数学季刊 ›› 2022, Vol. 37 ›› Issue (3): 317-330.doi: 10.13371/j.cnki.chin.q.j.m.2022.03.008

• • 上一篇    

相位模型的费米子表示

  

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of
    Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • 收稿日期:2022-07-12 出版日期:2022-09-25 发布日期:2022-09-19
  • 通讯作者: WANG Na (1982-), female, native of Kaifeng, Henan, associate professor of Henan University, engages in mathematical physics E-mail:wangna@henu.edu.cn
  • 作者简介: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.
  • 基金资助:
     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).

The Fermion Representation of the Phase Model

  1. 1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. School of
    Mathematical Sciences, Capital Normal University, Beijing 100048, China
  • Received:2022-07-12 Online:2022-09-25 Published:2022-09-19
  • Contact: WANG Na (1982-), female, native of Kaifeng, Henan, associate professor of Henan University, engages in mathematical physics E-mail:wangna@henu.edu.cn
  • About author: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.
  • 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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摘要：  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.

关键词: Phase model, Fermion, Maya diagram, Boson-Fermion correspondence

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

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