The orbital angular momentum operator is a vector operator, meaning it can be written in terms of its vector components L = ( L x , L y , L z ) . The components have the following commutation relations with each other: [ L x , L y ] = i ℏ ℏ L z , [ L y , L z ] = i ℏ ℏ L x , [ L z , L x ] = i ℏ ℏ L y ,