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Further Understanding of Hydrogen Atom: Yangian Approach and Physical Effect

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Abstract

By applying the representation theory of Y(sl(2)) to Hydrogen atom (HA) the correct spectrum are re-derived. This indicates the consistence between HA and the Yangian algebraic structure and guarantees that there is democracy between angular momentum L and Yangian current J in the sense of conserved currents. The physical effect of Yangian in HA has been predicted that preserves all the known results for HA, but gives rise to abnormal intensities in the spectrum lines near the free state.

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Authors and Affiliations

  1. Theoretical Physics Division, Nankai Institute of Mathematics, 300071, Tianjin, People's Republic of China

    Cheng-Ming Bai, Mo-Lin Ge & Kang Xue

  2. Center for Advanced Study, Tsinghua University, 100084, Beijing, People's Republic of China

    Mo-Lin Ge

  3. Phys. Dept. of Northeast University, 130024, Chang-Chun, People's Republic of China

    Kang Xue

Authors
  1. Cheng-Ming Bai
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  2. Mo-Lin Ge
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  3. Kang Xue
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Bai, CM., Ge, ML. & Xue, K. Further Understanding of Hydrogen Atom: Yangian Approach and Physical Effect. Journal of Statistical Physics 102, 545–557 (2001). https://doi.org/10.1023/A:1004834516013

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