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 | ||||||
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| 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 |
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| Depositing User: | 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 |
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| Date: | 2016 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/12478 |
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