THE ANTI-COMMUTATIVE, SELF-INVERSE MATRICES AND THE TRANSFORMATIONS IN EIGENVALUE PROBLEM

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Zhu Dong-pei. THE ANTI-COMMUTATIVE, SELF-INVERSE MATRICES AND THE TRANSFORMATIONS IN EIGENVALUE PROBLEM[J]. Chinese Physics C, 1980, 4(4): 423-432.
Zhu Dong-pei. THE ANTI-COMMUTATIVE, SELF-INVERSE MATRICES AND THE TRANSFORMATIONS IN EIGENVALUE PROBLEM[J]. Chinese Physics C, 1980, 4(4): 423-432. shu
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Received: 1979-03-06
Revised: 1900-01-01
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THE ANTI-COMMUTATIVE, SELF-INVERSE MATRICES AND THE TRANSFORMATIONS IN EIGENVALUE PROBLEM

  • University of Science and Technology of China

Abstract: With a representation of the rotation group induced by the anti-commutative, self-inverse matrices the transformations named by Foldy-Wouthuysen, Cini-Taschek,Chakrabarti and the others are treated from a unified viewpoint. A new transforma-tion is found. Some applications of this method in the eigenvalue problems are demon-strated.

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