What could have we been missing while Pauli's Theorem was in force?

Details What could have we been missing while Pauli's Theorem was in force? What could have we been missing while Pauli's Theorem was in force?

2003-03-18

arxiv.org/abs/quant-ph/0303106v1

Physics

Quantum Physics

To appear in the proceedings of the ``International Colloquium in Time and Matter,'' Venice, Italy, August 11-24, 2002 (World

Scientific paper

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.

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