Quantum mechanics: why complex Hilbert space?



: Cassinelli G, Lahti P

Publisher: ROYAL SOC

: 2017

: Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

: PHILOS T R SOC A

: ARTN 20160393

: 375

: 2106

: 9

: 1364-503X

: 1471-2962

DOI: https://doi.org/10.1098/rsta.2016.0393


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'.



Last updated on 2024-26-11 at 17:47