 The recipe for constructing a quantum theory of a given physical systems prescribes algebraic relations between the operators representing the dynamical variables of the system. Compatible observables are associated with operators that commute with each other. Operators representing conjugate variables are required to satisfy what are called the canonical commutation relations. If \(q\) is some coordinate, and \(p\) its conjugate momentum, the operators \(Q\) and \(P\) representing them are required to not commute. Instead, the difference between \(PQ\) and \(QP\) is required to be a multiple of the identity operator (that is, the operator \(I\) that satisfies, for all operators \(A\), \(IA = AI).\)