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

Publication
, Journal Article

Aerts, D; Daubechies, I

Published in: Letters in Mathematical Physics

January 1, 1979

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.

### Duke Scholars

## Published In

Letters in Mathematical Physics

## DOI

## EISSN

1573-0530

## ISSN

0377-9017

## Publication Date

January 1, 1979

## Volume

3

## Issue

1

## Start / End Page

19 / 27

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences

### Citation

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Chicago

ICMJE

MLA

NLM

Aerts, D., & Daubechies, I. (1979). A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation.

*Letters in Mathematical Physics*,*3*(1), 19–27. https://doi.org/10.1007/BF00959534Aerts, D., and I. Daubechies. “A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation.”

*Letters in Mathematical Physics*3, no. 1 (January 1, 1979): 19–27. https://doi.org/10.1007/BF00959534.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. 1979 Jan 1;3(1):19–27.

Aerts, D., and I. Daubechies. “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, Jan. 1979, pp. 19–27.*Scopus*, doi:10.1007/BF00959534.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. 1979 Jan 1;3(1):19–27.

## Published In

Letters in Mathematical Physics

## DOI

## EISSN

1573-0530

## ISSN

0377-9017

## Publication Date

January 1, 1979

## Volume

3

## Issue

1

## Start / End Page

19 / 27

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences