On representing observables in quantum mechanics
: Dubin DA, Hennings MA, Lahti P, Pellonpaa JP
Publisher: IOP PUBLISHING LTD
: 2002
: Journal of Physics -London- a Mathematical and General
: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
: J PHYS A-MATH GEN
: PII S0305-4470(02)38683-9
: 35
: 43
: 9113
: 9121
: 9
: 0305-4470
DOI: https://doi.org/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 opens additional possibilities with regard to the physical meaning of such a self-adjoint operator and its associated operator measures.