Maximal beable subalgebras of quantum mechanical observables
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Maximal beable subalgebras of quantum mechanical observables. / Halvorson, Hans; Clifton, Rob.
In: International Journal of Theoretical Physics, Vol. 38, No. 10, 1999, p. 2441-2484.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Maximal beable subalgebras of quantum mechanical observables
AU - Halvorson, Hans
AU - Clifton, Rob
PY - 1999
Y1 - 1999
N2 - Given a state on an algebra of bounded quantum mechanical observables, we investigate those subalgebras that are maximal with respect to the property that the given state's restriction to the subalgebra is a mixture of dispersion-free states - what we call maximal beable subalgebras (borrowing terminology due to J. S. Bell). We also extend our results to the theory of algebras of unbounded observables (as developed by Kadison), and show how our results articulate a solid mathematical foundation for certain tenets of the orthodox Copenhagen interpretation of quantum theory.
AB - Given a state on an algebra of bounded quantum mechanical observables, we investigate those subalgebras that are maximal with respect to the property that the given state's restriction to the subalgebra is a mixture of dispersion-free states - what we call maximal beable subalgebras (borrowing terminology due to J. S. Bell). We also extend our results to the theory of algebras of unbounded observables (as developed by Kadison), and show how our results articulate a solid mathematical foundation for certain tenets of the orthodox Copenhagen interpretation of quantum theory.
UR - http://www.scopus.com/inward/record.url?scp=0033248950&partnerID=8YFLogxK
U2 - 10.1023/A:1026628407645
DO - 10.1023/A:1026628407645
M3 - Journal article
AN - SCOPUS:0033248950
VL - 38
SP - 2441
EP - 2484
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
SN - 0020-7748
IS - 10
ER -
ID: 289119425