DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang)

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1985, Vol. 9> Issue(3) : 341-348

DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang) ^,

Department of Physics, Peking University

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Abstract：
Based on the so-called modified Jancovici-Schiff (MJS) substitution the interacting boson model (IBM) is treated as an approximation to the boson description adopted in the intermediate stage of a fermion description of nuclei. A unitary transformation is introduced to determine microscopically the IBM bosons and the IBM Hamiltonian. A general formula is given to transform the IBM state vectors back into the fermion state space.

References

[1]

杨泽森, 杨立铭, 会议文集:Interacting Bose-Fermi Systems in Nuclei, ed: F. Iachdo (Plenum, New York, 1981).[2] 杨泽森, 刘庸, 田晓岑, 高能物理与核物理, 6(1982), 472;Chin. Phys., 3(1983), 345.[3] 刘庸, 田晓岑、杨泽森, 高能物理与核物理, 7(1983), 724.[4] T. Otsuka, A. Arima and F. Iachello, Nucl. Phys., A309(1978), 1.[5] 杨泽森, 高能物理与核物理, 8(1984), 75.[6] D. Janssen, F. Donau, S. Frauendorf and R. V. Jolos, Nucl. Phys., A172(1971), 145.[7] T. Usui, Progr. Theor. Phys., 23(1960), 787.[8] T. Marumori et al., Progr. Theor. Phys. 31(1964), 1009.

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YANG Ze-Sen(Tse-sen Yang). DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL[J]. Chinese Physics C, 1985, 9(3): 341-348.

YANG Ze-Sen(Tse-sen Yang). DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL[J]. Chinese Physics C, 1985, 9(3): 341-348. 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

DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang) ^,

Corresponding author: YANG Ze-Sen(Tse-sen Yang),

Department of Physics, Peking University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-06-05

Abstract: Based on the so-called modified Jancovici-Schiff (MJS) substitution the interacting boson model (IBM) is treated as an approximation to the boson description adopted in the intermediate stage of a fermion description of nuclei. A unitary transformation is introduced to determine microscopically the IBM bosons and the IBM Hamiltonian. A general formula is given to transform the IBM state vectors back into the fermion state space.