Quantum description of angles in the plane

Roberto Beneduci, Emmanuel Frion, Jean-Pierre Gazeau

Quantum description of angles in the plane

Číslo: 1/2022
Periodikum: Acta Polytechnica
DOI: 10.14311/AP.2022.62.0008

Klíčová slova: integral quantization, real Hilbert spaces, quantum entanglement

Pro získání musíte mít účet v Citace PRO.

Přečíst po přihlášení

Anotace: The real plane with its set of orientations or angles in [0, π) 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.