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The consistent histories approach to quantum mechanics is traditionally based on linearly ordered sequences of events. We extend the histories formalism to sets of events whose causal ordering is described by directed acyclic graphs. The…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. F. Blute , I. T. Ivanov , P. Panangaden

Decoherent histories quantum theory is reformulated with the assumption that there is one "real" fine-grained history, specified in a preferred complete set of sum-over-histories variables. This real history is described by embedding it in…

量子物理 · 物理学 2013-09-04 Murray Gell-Mann , James B. Hartle

Do the partial order and ortholattice operations of a quantum logic correspond to the logical implication and connectives of classical logic? Re-phrased, how far might a classical understanding of quantum mechanics be, in principle,…

量子物理 · 物理学 2014-02-24 Cristian S. Calude , Peter H. Hertling , Karl Svozil

The following two papers form a natural development of a previous series of three articles on the foundations of quantum mechanics; they are intended to take the theory there developed to its utmost logical and epistemological consequences.…

量子物理 · 物理学 2008-02-03 L. S. F. Olavo

We reconsider the Decoherent Histories approach to Quantum Mechanics and we analyze some problems related to its interpretation which, according to us, have not been adequately clarified by its proponents. We put forward some assumptions…

量子物理 · 物理学 2007-05-23 Angelo Bassi , GianCarlo Ghirardi

In consistent history quantum theory, a description of the time development of a quantum system requires choosing a framework or consistent family, and then calculating probabilities for the different histories which it contains. It is…

量子物理 · 物理学 2009-10-30 Robert B. Griffiths

The basic ingredients of the `consistent histories' approach to quantum theory are a space $\UP$ of `history propositions' and a space $\D$ of `decoherence functionals'. In this article we consider such history quantum theories in the case…

广义相对论与量子宇宙学 · 物理学 2009-10-28 S. Schreckenberg

Symmetries have a crucial role in today's physics. In this thesis, we are mostly concerned with time reversal invariance (T-symmetry). A physical system is time reversal invariant if its underlying laws are not sensitive to the direction of…

物理学史与哲学 · 物理学 2018-03-01 Reza Moulavi Ardakani

I show that the application of the quantum-mechanical (QM) which-way weak measurement scheme of Vaidman may lead to logical inconsistencies. To this end, I study weak values of projection operators. Weak values are (normalized) amplitudes,…

量子物理 · 物理学 2018-04-16 B. E. Y. Svensson

This note is a review of the recently revealed intriguing connection between integrable quantum spin chains and integrable many-body systems of classical mechanics. The essence of this connection lies in the fact that the spectral problem…

数学物理 · 物理学 2017-11-22 A. Zabrodin

A recent claim by Bassi and Ghirardi that the consistent (decoherent) histories approach cannot provide a realistic interpretation of quantum theory is shown to be based upon a misunderstanding of the single-framework rule: they have…

量子物理 · 物理学 2007-05-23 Robert B. Griffiths

In the macroscopic world, time is intrinsically asymmetric, flowing in a specific direction, from past to future. However, the same is not necessarily true for quantum systems, as some quantum processes produce valid quantum evolutions…

In these continuation papers (VI and VII) we are interested in approach the problem of spin from a classical point of view. In this first paper we will show that the spin is neither basically relativistic nor quantum but reflects just a…

量子物理 · 物理学 2009-09-25 L. S. F. Olavo

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

In [11], Newton da Costa together with the author of this paper argued in favor of the possibility to consider quantum superpositions in terms of a paraconsistent approach. We claimed that, even though most interpretations of quantum…

量子物理 · 物理学 2015-02-19 Christian de Ronde

The two ways of constrained systems quantization are considered from the point of view of their self-consistency at the quantum level. With a transparent example of a particle in the external electromagnetic field we demonstrate that the…

高能物理 - 唯象学 · 物理学 2007-05-23 Yu. S. Kalashnikova , A. V. Nefediev

A hypothetical formulation of quantum mechanics is presented so as to reconcile it with macro-realism. On the analogy drawn from thermodynamics, an objective description of wave packet reduction is postulated, in which a characteristic…

量子物理 · 物理学 2007-05-23 Takuya Okabe

The experimental proofs of strong time invariance violation in optics are discussed. Time noninvariance is the only real physical base for explanation the origin of the most phenomena in nonlinear optics. The experimental study of forward…

综合物理 · 物理学 2007-05-23 V. A. Kuz'menko

Recent work with Dowker on the scientific status of the consistent histories approach to quantum theory is reviewed and summarised. The approach is compared with formulations of quantum theory, such as Bohmian mechanics and the Copenhagen…

量子物理 · 物理学 2008-02-03 Adrian Kent

Classical mechanics and standard Copenhagen quantum mechanics respect subspace implications. For example, if a particle is confined in a particular region $R$ of space, then in these theories we can deduce that it is confined in regions…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Adrian Kent