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Number of vortices generated in a rotating Bose-Einstein condensates in two-dimensional optical lattice
In the present paper we calculate the number of vortices generated in a
rotating Bose-Einstein condensate in two-dimensional optical lattice.
Our approach enabled us to parametrize the vortices number in terms of the
thermodynamic potential for the system under consideration. The
thermodynamic potential is calculated using the semiclassical approximation
approach. The finite size and the interatomic interaction effects are
investigated. The calculated results show that the vortices number as a
function of the angular velocity of rotation rate depends on the normalized
temperature, number of particles, interatomic interaction, and optical
potential
Auger Spectra and Different Ionic Charges Following 3s, 3p and 3d Sub-Shells Photoionization of Kr Atoms
The decay of inner-shell vacancy in an atom through radiative and
non-radiative transitions leads to final charged ions. The de-excitation decay
of 3s, 3p and 3d vacancies in Kr atoms are calculated using Monte-Carlo
simulation method. The vacancy cascade pathway resulted from the de-excitation
decay of deep core hole in 3s subshell in Kr atoms is discussed. The generation
of spectator vacancies during the vacancy cascade development gives rise to
Auger satellite spectra. The last transitions of the de-excitation decay of 3s,
3p and 3d holes lead to specific charged ions. Dirac-Fock-Slater wave functions
are adapted to calculate radiative and non-radiative transition probabilities.
The intensity of Kr^{4+} ions are high for 3s hole state, whereas Kr^{3+} and
Kr^{2+} ions have highest intensities for 3p and 3d hole states, respectively.
The present results of ion charge state distributions agree well with the
experimental data.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and
Applications) at http://www.emis.de/journals/SIGMA
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