What could have we been missing while Pauli's Theorem was in force?
arXiv:quant-ph/0303106
Abstract
Pauli's theorem asserts that the canonical commutation relation 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 , 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.
To appear in the proceedings of the ``International Colloquium in Time and Matter,'' Venice, Italy, August 11-24, 2002 (World Scientific). 12 pages