Work in 1-dimension for simplicity. let ф(2', t) %3dt(2", 2)ф(т, t), where t(',x) is called the "space translation operator from x to x". so that r' = x + dx. explain why the following form makes (a) consider an infinitesimal space translation, sense for the corresponding "infinitesimal space translation operator": idx t(xdr, x) 1 + ô+ (dx2) (b) hence show that o is the momentum operator. (c) explain why the full space translation operator is thus given by and comment on the relationship of this expression to the usual taylor series expansion of /(x',t) around the point r