OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

PAN Zheng-Ying; QIU Zhi-Hong; SUN Yue-De

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2024年10月30日

Chinese Physics C> 1984, Vol. 8> Issue(3) : 298-305

OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

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Abstract：
The occupation renormalized Hartree-Fock single particle potential is extended to include the 'particle' state occupation. The exac solution of the occupation renormalized Hartree-Fock approximation and that of the Hartree-Fock approximation are calculated in Lipkin Model. It turns out that the RHF solution is more close to the exact one than the HF solution. The effect of occupation probability depends on the strength of the interaction of the two body term.

References

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K. T. R. Davies and N. Baranger, Phys. Rev., C1(1970), 1640.[2] B. H. Brandow, Phys. Rev., 152(1966), 863.[3] R. J. McCarthy,and K. T. R. Davies. Phys. Rev., C1(1970), 1644.[4] D. J. Thouless, The Quantum Mechanics of Many-Body ,Systems. (Academic Press Inc., Nev York 196l), p. 47.[5] H. J. Lipkin, N. Meshkov and A. J. Glick, Nucl. Phys., 62(1965), 188.[6] J. M. Leinazs, T. T. S. Kuo, Phys. Lett., 62B(1976), 275.[7] T. T. S. Kuo and E. 0. Osnes, "Lecture Notes on Many Body Theory of Nuclear Structure, "unpublished (Univ. of Oslo and State" Univ. of New York at Stony Brook, 1976).

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PAN Zheng-Ying, QIU Zhi-Hong and SUN Yue-De. OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL[J]. Chinese Physics C, 1984, 8(3): 298-305.

PAN Zheng-Ying, QIU Zhi-Hong and SUN Yue-De. OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL[J]. Chinese Physics C, 1984, 8(3): 298-305. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

Corresponding author: PAN Zheng-Ying,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: The occupation renormalized Hartree-Fock single particle potential is extended to include the 'particle' state occupation. The exac solution of the occupation renormalized Hartree-Fock approximation and that of the Hartree-Fock approximation are calculated in Lipkin Model. It turns out that the RHF solution is more close to the exact one than the HF solution. The effect of occupation probability depends on the strength of the interaction of the two body term.