A Non-Hermitian Approach of Dyson Boson Expansion in Interacting Boson Model

Deng Weizhen; Yang Zeshen; Wang Yucheng

Chinese Physics C> 1993, Vol. 17> Issue(S3) : 285-290

A Non-Hermitian Approach of Dyson Boson Expansion in Interacting Boson Model

Department of Physics, Peking University, Beijing, China

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Abstract：
Based on the Dyson boson expansion and the modified Jancovici-SchifF substitution, a one-one correspondence between the fermion collective pair space and interacting boson space is obtained. It is shown that one can uniquely determine the boson mappings of fermion operators and the IBM Hamiltonian takes a noii-Hermitian form. The fermion matrix elements are directly calculated in the IBM boson space. The rather complicated state projection, which is used to remove the spurious states, can also be performed there.
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Deng Weizhen, Yang Zeshen and Wang Yucheng. A Non-Hermitian Approach of Dyson Boson Expansion in Interacting Boson Model[J]. Chinese Physics C, 1993, 17(S3): 285-290.

Deng Weizhen, Yang Zeshen and Wang Yucheng. A Non-Hermitian Approach of Dyson Boson Expansion in Interacting Boson Model[J]. Chinese Physics C, 1993, 17(S3): 285-290. shu

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Received: 1992-06-15

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沈阳化工大学材料科学与工程学院沈阳 110142

A Non-Hermitian Approach of Dyson Boson Expansion in Interacting Boson Model

Department of Physics, Peking University, Beijing, China

Received Date: 1992-06-15

Abstract: Based on the Dyson boson expansion and the modified Jancovici-SchifF substitution, a one-one correspondence between the fermion collective pair space and interacting boson space is obtained. It is shown that one can uniquely determine the boson mappings of fermion operators and the IBM Hamiltonian takes a noii-Hermitian form. The fermion matrix elements are directly calculated in the IBM boson space. The rather complicated state projection, which is used to remove the spurious states, can also be performed there.