Back to Search
Start Over
Pauli Matrices: A Triple of Accardi Complementary Observables
- Source :
- Journal of Stochastic Analysis. 1
- Publication Year :
- 2020
- Publisher :
- Louisiana State University Libraries, 2020.
-
Abstract
- The definition due to Accardi of a pair of complementary observables is adapted to the context of the Lie algebra $ su(2) $. We show that the pair of Pauli matrices $ A,B $ associated to the unit directions $ \alpha $ and $ \beta $ in $ \mathbb{R}^{3} $ are Accardi complementary if and only if $ \alpha $ and $ \beta $ are orthogonal if and only if $ A $ and $ B $ are orthogonal. In particular, any pair of the standard triple of Pauli matrices is complementary.<br />Comment: 6 pages, clearer exposition, new abstract, one new reference
Details
- ISSN :
- 26896931
- Volume :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Stochastic Analysis
- Accession number :
- edsair.doi.dedup.....158e1d5ce69f47353098fdb02ae05345