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On the structure of quantum logic

Published online by Cambridge University Press:  12 March 2014

P. D. Finch
P. D. Finch*
Affiliation:
Monash University
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Extract

In the axiomatic development of the logic of nonrelativistic quantum mechanics it is not difficult to set down certain plausible axioms which ensure that the quantum logic of propositions has the structure of an orthomodular poset. This can be done in a number of ways, for example, as in Gunson [2], Mackey [4], Piron [5], Varadarajan [7] and Zierler [8], and we summarise one of these ways in §2 below.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 34 , Issue 2 , 25 July 1969 , pp. 275 - 282
Copyright
Copyright © Association for Symbolic Logic 1969

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References

[1] Birkhoff, G., Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, vol. 25, Amer. Math. Soc., Providence, R.I., 1967.Google Scholar
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