Physics – Quantum Physics
Scientific paper
2004-10-11
Phys.Lett. A334 (2005) 370-375
Physics
Quantum Physics
Final section expanded
Scientific paper
10.1016/j.physleta.2004.12.012
We define a quantum-mechanical time operator that is selfadjoint and compatible with the energy operator having a spectrum bounded from below. On their common domain, the operators of time and energy satisfy the expected canonical commutation relation. Pauli's theorem is bypassed because the correspondence between time and energy is not given by the standard Fourier transformation, but by a variant thereof known as the holomorphic Fourier transformation.
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