Hartree-Fock approximation for the one-dimensional electron gas |
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Authors: | S Olszewski |
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Institution: | (1) Institute of Physical Chemistry, Polish Academy of Sciences, 44/52 Kasprzaka, PL-01-224 Warszaw, Poland;(2) International Centre for Theoretical Physics, Trieste, Italy |
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Abstract: | The Hartree-Fock calculation on the one-dimensional electron gas is done on the basis of the method analogous to that applied by Bloch and Wigner and Seitz for the three-dimensional gas. The boundary conditions of the standing wave are taken for the wave function and the bare Coulomb interaction between electrons is assumed. The parameterr
s of the three-dimensional gas is replaced by the ratio between the cross-section radius and the length of the potential tube filled by the one-dimensional gas. Excepting for a special case of the excitement of an electron pair put on one electron level the excitation energies of the non-magnetic gas are found to be very much higher than these of the ferromagnetic gas. A similar relation holds between the ground state energies of the non-magnetic and magnetic gases. |
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