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Variation–iteration method for one‐dimensional two‐electron systems
Author(s) -
Katyurin Svyatoslav V.,
Glinkin Oleg B.
Publication year - 1992
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560430207
Subject(s) - momentum (technical analysis) , wave function , position and momentum space , electron , ground state , space (punctuation) , physics , energy–momentum relation , mathematics , quantum mechanics , quantum electrodynamics , linguistics , philosophy , finance , economics
The variation–iteration method of Svartholm has been applied to the momentum‐space Schrödinger equation for one‐dimensional two‐electron systems. The first and second iteration momentum‐space wave functions have been evaluated in analytical forms. The momentum representation of the exact Hartree–Fock ground‐state wave function is chosen as the initial function. The influence of electron correlation on the distribution of momentum‐space probability density has been studied. It is shown for the one‐dimensional McWeeny–Coulson problem that the numerical value of the ground‐state energy of the one‐dimensional two‐electron atom is between the minimum energy values ε 1/2 and ε 1 .