q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States

Hao Sanru; Li Guanghua; Long Junyan

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(10) : 919-927

q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States

Department of Physics,Changsha Normal University of Water Resources and Electric Power, Changsha 410077

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Abstract：
By virtue of the algebra of the q-deformed fermion oscillators, the q-deformed charged fermion coherent states and SU(3) charged,hypercharged fermion coherent states are discussed.The explicit forms of the two kinds of coherent states mentioned above are obtained by making use of the completeness of base vectors in theq-fermion Fock space.By comparing the q-deformed results with the ordinary results,it is found that the q-deformed charged fermion coherent states and SU(3)charged, hypercharged fermion coherent states are automatically reduced to the ordinary charged fermion coherent states and SU(3)charged,hypercharged fermion coherent states if the deformed parameter q→1.

References

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L.C.Biedenhard,J.Phys.A:Math.Gen.,22（1989）L873.[2]A.J.Macfarlane,J.Phys.A:Math.Gen.,22（1989）4581.[3]C.P.Sun and H.C.Fu,J.Phys.A:Math.Gen.,22（1989）L983.[4]H.Y.Fan and C.P.Sun,Commun.Theor.Phys.,117（1992）243.[5]H.Y.Fan and T.N.Ruan,Commun.Theor.Phys.,2（1983）1405.[6]R.Parthasarathy and K.S.Viswantathan,J.Phys.A:Math.Gen.,24（1991）613.[7]S.R.Hao,J.Y.Long and G.H.Li,q-deformed JC model and its q-supercoherent states,Preprint（1993）.[8]S.R.Hao,G.H.Li andJ .Y.Long,Theq-superoscillators in supersymmetric quantum systems and theirq-supercoherent states,Preprint（1993）.[9]S.R.Hao,J.Y.Long and G.H.Liq-superoscillators transformation matrix and q-supercoherent states,Preprint（1993）.[10]D.Bhaumik,K.Bhaumik and Dutta-Roy,J.Phys.A:Math.Gen.,9（1976）1507.

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Hao Sanru, Li Guanghua and Long Junyan. q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States[J]. Chinese Physics C, 1994, 18(10): 919-927.

Hao Sanru, Li Guanghua and Long Junyan. q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States[J]. Chinese Physics C, 1994, 18(10): 919-927. 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

q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States

Corresponding author: Hao Sanru,

Department of Physics,Changsha Normal University of Water Resources and Electric Power, Changsha 410077

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-10-05

Abstract: By virtue of the algebra of the q-deformed fermion oscillators, the q-deformed charged fermion coherent states and SU(3) charged,hypercharged fermion coherent states are discussed.The explicit forms of the two kinds of coherent states mentioned above are obtained by making use of the completeness of base vectors in theq-fermion Fock space.By comparing the q-deformed results with the ordinary results,it is found that the q-deformed charged fermion coherent states and SU(3)charged, hypercharged fermion coherent states are automatically reduced to the ordinary charged fermion coherent states and SU(3)charged,hypercharged fermion coherent states if the deformed parameter q→1.