Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls
S. RakhmanovNational University of Uzbekistan, 100174, Tashkent, UzbekistanО. В. КарповаNational University of Uzbekistan, 100174, Tashkent, UzbekistanD.R. RakhimboevaTashkent Transport College,100148, Tashkent, UzbekistanF. KhashimovaNavoiy State Mining Institute, 27 Janubiy str., Navoiy, UzbekistanD. BabajanovTurin Polytechnic University in Tashkent, 17. Niyazov Str., 100095, Tashkent, Uzbekistan
ABI
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 Schrdinger 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.
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