40 citations · 154 across the 14 of their papers we have counts for
11 papers · 1 filter
Complementary observables in quantum mechanics
Jukka Kiukas, Pekka Lahti, Juha-Pekka Pellonpää +1
We review the notion of complementarity of observables in quantum mechanics, as formulated and studied by Paul Busch and his colleagues over the years. In addition, we provide furt…
Semispectral measures as convolutions and their moment operators
Jukka Kiukas, Pekka Lahti, Kari Ylinen
The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, with paying attention to the na…
Noise sequences of infinite matrices and their applications to the characterization of the canonical phase and box localization observables
Pekka Lahti, Maciej J. Maczynski, Egon Scheffold +1
Noise sequences of infinite matrices associated with covariant phase and box localization observables are defined and determined. The canonical observables are characterized within…
Notes on phase space quantization
J. Kiukas, P. Lahti, K. Ylinen
We consider questions related to a quantization scheme in which a classical variable f:Ω\to R on a phase space Ωis associated with a semispectral measure E^f, such that the moment…
Normal covariant quantization maps
J. Kiukas, P. Lahti, K. Ylinen
We consider questions related to quantizing complex valued functions defined on a locally compact topological group. In the case of bounded functions, we generalize R. Werner's app…
Moment operators of the Cartesian margins of the phase space observables
J. Kiukas, P. Lahti, K. Ylinen
The theory of operator integrals is used to determine the moment operators of the Cartesian margins of the phase space observables generated by the mixtures of the number states. T…