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This article is cited in 13 scientific papers (total in 13 papers)
Proper versus improper mixtures: Toward a quaternionic quantum mechanics
F. Masillo, G. Scolarici, S. Sozzo Università del Salento
Abstract:
The density operators obtained by taking partial traces represent improper mixtures of subsystems of
a compound physical system because the coefficients in the convex sums expressing them never bear
the ignorance interpretation. Assigning states to these subsystems is consequently problematic in standard quantum mechanics (subentity problem). In the semantic realism interpretation of quantum mechanics, it is instead proposed to consider improper mixtures true nonpure states conceptually distinct from proper mixtures. Based on this proposal, we show that proper and improper mixtures can be represented by different density operators in the quaternionic formulation of quantum mechanics and can hence be distinguished even from
a mathematical standpoint. We provide a simple example related to the quantum theory of measurement.
Keywords:
quaternionic quantum mechanics, proper mixture, improper mixture, subentity problem, semantic realism.
Citation:
F. Masillo, G. Scolarici, S. Sozzo, “Proper versus improper mixtures: Toward a quaternionic quantum mechanics”, TMF, 160:1 (2009), 157–167; Theoret. and Math. Phys., 160:1 (2009), 1006–1013
Linking options:
https://www.mathnet.ru/eng/tmf6387https://doi.org/10.4213/tmf6387 https://www.mathnet.ru/eng/tmf/v160/i1/p157
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Abstract page: | 726 | Full-text PDF : | 192 | References: | 61 | First page: | 8 |
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