Is Quantum Mechanics an Exotic Probability Theory?
نویسندگان
چکیده
منابع مشابه
Quantum Mechanics as an Exotic Probability Theory
Recent results suggest that quantum mechanical phenomena may be interpreted as a failure of standard probability theory and may be described by a Bayesian complex probability theory.
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Realistic quantum mechanics based on complex probability theory is shown to have a frequency interpretation, to coexist with Bell's theorem, to be linear, to include wavefunctions which are expansions in eigenfunctions of Hermitian operators and to describe both pure and mixed systems. Illustrative examples are given. The quantum version of Bayesian inference is discussed.
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We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events, and the probability measures defined on it. The construction proceeds in the following steps: (a) Axioms for the algebra of events are introduced following Birkhoff and von Neumann. All axioms, except...
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With a view to eliminate an important misconception in some recent publications, we give a brief review of the notion of a pseudo-Hermitian operator, outline pseudo-Hermitian quantum mechanics, and discuss its basic difference with the indefinite-metric quantum mechanics. In particular, we show that the answer to the question posed in the title is a definite No.
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Quantum mechanics is one of the most surprising sides of modern physics. Its basic precepts require only undergraduate or early graduate mathematics; but because quantum mechanics is surprising, it is more difficult than these prerequisites suggest. Moreover, the rigorous and clear rules of quantum mechanics are sometimes confused with the more difficult and less rigorous rules of quantum field...
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ژورنال
عنوان ژورنال: Annals of the New York Academy of Sciences
سال: 1995
ISSN: 0077-8923
DOI: 10.1111/j.1749-6632.1995.tb39045.x