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A quantum-mechanical central limit theorem for anti-commuting observables

Published online by Cambridge University Press:  14 July 2016

R. L. Hudson
R. L. Hudson*
Affiliation:
University of Nottingham
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Abstract

A quantum-mechanical central limit theorem for sums of pairwise anti-commuting representations of the canonical anti-commutation relations over a finite-dimensional space is formulated and proved.

Keywords

CENTRAL LIMIT THEOREMQUANTUM MECHANICSCANONICAL ANTI-COMMUTATION RELATIONSCUMULANTSQUASI-FREE STATESNON-COMMUTATIVE PROBABILITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 502 - 509
Copyright
Copyright © Applied Probability Trust 1973 

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References

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