Connection of fields quantized in overlapping regions and the Unruh effect

For the example of a field quantized for positive values of the spatial coordinate (when particle creation certainly cannot occur) it is shown that incorrect use of the formula for the creation and annihilation operators leads to a transformation from the creation and armihilation operators to those in Minkowski space that corresponds to particle creation. It is shown that the connection of fields quantized in the Minkowski and Pdndler spaces has an analogous nature, i.e., a creation effect cannot be observed in the Rindler space. The correspondence between subspaces of states of these fields is considered.