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Diagonalization of Sp(2) matrices | | S. Baskal
; Elena Georgieva
; Y. S. Kim
; | | Date: |
11 Jan 2007 | | Subject: | Mathematical Physics | | Abstract: | The two-by-two Sp(2) matrix has three parameters with unit determinant. Yet, there are no established procedures for diagonalizing this matrix. It is shown that this matrix can be written as a similarity transformation of the two-by-two Wigner matrix, derivable from Wigner’s little group which dictates the internal space-time symmetries of relativistic particles. The Wigner matrix can be diagonalized for massive and space-like particles, while it takes a triangular form with unit diagonal elements for light-like particles. The most immediate physical application can be made to repeated one-dimensional transfer matrices appearing in many different branches of physics. Another application of current interest could be the dis-entanglement of entangled systems. | | Source: | arXiv, math-ph/0701028 | | Services: | Forum | Review | PDF | Favorites | |
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