A1 Refereed original research article in a scientific journal
Quantum mechanics: why complex Hilbert space?
Authors: Cassinelli G, Lahti P
Publisher: ROYAL SOC
Publication year: 2017
Journal: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences
Journal name in source: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Journal acronym: PHILOS T R SOC A
Article number: ARTN 20160393
Volume: 375
Issue: 2106
Number of pages: 9
ISSN: 1364-503X
eISSN: 1471-2962
DOI: https://doi.org/10.1098/rsta.2016.0393(external)
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 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'.
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'.
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