Abstract
The Hartree-Fock procedure is used to study the behaviour of the ground state of a system ofM spinless electrons distributed overN equivalent and equidistant sites (M ⩽N) as a function of the strength of the mutual repulsion between the electrons. Below a critical strength, all initial configurations are seen, after repeated iterations, to converge to a unique solution. Above this critical strength, in addition to the initial configurations which lead to a unique solution, there exist configurations which on repeated iterations give rise to stable two-period solutions. Although the number of independent stable two-period solutions depends on the coupling strength, for no value of the coupling are stable solutions of periodicity higher than two seen.
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Kaur, A., Srivastava, P.K. & Varma, V.S. Study of bifurcations in a model Hartree-Fock calculation. Pramana - J. Phys. 32, 117–129 (1989). https://doi.org/10.1007/BF02847015
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DOI: https://doi.org/10.1007/BF02847015