Joint Wigner distribution for spin-1/2 particles |
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Authors: | Leon Cohen Marlan O. Scully |
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Affiliation: | (1) Certer for Advanced Studies, University of New Mexico, 87131 Albuquerque, New Mexico;(2) Hunter College of the City University, 10021 New York, New York;(3) Max-Planck Institut fur Quantenoptik, D-8046 Garching bei Munchen, West Germany |
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Abstract: | The Wigner distribution has proven to be a useful tool in many quantum problems requiring a joint distribution of position and momentum. In the present paper we develop a joint distribution for spin components within the spirit of the Wigner distribution. This distribution provides an insight into the quantum theory of measurement. We also discuss how one may write joint distributions for two arbitrary noncommuting operators.It is a pleasure to dedicate this paper to Professor John A. Wheeler—physicist, philosopher, poet—an inspiration to us all.Work supported by the Office of Naval Research. |
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