A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

YANG ZE-SEN; ZHONG YU-SHU; QI HUI; YANG LI-MING

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(2) : 158-167

A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

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Abstract：
A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces.

References

[1]

B. R. Mottelson, Proc. Conf. On Nuclear Structure, ToKyo (1967); B. R. Mottelson, Nikko Summer School Lectures (1967), Nordita publication No. 288.[2] A. Bohr and B. R. Mottelaon, Nuclear Structure, Vol. 2, ch. 6; D. R. Bes and R. A. Broglia, Proc. Topical Conf. On Problem of Vibrational Nuclei (1975). 1.[3] D. R. Bes and B. R. Mottelson et al, Phys. Lett., 52B(1974), 253.[4] E. R. Marshalek, Phys. Lett., 44B(1973), 5; E. R. Marshalek, Nucl, Phys., A224(1974), 221; E. R. Marshalek, Nucl, Phys., A224(1974), 245.[5] S. T. Beliaev and V. G. Zelevinsky, Nucl. Phys., 39(1962), 582.[6] T. Usui, Progr. Theor. Phys., 23(1960), 787.[7] T. Marumori et al., Progr. Theor. Phys. (Kyoto) 31(1964), 1009.

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YANG ZE-SEN, ZHONG YU-SHU, QI HUI and YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM[J]. Chinese Physics C, 1978, 2(2): 158-167.

YANG ZE-SEN, ZHONG YU-SHU, QI HUI and YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM[J]. Chinese Physics C, 1978, 2(2): 158-167. shu

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Received: 1977-09-21
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

A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

Received Date: 1977-09-21
Accepted Date: 1900-01-01
Available Online: 1978-04-05

Abstract: A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces.