Proof of “Irreducible Postulation” and Its Applications

Zou Pengcheng; Huang Yongchang

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1995, Vol. 19> Issue(S4) : 375-378

Proof of “Irreducible Postulation” and Its Applications

Zou Pengcheng ¹ ,
Huang Yongchang ²

1 Department of Physics, Sichuan University, Chengdu, Sichuan, China;
2 Institute of Modern Physics, Southwest Jiaotong University, Chengdu, Sichuan, China

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Abstract：
The "irreducible postulation" in group theory is first proved and applied to the classification of quantum states. This postulation assumes that, after considering the whole symmetry of a system, the degeneracy space of any energy level must be an irreducible space of its symmetric group. It also means that the accidental degeneracy does not exist, in fact, if the whole symmetry of a system is found.
- group theory ,
- irreducibility postulation ,
- accidental degeneracy ,
- nuclear energy level

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Zou Pengcheng and Huang Yongchang. Proof of “Irreducible Postulation” and Its Applications[J]. Chinese Physics C, 1995, 19(S4): 375-378.

Zou Pengcheng and Huang Yongchang. Proof of “Irreducible Postulation” and Its Applications[J]. Chinese Physics C, 1995, 19(S4): 375-378. shu

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Received: 1994-10-18

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Proof of “Irreducible Postulation” and Its Applications

Zou Pengcheng ^1,
Huang Yongchang ^2,

1 Department of Physics, Sichuan University, Chengdu, Sichuan, China;
2 Institute of Modern Physics, Southwest Jiaotong University, Chengdu, Sichuan, China

Received Date: 1994-10-18

Abstract: The "irreducible postulation" in group theory is first proved and applied to the classification of quantum states. This postulation assumes that, after considering the whole symmetry of a system, the degeneracy space of any energy level must be an irreducible space of its symmetric group. It also means that the accidental degeneracy does not exist, in fact, if the whole symmetry of a system is found.