Global elucidation of broken symmetry solutions to the independent particle model through a Lie algebraic approach

2018 ◽  
Vol 149 (19) ◽  
pp. 194106 ◽  
Author(s):  
Lee M. Thompson
Keyword(s):  
Algebraic Approach ◽  
Broken Symmetry ◽  
Particle Model ◽  
Independent Particle ◽  
Independent Particle Model

Potential barrier effect and discrete structure o between 40 and 120 Å in the Rb I absorption spectrum

1975 ◽  
Vol 344 (1637) ◽  
pp. 303-309 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Absorption Maximum ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Particle Model ◽  
Discrete Structure ◽  
Model Calculations ◽  
Hartree Fock ◽  
Independent Particle ◽  
Independent Particle Model

Investigation of the Rb I absorption spectrum between 40 and 120 Å has revealed a broad absorption maximum in the 3d photoionization continuum, as well as discrete features associated with the excitation of a 3d-subshell electron. The discrete structure is identified, Hartree-Fock calculations of the transition energies are given and the absorption maximum is discussed in relation to similar spectra and to recent random phase approximation with exchange (r.p.a.e.) and independent particle model calculations.

scholarly journals Electron capture into few-electron heavy ions: Independent particle model

2007 ◽  
Vol 46 (1) ◽  
pp. 27-36 ◽  
Author(s):  
A. Surzhykov ◽  
U. D. Jentschura ◽  
T. Stöhlker ◽  
S. Fritzsche
Keyword(s):  
Electron Capture ◽  
Heavy Ions ◽  
Particle Model ◽  
Independent Particle ◽  
Independent Particle Model

The history, development, and future prospects for (e,2e) spectroscopy

1996 ◽  
Vol 74 (11-12) ◽  
pp. 703-712 ◽  
Author(s):  
Ian E. McCarthy
Keyword(s):  
Nuclear Physics ◽  
Experimental Result ◽  
Particle Model ◽  
Sensitive Information ◽  
Final States ◽  
Independent Particle ◽  
Electron Momentum Spectroscopy ◽  
Independent Particle Model ◽  
Valence Bands ◽  
Momentum Space Orbitals

Electron momentum spectroscopy of atoms, molecules, and solids is based on (e,2e) reactions that observe the distribution of recoil momenta for energy-resolved states of the residual system. It is interpreted simply in terms of the momentum-space orbitals of the independent-particle model. The relevant ideas originated in nuclear physics. The earliest experiments observed that strongly excited final states belong to orbital manifolds that extend the independent-particle ideas to correlated systems. Some weakly excited final states do not belong to orbital manifolds. They give sensitive information about target ground-state correlations. The energy-momentum distribution of valence bands is observed for solids. Calculations for atoms, molecules, and crystals converge to the experimental result as the structure calculation is improved.

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