Abstract
We prove that the algebra of effects in the phase space formalism of quantum mechanics forms an M. V. effect algebra and moreover a Heyting effect algebra. It contains no nontrivial projections. We equip this algebra with certain nontrivial projections by passing to the limit of the quantum expectation with respect to any density operator.
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PACS: Primary 02.10.Gd, 03.65.Bz, Secondary 002.20.Qs
This paper was a submission to the Sixth International Quantum Structure Association Conference (QS6), which took place in Vienna, Austria, July 1–7, 2002.
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Schroeck, F.E. Algebra of Effects in the Formalism of Quantum Mechanics on Phase Space as an M. V. and a Heyting Effect Algebra. Int J Theor Phys 44, 2101–2111 (2005). https://doi.org/10.1007/s10773-005-0343-7
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DOI: https://doi.org/10.1007/s10773-005-0343-7