Math @ Duke

Publications [#287112] of Ingrid Daubechies
Papers Published
 Aerts, D; Daubechies, I, A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation,
Letters in Mathematical Physics, vol. 3 no. 1
(January, 1979),
pp. 1927, Springer Nature, ISSN 03779017 [doi]
(last updated on 2019/08/21)
Abstract: We display three equivalent conditions for a sublattice, isomorphic to a P {Mathematical expression}, of the propositional system P(ℋ) of a quantum system to be the representation of a physical subsystem (see [1]). These conditions are valid for dim {Mathematical expression}≥3. We prove that one of them is still necessary and sufficient if dim {Mathematical expression}<3. A physical interpretation of this condition is given. © 1979 D. Reidel Publishing Company.


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