Abstract
In this chapter we will introduce the notions of antonymous and observable functions put forward in [18]. These are utilised to express the physical quantise \(\breve {\delta }(\hat {A})\) corresponding to the self-adjoint operators \(\hat {A}\) in a more efficient way, which does not relay on calculating the approximations of \(\breve {\delta }(\hat {A})\) for each context \(V\in \mathcal {V}\) as it was done in [26].
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Notes
- 1.
Here \(\mathcal {N}_{sa}\) denotes the set of all self-adjoint operators in \(\mathcal {N}\).
- 2.
Here \(C(\mathcal {N})\) indicates the category of abelian von Neumann subalgebras of \(\mathcal {N}\).
References
A. Doering, The physical interpretation of daseinisation. arXiv: 1004.3573 [quant-ph]
A. Doering, C. Isham, ‘What is a thing?’: Topos theory in the foundations of physics. arXiv:0803.0417 [quant-ph]
C. Flori, A First Course in Topos Quantum Theory. Lecture Notes in Physics, vol. 868 (Springer, Heidelberg, 2013)
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Flori, C. (2018). Observables in Terms of Antonymous and Observable Functions. In: A Second Course in Topos Quantum Theory. Lecture Notes in Physics, vol 944. Springer, Cham. https://doi.org/10.1007/978-3-319-71108-9_4
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DOI: https://doi.org/10.1007/978-3-319-71108-9_4
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