Bell's inequality for a system composed of particles with different spin

TL;DR

This paper derives Bell's inequality for systems with particles of different spins and demonstrates its violation in specific spin combinations, highlighting quantum nonlocality in such systems.

Contribution

It introduces Bell's inequality for mixed-spin systems and shows its violation, extending the understanding of quantum nonlocality beyond identical spin particles.

Findings

Bell's inequality derived for mixed-spin systems

Violations observed in spin-1 and 1/2, and spin-1/2 and 3/2 systems

Supports quantum nonlocality in diverse particle spin configurations

Abstract

For two particles with different spin, we derive the Bell's inequality. The inequality is investigated for two systems combining spin-1 and 1/2; spin-1/2 and 3/2. We show that for these states Bell's inequality is violated.