The Fermion Representation of the Phase Model

CUI Zhen-nan, BAI Yang, WANG Na, WU Ke

doi:10.13371/j.cnki.chin.q.j.m.2022.03.008

Chinese Quarterly Journal of Mathematics >

2022 , Vol. 37 >Issue 3: 317 - 330

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.03.008

The Fermion Representation of the Phase Model

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1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of
Mathematical Sciences, Capital Normal University, Beijing 100048, China

CUI Zhen-nan (1996-), female, native of Kaifeng, Henan, master degree candidate of Henan University, major in mathematical physics; BAI Yang (1998-), female, native of Anyang, Henan, master degree candidate of Henan University, major in mathematical physics; WANG Na (1982-), female, native of Kaifeng, Henan, associate professor of Henan University, engages in mathematical physics; WU Ke (1946-), male, professor of Capital Normal University, engages in mathematical physics.

Received date: 2022-07-12

Online published: 2022-09-19

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 12101184,
11871350); Supported by the Key Scientific Research Project in Colleges and Universities of Henan Province
(Grant No. 22B110003).

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Abstract

In this paper, we give a Fermion representation of the Phase model. We find
that the states in the phase model can be described by Maya diagrams, and operators can
be described by Fermions. We calculate the rule of multiplications of Young diagrams in
N ×M box by Fermions, and also calculate the relations in the Phase model by Fermions.

Key words： Phase model; Fermion; Maya diagram; Boson-Fermion correspondence

Cite this article

CUI Zhen-nan, BAI Yang, WANG Na, WU Ke . The Fermion Representation of the Phase Model[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(3) : 317 -330 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.03.008

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