Two electrons in a simple harmonic potential

2006 ◽  
Vol 84 (3) ◽  
pp. 181-192 ◽  
Author(s):  
S H Patil ◽  
Y P Varshni

Some structural properties of energy eigenfunctions of two electrons in a simple harmonic potential are analyzed. Simple expressions are obtained for the energy spectrum based on a model potential, and on a model wave function. These expressions give accurate values for the energy eigenvalues and provide a physical insight into their structure.PACS Nos.: 3.65.Ge, 73.21.La, 78.67.Hc

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2341-2346
Author(s):  
M. Takashina ◽  
Y. Sakuragi

We analyze the inelastic scattering of the α+12 C system leading to the [Formula: see text] state in 12 C at incident energies of E α=139 MeV ~ 240 MeV using α condensate model wave function, and investigate the affection of the large nuclear radius of [Formula: see text] on the inelastic angular distribution. It is found that the oscillation pattern in inelastic angular distribution is sensitive to the extent of transition density rather than the nuclear radius of the excited state.


2018 ◽  
Vol 121 (14) ◽  
Author(s):  
Scott D. Geraedts ◽  
Jie Wang ◽  
E. H. Rezayi ◽  
F. D. M. Haldane

2004 ◽  
Vol 82 (11) ◽  
pp. 917-930 ◽  
Author(s):  
S H Patil ◽  
Y P Varshni

The hydrogenic system, confined in an off-centre oscillator potential, is separable in terms of elliptic coordinates. Its general properties are analysed and energies are obtained for some states, for some values of displacement and potential strength. A model wave function is developed and used to obtain the energies and polarizabilities for the ground state. PACS Nos.: 03.65.Ge, 73.21.La, 78.67.Hc


1978 ◽  
Vol 17 (6) ◽  
pp. 557-559 ◽  
Author(s):  
K Srinivasa Rao ◽  
R Sridhar

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