Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

Yu Zhaoxian; Zhang Dexing; Liu Yehou

Chinese Physics C> 1998, Vol. 22> Issue(3) : 225-233

Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

Daqing Institute of Petroleum, Anda 1514001 Chongqing Petroleum Advanced Polytechnic College,Chongqing 630042

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Abstract：
The eigenstates of the higher power of the two-paranneter deformed multi-mode bose opcmtors are constructed. It is found that they form a complete Hilbert space Further more, the mathematical structure and the corresponding boson realization of the two-parameterr deformed quantum algebra SL_q,s(3) are given, and the 1/2 ratk tensor-like operators of SL_q,s(2) are also presented. It is pointed out that the results of SL_q,s(3) is easily generalized to a multi-mode case.

References

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[1]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[2]	JIANG Jun-Qin . Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(1): 15-18.
[3]	HUANG Chun-Qing , JIANG Jun-Qin . Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(3): 196-199.
[4]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[5]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[6]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[7]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅱ). Chinese Physics C, 1998, 22(1): 28-33.
[8]	Shi Kangjie , Yang Wenli , Fan Heng , Hou Boyu . Bosonized Vertex Operators Realize Z-F Algebra for Z_n Symmetric Belavin R Matrix. Chinese Physics C, 1997, 21(8): 706-713.
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[11]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[12]	Yu Zhaoxian , Yu Ge , Zhang Dexing , Liu Yehou . Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s). Chinese Physics C, 1996, 20(12): 1082-1086.
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Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)[J]. Chinese Physics C, 1998, 22(3): 225-233.

Yu Zhaoxian, Zhang Dexing and Liu Yehou. Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)[J]. Chinese Physics C, 1998, 22(3): 225-233. 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

Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

Corresponding author: Yu Zhaoxian,

Daqing Institute of Petroleum, Anda 1514001 Chongqing Petroleum Advanced Polytechnic College,Chongqing 630042

Received Date: 1900-01-01

Accepted Date: 1900-01-01

Available Online: 1998-03-05

Abstract: The eigenstates of the higher power of the two-paranneter deformed multi-mode bose opcmtors are constructed. It is found that they form a complete Hilbert space Further more, the mathematical structure and the corresponding boson realization of the two-parameterr deformed quantum algebra SL_q,s(3) are given, and the 1/2 ratk tensor-like operators of SL_q,s(2) are also presented. It is pointed out that the results of SL_q,s(3) is easily generalized to a multi-mode case.

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Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ)

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