Algebraic-statistical approach to quantum mechanics

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dc.creatorSlavnov, D. A.
dc.date2001-01-30
dc.date.accessioned2026-07-07T06:01:34Z
dc.date.available2026-07-07T06:01:34Z
dc.descriptionIt is proposed the scheme of quantum mechanics, in which a Hilbert space and the linear operators are not primary elements of the theory. Instead of it certain variant of the algebraic approach is considered. The elements of noncommutative algebra (observables) and the nonlinear functionals on this algebra (physical states) are used as the primary constituents. The functionals associate with results of a particular measurement. It is suggested to consider certain ensembles of the physical states as quantum states of the standart quantum mechanics. It is shown that in such scheme the mathematical formalism of the standart quantum mechanics can be reproduced completely.
dc.description9 pages, no figures, Latex
dc.identifierhttps://arxiv.org/abs/quant-ph/0101139
dc.identifierhttp://arxiv.org/abs/quant-ph/0101139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89305
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAlgebraic-statistical approach to quantum mechanics
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