Quantum Description of Angles in the Plane

Autor: Beneduci, Roberto, Frion, Emmanuel, Gazeau, Jean-Pierre
Rok vydání: 2021
Předmět:
Zdroj: Acta Polytechnica 62(1):8-15, 2022
Druh dokumentu: Working Paper
DOI: 10.14311/AP.2022.62.0008
Popis: The real plane with its set of orientations or angles in $[0,\pi)$ is the simplest non trivial example of a (projective) Hilbert space and provides nice illustrations of quantum formalism. We present some of them, namely covariant integral quantization, linear polarisation of light as a quantum measurement, interpretation of entanglement leading to the violation of Bell inequalities, and spin one-half coherent states viewed as two entangled angles.
Comment: 8 pages. Matches the published version in the AAMP Special Issue of the diamond Open-Access journal Acta Polytechnica
Databáze: arXiv