Publications [#287112] of Ingrid Daubechies

Papers Published

1. 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. 19-27, Springer Nature, ISSN 0377-9017 [doi]
   (last updated on 2026/01/13)

   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.