A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Aerts, D; Daubechies, I

Published Date

  • January 1, 1979

Published In

Volume / Issue

  • 3 / 1

Start / End Page

  • 19 - 27

Electronic International Standard Serial Number (EISSN)

  • 1573-0530

International Standard Serial Number (ISSN)

  • 0377-9017

Digital Object Identifier (DOI)

  • 10.1007/BF00959534

Citation Source

  • Scopus