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.
Original language | English |
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Pages (from-to) | 19-27 |
Number of pages | 9 |
Journal | Letters in Mathematical Physics |
Volume | 3 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 1979 |