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Quantum dynamics of a hydrogen-like atom in a time-dependent box: non-adiabatic regime

  • Saparboy Rakhmanov
  • Davron Matrasulov
  • Victor I. Matveev
Regular Article

Abstract

We consider a hydrogen atom confined in time-dependent trap created by a spherical impenetrable box with time-dependent radius. For such model we study the behavior of atomic electron under the (non-adiabatic) dynamical confinement caused by the rapidly moving wall of the box. The expectation values of the total and kinetic energy, average force, pressure and coordinate are analyzed as a function of time for linearly expanding, contracting and harmonically breathing boxes. 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.

Graphical abstract

Keywords

Atomic Physics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Saparboy Rakhmanov
    • 1
  • Davron Matrasulov
    • 2
    • 3
  • Victor I. Matveev
    • 3
    • 4
  1. 1.Physics Department, National Universty of Uzbekistan, VuzgorodokTashkentUzbekistan
  2. 2.Turin Polytechnic University in TashkentTashkentUzbekistan
  3. 3.Federal Center for Integrated Arctic Research, Ural Branch, Russian Academy of SciencesArkhangelskRussia
  4. 4.Northern (Arctic) Federal UniversityArkhangelskRussia

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