Abstract: A generating operator of 4n-2 order evolution equation is obtained and this operator generates a semigroup when 4n-2 order evolution equation is changed into one order evolution equation set. The unitary semigroups which are generated by generating operator of 4n-2 order evolution equation is discussed. The unitary semigroups (n>1) are proven true when they append an equal yoke operator norm. In particular, the semigroup (n=1) is called Golstein's unitary and a more simply probative method to Ref.3 by semiring is offered.