# Entangled or Not?

**Classical Mechanics**Level 2

Is the following state \(|\Psi\rangle\) entangled?

\[|\Psi\rangle = \frac{1}{\sqrt{2}} (|\downarrow\downarrow\rangle + |\downarrow\uparrow\rangle).\]

**Note**: The notation \(|\uparrow\downarrow\rangle = |\uparrow\rangle \otimes |\downarrow\rangle\) is a common shorthand for tensor products of spin states.