Diagonalization of Sp(2) matrices

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dc.creatorBaskal, S.
dc.creatorGeorgieva, Elena
dc.creatorKim, Y. S.
dc.date2007-01-11
dc.date.accessioned2026-07-07T07:41:55Z
dc.date.available2026-07-07T07:41:55Z
dc.descriptionThe 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.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0701028
dc.identifierhttp://arxiv.org/abs/math-ph/0701028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122295
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleDiagonalization of Sp(2) matrices
dc.typetext

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