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Type: Artigo de periódico
Title: Quaternions, hexadecanions and the Schur complement in quantum mechanics
Author: Mizrahi, SS
de Oliveira, MC
Abstract: We review the mathematical object invented by Sir William Rowan Hamilton, which he called quaternion, and we study its association with the matrix structure known as complement of Schur. We analyze the positivity of quaternions when represented by 2x2 matrices. We extend this very concept to the larger mathematical object, which generalizes the quaternion, the hexadecanion, which we shall define and use. We apply Schur's method to a quantum state that describes a beam of particles characterized by discrete degrees of freedom, the internal parity and the spin, as proposed by Lee and Yang (1956 Phys. Rev. 104 822).
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Identifier DOI: 10.1088/0031-8949/2013/T153/014048
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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