  Pauli's theorem asserts that the canonical commutation relation $[T,H]=iI$
only admits Hilbert space solutions that form a system of imprimitivities on
the real line, so that only non-self-adjoint time operators exist in single
Hilbert quantum mechanics. This, however, is contrary to the fact that there is
a large class of solutions to $[T,H]=iI$, including self-adjoint time operator
solutions for semibounded and discrete Hamiltonians. Consequently the theorem
has brushed aside and downplayed the rest of the solution set of the
time-energy canonical commutation relation.
