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Related papers: Path integrals, the ABL rule and the three-box par…

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We propose a novel interpretation of Quantum Mechanics, which can resolve the outstanding conflict between the principles of locality and realism and offers new insight on the so-called weak values of physical observables. The discussion is…

Quantum Physics · Physics 2014-11-20 David H. Oaknin

In the context of the Batalin-Vilkovisky formalism, a new observable for the Abelian BF theory is proposed whose vacuum expectation value is related to the Alexander-Conway polynomial. The three-dimensional case is analyzed explicitly, and…

High Energy Physics - Theory · Physics 2009-10-30 Alberto S. Cattaneo

The prediction of the N-box paradox, that whichever box is opened will contain the record of the particle having passed through it, is traced to a failure to specify whether the other boxes are distinguishable or indistinguishable. These…

Quantum Physics · Physics 2007-05-23 Conall Boyle , Roger Schafir

This paper is the answer to the paper by Kastner [Found. Phys., to be published, quant-ph/9807037] in which she continued the criticism of the counterfactual usage of the Aharonov-Bergman-Lebowitz rule in the framework of the…

Quantum Physics · Physics 2007-05-23 L. Vaidman

The magnetic Aharonov-Bohm (A-B) effect occurs when a point charge interacts with a line of magnetic flux, while its dual, the Aharonov-Casher (A-C) effect, occurs when a magnetic moment interacts with a line of charge. For the two…

Quantum Physics · Physics 2015-06-05 Scot McGregor , Ryan Hotovy , Adam Caprez , Herman Batelaan

We demonstrate the quantum probabilistic rule (which differ from classical Bayes' formula by the cosinus factor) can be obtained on purely classical basis as a consequence of the perturbation effect of preparation procedures. In any case…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

Theoretical considerations of Bell-inequality experiments usually assume identically prepared and independent pairs of particles. Here we consider pairs that exhibit both intra- and inter-pair entanglement. The pairs are taken from a large…

Quantum Physics · Physics 2009-12-17 S. Ashhab , Koji Maruyama , Caslav Brukner , Franco Nori

In the literature concerning the monopole matter, three gauges: Dirac, Schwinger, and Wu-Yang's, have been contrasted to each other, and the Wu-Yang's often appears as the most preferable one. The article aims to analyse this view by…

Quantum Physics · Physics 2011-09-15 V M Red'kov

Feynman's path integrals in ordinary, p-adic and adelic quantum mechanics are considered. The corresponding probability amplitudes $ K(x^{"},t^{"};x',t')$ for two-dimensional systems with quadratic Lagrangians are evaluated analytically and…

Mathematical Physics · Physics 2010-12-01 Branko Dragovich

A relation is obtained between weak values of quantum observables and the consistency criterion for histories of quantum events. It is shown that ``strange'' weak values for projection operators (such as values less than zero) always…

Quantum Physics · Physics 2007-05-23 R. E. Kastner

The Feynman Path Integral formalism has long been used for calculations of probability amplitudes. Over the last few years, it has been extensively used to theoretically demonstrate that the usual application of the superposition principle…

Quantum Physics · Physics 2018-07-20 G. Rengaraj , U. Prathwiraj , Surya Narayan Sahoo , R. Somashekhar , Urbasi Sinha

Bell's theorem is supposed to exclude all local hidden-variable models of quantum correlations. However, an explicit counterexample shows that a new class of local realistic models, based on generalized arithmetic and calculus, can exactly…

General Physics · Physics 2021-02-23 Marek Czachor

In the the double-slit experiment, nonclassical paths are Feynman paths that go through both slits. Prior work with atom cavities as which-way detectors in the double-slit experiment has shown these paths to be experimentally inaccessible.…

Quantum Physics · Physics 2020-11-02 J. O. de Almeida , M. Lewenstein , J. Q. Quach

We study transformations of conventional (`classical') probabilities induced by context transitions. It is demonstrated that the transition from one complex of conditions to another induces a perturbation of the classical rule for the…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

I defend my arguments in quant-ph/9806002, which have recently been criticized by L. Vaidman (quant-ph/9811092). I emphasize that the correct usage of the ABL rule applies not to a genuine counterfactual statement but rather to a…

Quantum Physics · Physics 2007-05-23 R. E. Kastner

A novel prediction is derived by the Two-State-Vector-Formalism (TSVF) for a particle superposed over three boxes. Under appropriate pre- and postselections, and with tunneling enabled between two of the boxes, it is possible to derive not…

Quantum Physics · Physics 2017-04-05 Yakir Aharonov , Eliahu Cohen , Ariel Landau , Avshalom C. Elitzur

In the context of generalized measurement theory, the Gleason-Busch theorem assures the unique form of the associated probability function. Recently, in Flatt et al. Phys. Rev. A 96, 062125 (2017), the case of subsequent measurements has…

Quantum Physics · Physics 2024-01-30 Martino Trassinelli

Quantum mechanics and gravitation are two pillars of modern physics. Despite their success in describing the physical world around us, they seem to be incompatible theories. There are suggestions that one of these theories must be…

Quantum Physics · Physics 2015-05-19 Urbasi Sinha , Christophe Couteau , Thomas Jennewein , Raymond Laflamme , Gregor Weihs

Quantum correlations are critical to our understanding of nature, with far-reaching technological and fundamental impact. These often manifest as violations of Bell's inequalities, bounds derived from the assumptions of locality and…

In his 1985 survey of notions of exchangeability, Aldous introduced a form of exchangeability corresponding to the symmetries of the infinite discrete cube, and asked whether these exchangeable probability measures enjoy a representation…

Probability · Mathematics 2008-08-19 Tim Austin