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Laser Optics & Photonics and Atomic & Plasma Science 2018
J u l y 1 6 - 1 7 , 2 0 1 8
P r a g u e , C z e c h R e p u b l i c
Page 113
American Journal of Computer Science and Information Technology
ISSN: 2349-3917
E u r o S c i C o n J o i n t E v e n t o n
Laser Optics & Photonics and
Atomic & Plasma Science
A
toms and molecules confined to nanoscale domains have physical properties which are completely different than those of
free atoms. Such difference is caused by modification of the boundary conditions imposed for quantum mechanical wave
equations, as well as by high pressure induced by the domain boundaries. For free atoms, the boundary conditions are imposed
in whole space, while for confined atoms one should solve the wave equations with the boundary conditions imposed on a finite
domain. Due to such modification, properties of the atoms, molecules and matter depend on the shape and size of a confining
domain. Experimentally, atom-in-box system can be realized in co-called atom optic billiards which represents a rapidly scanning
and tightly focused laser beam creating time averaged quasi-static potential for atoms. Recent technological developments
make possible trapping and manipulating of atoms and molecules in time-dependent potentials. Manipulation of the atomic
Hamiltonians with both discrete and continuum spectra is of practical importance in such field as metrology and quantum
information processing. In this work we study quantum dynamics of hydrogen-like atom confined in spherical box with time
dependent radius by focusing on the response of atomic electron to the effect of moving walls of the box. The time-dependence
of the wall’s position is considered as non-adiabatic, i.e. we consider the cases of rapidly shrinking, expanding and harmonically
breathing boxes. The expectation values of the total and kinetic energy, average force, pressure, coordinate are analyzed as
a function of time. It is shown that linearly extending box leads to de-excitation of the atom, while the rapidly contracting box
causes the creation of very high pressure on the atom and transition of the atomic electron into the unbound state. In harmonically
breathing box diffusive excitation of atomic electron may occur in analogy with that for atom in a microwave field.
saparboy92@gmail.comQuantum dynamics of a hydrogen-like atom in a
time-dependent box: non-adiabatic regime
S Rakhmanov
1
, D Matrasulov
2
, V I Matveev
3, 4, 5
1
National University of Uzbekistan, Uzbekistan
2
Turin Polytechnic University in Tashkent, Uzbekistan
3
Federal Center for Integrated Arctic Research, Ural Branch, Russia
4
Russian Academy of Sciences, Russia
5
Northern (Arctic) Federal University, Russia
Am J Compt Sci Inform Technol 2018, Volume 6
DOI: 10.21767/2349-3917-C1-003