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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 3, Pages 510–529
DOI: https://doi.org/10.4213/tmf1795 (Mi tmf1795) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Necessary and sufficient postulates of quantum mechanics

D. A. Slavnov

M. V. Lomonosov Moscow State University
Full-text PDF (285 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf1795
Abstract: We describe a system of axioms that, on one hand, is sufficient for constructing the standard mathematical formalism of quantum mechanics and, on the other hand, is necessary from the phenomenological standpoint. In the proposed scheme, the Hilbert space and linear operators are only secondary structures of the theory, while the primary structures are the elements of a noncommutative algebra (observables) and the functionals on this algebra, associated with the results of a single observation.
Keywords: quantum postulates, quantum measurement, algebra of observables, physical reality.
Received: 31.03.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 3, Pages 431–446
DOI: https://doi.org/10.1007/s11232-005-0034-9
Bibliographic databases:
Language: Russian
Citation: D. A. Slavnov, “Necessary and sufficient postulates of quantum mechanics”, TMF, 142:3 (2005), 510–529; Theoret. and Math. Phys., 142:3 (2005), 431–446
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:93
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