Variational energies for highly excited states of the helium atom

1978 ◽  
Vol 56 (6) ◽  
pp. 884-889 ◽  
Author(s):  
Wai-Tak Ma ◽  
Mary Kuriyan ◽  
Huw O. Pritchard

The efficient correlated variational wave functions used previously to study the higher 1 sns states of helium have been extended to other states of the helium atom, 1 snp (n ≤ 23), 2pnp1P (n ≤ 25), and 2pnp3P (n ≤ 25); similar uncorrelated wave functions were used for 1snd (n ≤ 21), 2pnp1D (n ≤ 10), and 2pnp3D (n ≤ 10). Attempts to use the same techniques for the 2pnp1,3S states appear to converge variationally to the energies of the 2s21S and 2s3s3S states respectively. Comparison is made with experimental results where appropriate, and agreement is excellent except in the case of the 1snd states above n = 13.A search was made for excited states of H− in each of these configurations, but no new states were found.

1995 ◽  
Author(s):  
R B Wiringa ◽  
A Arriaga ◽  
V R Pandharipande

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Francesco Ferrari ◽  
Federico Becca ◽  
Juan Carrasquilla

2003 ◽  
Vol 81 (11) ◽  
pp. 1243-1248 ◽  
Author(s):  
Y P Varshni

A hydrogen atom in a high-density plasma is simulated by a model in which the hydrogen atom is confined in an impenetrable spherical box, with the atom at the centre. For the proton–electron interaction the Debye–Huckel potential is used. Variational wave functions are proposed for the 1s and 2p states. Energies calculated from these for different values of the radius of box (r0) are shown to be in good agreement with the exact values. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s [Formula: see text] 2p transition and the dipole polarizability for different values of r0. PACS Nos.: 03.65.Ge, 32.70.Os, 31.70.Dk, 52.20.–j


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