Roberts, Bryan W. (2016) Observables, Disassembled. [Preprint]

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Abstract

This paper argues that non-self-adjoint operators can be observables. There are only four ways for this to occur: non-self-adjoint observables can either be normal operators, or be symmetric, or have a real spectrum, or have none of these three properties. I explore each of these four classes of observables, arguing that the class of normal operators provides an equivalent formulation of quantum theory, whereas the other classes considerably extend it.

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Item Type:	Preprint
Creators:	Creators Email ORCID Roberts, Bryan W. b.w.roberts@lse.ac.uk 0000-0003-0548-1280
Keywords:	quantum theory, observables, non-Hermitian, non-self-adjoint
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics General Issues > Theory/Observation
Depositing User:	Dr. Bryan W. Roberts
Date Deposited:	14 Oct 2016 13:03
Last Modified:	14 Oct 2016 13:03
Item ID:	12478
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics General Issues > Theory/Observation
Date:	2016
URI:	https://philsci-archive.pitt.edu/id/eprint/12478

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• Observables, Disassembled. (deposited 14 Oct 2016 13:03) [Currently Displayed]
  • Observables, Disassembled. (deposited 06 Apr 2017 14:19)
    • Observables, Disassembled. (deposited 13 Mar 2018 00:21)

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