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Generalized Spin-1/2 Operators and Their Eigenvectors

1999/06/01 by Habatwa Vincent Mweene, Mweene, Habatwa Vincent
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9906002

LaTeX, 10 pages.Replaced after thorough revision of notation and improvement to some sections

arxiv created 2000/07/01 · arxiv updated 2009/12/01

Abstract

Recently, we have shown how the interpretation of quantum mechanics due to Lande' can be used to derive from first principles generalized formulas for the operators and some eigenvectors for spin 1/2 Though we gave the operators for all the components of the spin, we did not give the eigenvectors of the operators for the x and y components of the spin. We now give these vectors. In addition, we present a new and simple method of deriving the operators for the x and y components of the spin as well as their vectors from those for the z component. We give a general proof that the operator for the square of the spin is the unit matrix multiplied by the value of the square of the spin.

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