A further remark on uncertainty relations

Abstract

As pointed out earlier, the commutation relation 1/i[A, B]=C for quantum mechanical observablesA, B andC by itself does not imply the uncertainty relation ΔA·ΔB≧1/2¦¯C¦. In this note,A, B andC are assumed to be generators of a unitary representation of a suitable Lie group, such that is implied by the group structure. This assumption is then sufficient to yield.