Abstract

Abstract : During the past three years the author and his collaborators have made a systematic study of matrices A and B which satisfy the Clifford conditions A sup 2 = B sup 2 = I AB = -BA. It was demonstrated that there is a 'shell structure' in the anticommuting matrices and a consequent telescoping of eigenvalues of an L-matrix which is a linear combination of anticommuting matrices. It is now observed that the form of the weak interaction Hamiltonian in elementary particle physics is an interesting manifestation of the shell structure. (Author)

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