A dilemma in representing observables in quantum mechanics
arXiv:quant-ph/0206168 · doi:10.1088/0305-4470/35/43/310
Abstract
There are self-adjoint operators which determine both spectral and semispectral measures. These measures have very different commutativity and covariance properties. This fact poses a serious question on the physical meaning of such a self-adjoint operator and its associated operator measures.
10 pages