Canonical Commutation Relations

$[X_i,X_j]=0$ $[P_i,P_j]=0$ $[X_i,P_j]=i\hslash {\delta }_{ij}$ Where

• $X_i$ is the Position Operator on the ith dimension
• $P_j$ is the Momentum Operator on the jth dimension.
• $\hslash$ is Planck’s reduced constant.
• ${\delta }_{ij}={\mathbb{I}}_{\{i=j\}}$ is the Kronecker delta