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Prog. Theor. Phys. Vol. 54 No. 1 (1975) pp. 134-142
Quasiparticle Approximations in an Exactly Solvable Model
Yoshio Takahashi
Department of Physics, Tohoku University, Sendai
(Received December 13, 1974)
Abstract:
The properties of two Hartree-Fock ground states of the well-known Lipkin model which are given by the fermion quasiparticle approximation and the boson quasiparticle approximation are studied. Similarity between the two approximations is pointed out. Using the boson quasiparticle approximation, we show that there exists a stable Hartree-Fock ground state of the approximated boson Hamiltonian for any strength of the anharmonic term. The Hartree-Fock energies given by the two approximation are calculated and are compared with the exact ground state energy.
URL :
http://ptp.ipap.jp/link?PTP/54/134/
DOI : 10.1143/PTP.54.134
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