Dilations of positive operator measures and bimeasures related to quantum mechanics

Year, pages: 2004, 169 - 189

In this largely expository paper, dilations of positive operator measures and bimeasures are studied in view of applications to quantum mechanics. Integration with respect to positive operator measures is developed to the extent needed in studying the moment problem of quantum observables. The minimal dilation of the canonical phase observable is related to the Toepliz measure, and the connection of a Schrödinger couple to a pair of coordinate operators on a phase space is worked out. Sequential combinations of instruments and the problem of the coexistence of quantum observables are studied as an application of dilations of operator bimeasures.

Lahti, P., Ylinen, K. 2004. Dilations of positive operator measures and bimeasures related to quantum mechanics. In Mathematica Slovaca, vol. 54, no.2, pp. 169-189. 0139-9918.

Lahti, P., Ylinen, K. (2004). Dilations of positive operator measures and bimeasures related to quantum mechanics. Mathematica Slovaca, 54(2), 169-189. 0139-9918.