# Pauli Lubanski Vector Operator, Eigenvalue Problem and Entanglement

## TL;DR

This paper investigates the eigenvalue problem of the Pauli-Lubanski vector operator's spin matrix, exploring the entanglement properties of its eigenvectors and their relation to degeneracy.

## Contribution

It introduces a detailed analysis of the eigenvalue problem for the Pauli-Lubanski vector operator and links entanglement characteristics to degeneracy phenomena.

## Key findings

- Eigenvectors exhibit specific entanglement properties.
- Degeneracy correlates with entanglement features.
- New insights into the structure of the Pauli-Lubanski vector eigenstates.

## Abstract

We study an eigenvalue problem for a spin matrix arising in the Pauli Lubanski vector operator. Entanglement of the eigenvectors and its connection with degeneracy is discussed.