THE REPRESENTATION THEORY in QUANTUM MECHANICS with NEGATIVE METRIC

In this paper the coherent state for the negative metric boson is established, which, originating from its particle number representation provides a basis for constructing its coordinate and nomenturn representations in the Euclidean space. However,it is demonstrated by us that these two representations do not exist in the Minkowski space. Thus this formulation provides a physical foundation for the path integral quantiration theory of the negative metric boson in the Euclidean space.