Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Yu Zhaoxian; Zhang Dexing; Liu Yehou

Chinese Physics C> 1997, Vol. 21> Issue(11) : 999-1004

Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Department of Electronic Engineering, Daqing Institute of Petroleum, Anda 1514001 Chongqing Petrolem Advanced College, Chongqing 630042

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Abstract：
Two two-parameter deformed multi-mode boss operators which satisfy quantum Heisenberg-Weyl algebra are consbucted, and their algebraic structure. studied. As examples, the Holstein-Primokoff realizations for multi-node quantum. group SU(2)_q,s. and SU(1,1)_q,s are presented, and the eigenstates of the second power of the two-parameter deformed multi-mode bose operators are constructed, and their completenesses are proved.

References

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Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)[J]. Chinese Physics C, 1997, 21(11): 999-1004.

Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)[J]. Chinese Physics C, 1997, 21(11): 999-1004. 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

Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ)

Corresponding author: Yu Zhaoxian,

Department of Electronic Engineering, Daqing Institute of Petroleum, Anda 1514001 Chongqing Petrolem Advanced College, Chongqing 630042

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-11-05

Abstract: Two two-parameter deformed multi-mode boss operators which satisfy quantum Heisenberg-Weyl algebra are consbucted, and their algebraic structure. studied. As examples, the Holstein-Primokoff realizations for multi-node quantum. group SU(2)_q,s. and SU(1,1)_q,s are presented, and the eigenstates of the second power of the two-parameter deformed multi-mode bose operators are constructed, and their completenesses are proved.