TY - JOUR
T1 - Algebras of measurements
T2 - The logical structure of quantum mechanics
AU - Lehmann, Daniel
AU - Engesser, Kurt
AU - Gabbay, Dov M.
PY - 2006/4
Y1 - 2006/4
N2 - In quantum physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute.
AB - In quantum physics, a measurement is represented by a projection on some closed subspace of a Hilbert space. We study algebras of operators that abstract from the algebra of projections on closed subspaces of a Hilbert space. The properties of such operators are justified on epistemological grounds. Commutation of measurements is a central topic of interest. Classical logical systems may be viewed as measurement algebras in which all measurements commute.
KW - Measurement algebras
KW - Quantum logic
KW - Quantum measurements
UR - http://www.scopus.com/inward/record.url?scp=33745805393&partnerID=8YFLogxK
U2 - 10.1007/s10773-006-9062-y
DO - 10.1007/s10773-006-9062-y
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AN - SCOPUS:33745805393
SN - 0020-7748
VL - 45
SP - 715
EP - 741
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 4
ER -