Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Ylinen, Kari"'
Publikováno v:
Foundations of Physics, 49(6), 506-531 (2019)
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 further clarification on the operational meaning of the concept, and prese
Externí odkaz:
http://arxiv.org/abs/1905.06254
Publikováno v:
J. Math. Anal. Appl. 413, 250-268 (2014)
We consider various systematic ways of defining unbounded operator valued integrals of complex functions with respect to (mostly) positive operator measures and positive sesquilinear form measures, and investigate their relationships to each other in
Externí odkaz:
http://arxiv.org/abs/1303.1770
Autor:
Pellonpää, Juha-Pekka, Ylinen, Kari
Publikováno v:
Positivity 15 (3), 509-525 (2011)
A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert) modules over $C^*$-algebras is presented. The proof uses Kolmogorov type decompositions for positive-definite kernels with values in spaces of sesquilinear m
Externí odkaz:
http://arxiv.org/abs/1007.3218
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 natural domains of these unbounded operators. The results are then appli
Externí odkaz:
http://arxiv.org/abs/0809.0424
Publikováno v:
J. Math. Anal. Appl. 338 (2008) 716-725
We study decompositions of operator measures and more general sesquilinear form measures $E$ into linear combinations of positive parts, and their diagonal vector expansions. The underlying philosophy is to represent $E$ as a trace class valued measu
Externí odkaz:
http://arxiv.org/abs/0706.2121
Publikováno v:
J. Math. Anal. Appl. 336 (2007) 1287-1304
Positive operator measures (with values in the space of bounded operators on a Hilbert space) and their generalizations, mainly positive sesquilinear form measures, are considered with the aim of providing a framework for their generalized eigenvalue
Externí odkaz:
http://arxiv.org/abs/math/0703589
Noise sequences of infinite matrices associated with covariant phase and box localization observables are defined and determined. The canonical observables are characterized within the relevant classes of observables as those with asymptotically mini
Externí odkaz:
http://arxiv.org/abs/quant-ph/0601155
Publikováno v:
Phys. Lett. A 339 (2005) 18-22
The determination of a quantum observable from the first and second moments of its measurement outcome statistics is investigated. Operational conditions for the moments of a probability measure are given which suffice to determine the probability me
Externí odkaz:
http://arxiv.org/abs/quant-ph/0408186
The theory of holomorphic functions of several complex variables is applied in proving a multidimensional variant of a theorem involving an exponential boundedness criterion for the classical moment problem. A theorem of Petersen concerning the relat
Externí odkaz:
http://arxiv.org/abs/quant-ph/0108059
Publikováno v:
J. Phys. A: Mat. Gen. 34 (2001) 5923-5935
We study various ways of characterising the quantum optical number and phase as complementary observables.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/quant-ph/0105036