J4 ›› 2011, Vol. 46 ›› Issue (1): 56-66.

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The matrix elements of Zeeman Hamiltonian in |3PJMJ〉 scheme

SUN Yun1, TANG Xu-bing1, HUANG Shi-zhong2   

  1. 1. School of Mathematics and Physics, Anhui University of Technology, Maanshan  243002, Anhui, China;
    2. School of physics and Electronic information, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2009-11-17 Online:2011-12-14 Published:2011-03-16


Based on the spherical tensor form of the Zeeman Hamiltonian of multi-electron atom and by using the matrix elements of one-particle and two-particle operators in the Slater scheme, the matrix elements of Zeeman Hamiltonian (including the quadratically field-dependent terms) for |3PJMJ〉 scheme are carried out in virtue of angular momentum coupling theory and irreducible tensor theory. Take 1s4p configuration of helium for example, fine structure splitting on the 43P state of Helium has been calculated and the energy levels are plotted as a function of magnetic field.

Key words: Zeeman Hamiltonian; spherical tensor form; matrix element

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