Quantum mechanics: why complex Hubert space?

We outline a programme for an axiomatic reconstruction of quantum mechanics based on the statistical duality of states and effects that combines the use of a theorem of Soler with the idea of symmetry. We also discuss arguments favouring the choice of the complex field. This article is part of the t...

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Bibliographic Details
Published inPhilosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 375; no. 2106; pp. 1 - 9
Main Authors Cassinelli, G., Lahti, P.
Format Journal Article
LanguageEnglish
Published THE ROYAL SOCIETY 13.11.2017
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Summary:We outline a programme for an axiomatic reconstruction of quantum mechanics based on the statistical duality of states and effects that combines the use of a theorem of Soler with the idea of symmetry. We also discuss arguments favouring the choice of the complex field. This article is part of the themed issue 'Second quantum revolution: foundational questions'.
ISSN:1364-503X
1471-2962