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Quantum mechanics: why complex Hilbert space? | LitMetric

Quantum mechanics: why complex Hilbert space?

Philos Trans A Math Phys Eng Sci

Department of Physics and Astronomy, University of Turku, Turku, Finland

Published: November 2017

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 Solér 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'.

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Source
http://dx.doi.org/10.1098/rsta.2016.0393DOI Listing

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