Collective motion of two-electron atom in hyperspherical adiabatic approximation

Journal Article · Mon Mar 30 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4914263· OSTI ID:22391321

Mohamed, A. S., E-mail: [e-mail] ^[1]; Al-Azhar University, Cairo, Nasr City ^[2]; Nikitin, S. I., E-mail: [e-mail] ^[3]

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1. King Saud University, Riyadh, 11491 (Saudi Arabia)
2. (Egypt)
3. St. Petersburg State University of economics, St. Petersburg, 191023 (Russian Federation)

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.

• OSTI ID: 22391321
• Journal Information: AIP Conference Proceedings, Vol. 1653, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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