A dilemma in representing observables in quantum mechanics
D. A. Dubin, M. A. Hennings, P. Lahti, J. -P. Pellonpaa
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.
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