Quantum mechanics: why complex Hilbert space?-Reference-Cited by-同舟云学术

Quantum mechanics: why complex Hilbert space?

Published:2017-10-02 Issue:2106 Volume:375 Page:20160393
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Cassinelli G.¹,Lahti P.²^ORCID

Affiliation:

1. Department of Physics, University of Genoa and INFN Genoa Unit, Genoa, Italy

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

Abstract

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’.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2016.0393

Reference29 articles.

1. An operational approach to quantum probability

2. Foundations of Quantum Mechanics and Ordered Linear Spaces

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