov, O. V. Karpova, D. R. Rakhimboeva, F. S. Khashimova, D. Babajanov, “Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls”, Nanosystems: Physics, Chemistry, Mathematics, 6:6 (2015), 767–772
Linking options:
https://www.mathnet.ru/eng/nano991 https://www.mathnet.ru/eng/nano/v6/i6/p767
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