A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Complementary Observables in Quantum Mechanics
Tekijät: Kiukas J, Lahti P, Pellonpaa JP, Ylinen K
Kustantaja: SPRINGER
Julkaisuvuosi: 2019
Journal: Foundations of Physics
Tietokannassa oleva lehden nimi: FOUNDATIONS OF PHYSICS
Lehden akronyymi: FOUND PHYS
Vuosikerta: 49
Numero: 6
Aloitussivu: 506
Lopetussivu: 531
Sivujen määrä: 26
ISSN: 0015-9018
eISSN: 1572-9516
DOI: https://doi.org/10.1007/s10701-019-00261-3
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/40799705
Tiivistelmä
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 present several characterisations of complementaritysome of which newin a unified manner, as a consequence of a basic factorisation lemma for quantum effects. We work out several applications, including the canonical cases of position-momentum, position-energy, number-phase, as well as periodic observables relevant to spatial interferometry. We close the paper with some considerations of complementarity in a noisy setting, focusing especially on the case of convolutions of position and momentum, which was a recurring topic in Paul's work on operational formulation of quantum measurements and central to his philosophy of unsharp reality.
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 present several characterisations of complementaritysome of which newin a unified manner, as a consequence of a basic factorisation lemma for quantum effects. We work out several applications, including the canonical cases of position-momentum, position-energy, number-phase, as well as periodic observables relevant to spatial interferometry. We close the paper with some considerations of complementarity in a noisy setting, focusing especially on the case of convolutions of position and momentum, which was a recurring topic in Paul's work on operational formulation of quantum measurements and central to his philosophy of unsharp reality.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
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