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Particles with 2 states and Lorentz transformations

Published online by Cambridge University Press:  09 April 2009

John M. Blatt  and
C. A. Hurst
John M. Blatt
Affiliation:
Applied Mathematics Department University of New South Wales Kensington, N.S.W.
C. A. Hurst
Affiliation:
Mathematical Physics Department University of Adelaide Adelaide, S.A.
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In this note, we draw attention to a natural connection between a group closely related to the homogeneous Lorentz group, and the most general set of measurements possible on particles with only two discrete states. We may think of these two states as “spin up” and “spin down’, represented by the vectors α = (1, 0) and β = (0, 1), respectively.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 2 , May 1966 , pp. 221 - 222
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Weyl, H., The Classical Groups (Princeton Mathematical Series, Princeton, N.J.).Google Scholar