scholarly journals The bounding energy values for lower 1,3S- states of two-dimensional helium atom in hyperspherical adiabatic approach

2011 ◽  
Vol 30 (0) ◽  
pp. 246-251
Author(s):  
М. Гайсак ◽  
Ю. Мучичка ◽  
В. Онисько
Keyword(s):  
Helium Atom ◽  
Two Dimensional ◽  
Adiabatic Approach ◽  
Hyperspherical Adiabatic ◽  
S States

Hyperspherical adiabatic approach for the helium atom

1995 ◽  
Vol 52 (4) ◽  
pp. 3362-3365 ◽  
Author(s):  
M. Masili ◽  
J. E. Hornos ◽  
J. J. De Groote
Keyword(s):  
Helium Atom ◽  
Adiabatic Approach ◽  
Hyperspherical Adiabatic

KANTBP: A program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach

2007 ◽  
Vol 177 (8) ◽  
pp. 649-675 ◽  
Author(s):  
O. Chuluunbaatar ◽  
A.A. Gusev ◽  
A.G. Abrashkevich ◽  
A. Amaya-Tapia ◽  
M.S. Kaschiev ◽  
...  
Keyword(s):  
Energy Levels ◽  
Wave Functions ◽  
Radial Wave ◽  
Reaction Matrix ◽  
Adiabatic Approach ◽  
Hyperspherical Adiabatic ◽  
Coupled Channel

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
Keyword(s):  
Helium Atom ◽  
Excited States ◽  
Wave Functions ◽  
Experimental Results ◽  
New States ◽  
Variational Wave Functions ◽  
Variational Wave ◽  
S States

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.

Energy of a Two-Dimensional Helium Atom in an Excited State

2018 ◽  
Vol 61 (9) ◽  
pp. 1597-1602 ◽  
Author(s):  
V. V. Skobelev ◽  
S. V. Kopylov
Keyword(s):  
Excited State ◽  
Helium Atom ◽  
Two Dimensional

Correlated Atomic Pair Functions by the e-ϱ-Method. I. Ground State 11S and Lowest Excited States n1S (n > 1) and n3S of Helium

1999 ◽  
Vol 54 (12) ◽  
pp. 711-717
Author(s):  
F. F. Seelig ◽  
G. A. Becker
Keyword(s):  
Integral Equation ◽  
Wave Function ◽  
Helium Atom ◽  
Excited States ◽  
Ground State ◽  
Single Parent ◽  
Hartree Fock ◽  
Atomic Pair ◽  
Electronic Wave Function ◽  
S States

Abstract Some low n1S and n3S states of the helium atom are computed with the aid of the e-e method which formulates the electronic wave function of the 2 electrons ψ = e-e F, where ϱ=Z(r1+r2)–½r12 and here Z = 2. Both the differential and the integral equation for F contain a pseudopotential Ṽ instead of the true potential V that contrary to V is finite. For the ground state, F = 1 yields nearly the Hartree-Fock SCF accuracy, whereas a multinomial expansion in r1, r2 , r2 yields a relative error of about 10-7 . All integrals can be computed analytically and are derived from one single “parent” integral.

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