A dilemma in representing observables in quantum mechanics

Physics – Quantum Physics

Scientific paper

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10 pages

Scientific paper

10.1088/0305-4470/35/43/310

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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