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

Zhu Dong-pei

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2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(4) : 423-432

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

Zhu Dong-pei

University of Science and Technology of China

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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.

References

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M. Taketani and S. Sakata, Phys. Math. Soc.,22(1940),757;I.Tamm.Compt rend. acad.Sci.,29(1940), 551;W. Heitler, Proe, Roy. Irish Aead, 49(1943), 1.[2] D. L. Weaver, C. L. Hammer and R. H. Good, Jr. Phys. Rev, B241(1964), 135.[3] L. L. Foldy and Wouthuysen, Phys, Rev,, 78(1950), 29.[4] M. Cini and Tougchek, Nuovo Civnento, 7(1958), 420.[5] A. Chakrabarti, J. Math. Phys., 4(1963), 1215.[6] 朱栋培,中国科学技术大学学报,1975年第2期.[7]R. E. Moss and A. Okainski, Phys .Rev., 14(1976),3358.[9]W.Tsai and A. Yidizk, Phys. Rev.,D4(1971),3643.[10]W. Y. Tsai, Phys. Rev.,D7(1973),1945

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Zhu Dong-pei

University of Science and Technology of China

Received Date: 1979-03-06
Accepted Date: 1900-01-01
Available Online: 1980-08-05

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.