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Title: Collective motion of two-electron atom in hyperspherical adiabatic approximation

Abstract

This work is devoted to calculate bound states in the two-electron atoms. The separation of variables has carried out in hyper spherical coordinate system (R, θ, α). Assuming collective motion of the electrons, where the hper angle (α∼π/4) and (θ∼π). The separation of the rotational variables leads to system of differential equations with more simple form as compared with non restricted motion. Energy of doubly excited P{sup e} and D{sup 0} states are calculated semi classically by using quantization condition of Bohr -Somerfield. The results compared with previously published data.

Authors:
 [1];  [2];  [3]
  1. King Saud University, Riyadh, 11491 (Saudi Arabia)
  2. (Egypt)
  3. St. Petersburg State University of economics, St. Petersburg, 191023 (Russian Federation)
Publication Date:
OSTI Identifier:
22391321
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1653; Journal Issue: 1; Conference: APMAS 2014: 4. International Congress in Advances in Applied Physics and Materials Science, Fethiye (Turkey), 24-27 Apr 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADIABATIC APPROXIMATION; ATOMS; BOHR THEORY; BOUND STATE; COMPARATIVE EVALUATIONS; COORDINATES; D STATES; DIFFERENTIAL EQUATIONS; ELECTRONS; EXCITED STATES; P STATES; QUANTIZATION; SPHERICAL CONFIGURATION

Citation Formats

Mohamed, A. S., E-mail: asalah@ksu.edu.sa, Al-Azhar University, Cairo, Nasr City, and Nikitin, S. I., E-mail: dept.kpme@unecon.ru. Collective motion of two-electron atom in hyperspherical adiabatic approximation. United States: N. p., 2015. Web. doi:10.1063/1.4914263.
Mohamed, A. S., E-mail: asalah@ksu.edu.sa, Al-Azhar University, Cairo, Nasr City, & Nikitin, S. I., E-mail: dept.kpme@unecon.ru. Collective motion of two-electron atom in hyperspherical adiabatic approximation. United States. doi:10.1063/1.4914263.
Mohamed, A. S., E-mail: asalah@ksu.edu.sa, Al-Azhar University, Cairo, Nasr City, and Nikitin, S. I., E-mail: dept.kpme@unecon.ru. Mon . "Collective motion of two-electron atom in hyperspherical adiabatic approximation". United States. doi:10.1063/1.4914263.
@article{osti_22391321,
title = {Collective motion of two-electron atom in hyperspherical adiabatic approximation},
author = {Mohamed, A. S., E-mail: asalah@ksu.edu.sa and Al-Azhar University, Cairo, Nasr City and Nikitin, S. I., E-mail: dept.kpme@unecon.ru},
abstractNote = {This work is devoted to calculate bound states in the two-electron atoms. The separation of variables has carried out in hyper spherical coordinate system (R, θ, α). Assuming collective motion of the electrons, where the hper angle (α∼π/4) and (θ∼π). The separation of the rotational variables leads to system of differential equations with more simple form as compared with non restricted motion. Energy of doubly excited P{sup e} and D{sup 0} states are calculated semi classically by using quantization condition of Bohr -Somerfield. The results compared with previously published data.},
doi = {10.1063/1.4914263},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1653,
place = {United States},
year = {Mon Mar 30 00:00:00 EDT 2015},
month = {Mon Mar 30 00:00:00 EDT 2015}
}