Chinese Physics C > 1982, Vol. 6 > Issue(3): 317-322

THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS

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Abstract：
In this paper we have proved that the wave functions for bosons and fermionscan be classified by either of the following two Lie superalgebra chains U(2l+1/2j+1) SU(2l+1/2j+1) SU(2l+1) SU(2j+1) SO(2l+1) Sp(2j+1) SO(3) SO(3), U(2l+1/2j+1) SU(2l+1/2j+1) OSp(2l+1/2j+1) SO(2l+1) Sp(2j+1) SO(3) SO(3) The wave functions for bosons and fermions classified by the Lie superalgebra chain U(2l+1/2j+1) SU(2l+1/2j+1) SU(2l+1) SU(2j+1) SO(2l+1) Sp(2j+1) SO(3) SO(3), are calculated also.

References

[1]	Kac, V. G., Commun. Math. Phys., 53(1977), 31.[2] 韩其智等, 阶化李代数SU(m/n)的不可约表示, 5(1981). 546.

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SUN HONG-ZHOU and HAN QI-ZHI. THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS[J]. Chinese Physics C, 1982, 6(3): 317-322.

SUN HONG-ZHOU and HAN QI-ZHI. THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS[J]. Chinese Physics C, 1982, 6(3): 317-322. shu

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Received: 1980-10-13
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS

SUN HONG-ZHOU
HAN QI-ZHI

Received Date:1980-10-13
Accepted Date:1900-01-01
Available Online:1982-06-05

Abstract:In this paper we have proved that the wave functions for bosons and fermionscan be classified by either of the following two Lie superalgebra chainsU(2l+1/2j+1)SU(2l+1/2j+1)SU(2l+1)SU(2j+1)SO(2l+1)Sp(2j+1)SO(3)SO(3),U(2l+1/2j+1)SU(2l+1/2j+1)OSp(2l+1/2j+1)SO(2l+1)Sp(2j+1)SO(3)SO(3) The wave functions for bosons and fermions classified by the Lie superalgebra chainU(2l+1/2j+1)SU(2l+1/2j+1)SU(2l+1)SU(2j+1)SO(2l+1)Sp(2j+1)SO(3)SO(3), are calculated also.