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We discuss the generic phenomenology of quantum gravity and, in particular, argue that the observable effects of quantum gravity, associated with new, extended, non-local, non-particle-like quanta, and accompanied by a dynamical…

广义相对论与量子宇宙学 · 物理学 2016-05-17 Lay Nam Chang , Djordje Minic , Chen Sun , Tatsu Takeuchi

The quantum description of reality is quite different from the classical one. Understanding this difference at a fundamental level is still an interesting topic. Recently, Dragan and Ekert [New J. Phys. 22 (2020) 033038] postulated that…

量子物理 · 物理学 2023-10-17 Andrzej Grudka , Jȩdrzej Stempin , Jan Wójcik , Antoni Wójcik

This note provides an overview of the notion of observable within the setting of multisymplectic geometry. We essentially follow the ideas described by F. H\'elein and J. Kouneiher [17] [18] [19] and in particular in keeping with the…

数学物理 · 物理学 2012-03-28 Dimitri Vey

The notion coexistence of quantum observables was introduced to describe the possibility of measuring two or more observables together. Here we survey the various different formalisations of this notion and their connections. We review…

量子物理 · 物理学 2011-01-04 P. Busch , J. Kiukas , P. Lahti

It has been experimentally demonstrated that quantum coherence can persist in macroscopic phenomena [J.R. Friedman et al.,Nature, 406 (2000) 43]. To face the challenge of this new fact, in this article QM in its standard form is assumed to…

量子物理 · 物理学 2007-05-23 F. Herbut

A class of diffeomorphism invariant, physical observables, so-called astrometric observables, is introduced. A particularly simple example, the time delay, which expresses the difference between two initially synchronized proper time clocks…

广义相对论与量子宇宙学 · 物理学 2012-06-26 Igor Khavkine

Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this review, we show that, although still extremely difficult to reach, observational signatures can in fact be expected. The early universe is an invaluable…

广义相对论与量子宇宙学 · 物理学 2015-06-17 A. Barrau , T. Cailleteau , J. Grain , J. Mielczarek

We propose a general construction of an observable measuring the time of occurence of an effect in quantum theory. Time delay in potential scattering is computed as a straightforward application.

量子物理 · 物理学 2009-11-07 Romeo Brunetti , Klaus Fredenhagen

Every quantum physical system can be considered the ''shadow'' of a special kind of classical system. The system proposed here is classical mainly because each observable function has a well precise value on each state of the system: an…

量子物理 · 物理学 2007-05-23 Antonio Cassa

Contemporary scientific perspectivism is re-evaluated and extended to a comprehensive perspectivist methodology and 'mediated' realistic epistemology, especially, with reference to quantum mechanics. In the present study, this is realized…

量子物理 · 物理学 2018-06-26 Vassilios Karakostas , Elias Zafiris

Quantum particles in a potential are described by classical statistical probabilities. We formulate a basic time evolution law for the probability distribution of classical position and momentum such that all known quantum phenomena follow,…

量子物理 · 物理学 2011-12-16 C. Wetterich

A construction of the noncommutative-geometric counterparts of classical classifying spaces is presented, for general compact matrix quantum structure groups. A quantum analogue of the classical concept of the classifying map is introduced…

q-alg · 数学 2008-02-03 Mico Durdevic

The paper attempts to convince that the orthodox interpretation of quantum mechanics does not contradict philosophical realism by throwing light onto certain properties of quantum systems that seem to have escaped attention as yet. The…

量子物理 · 物理学 2008-02-07 P. Hajicek , J. Tolar

The algebra of observables associated with a quantum field theory is invariant under the connected component of the Lorentz group and under parity reversal, but it is not invariant under time reversal. If we take general covariance…

量子物理 · 物理学 2008-10-28 Peter Morgan

We introduce contextual values as a generalization of the eigenvalues of an observable that takes into account both the system observable and a general measurement procedure. This technique leads to a natural definition of a general…

量子物理 · 物理学 2010-06-16 J. Dressel , S. Agarwal , A. N. Jordan

In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

量子物理 · 物理学 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems.…

量子物理 · 物理学 2011-11-09 O. E. Barndorff-Nielsen , R. D. Gill , P. E. Jupp

The structure of covariant instruments is studied and a general structure theorem is derived. A detailed characterization is given to covariant instruments in the case of an irreducible representation of a locally compact group.

数学物理 · 物理学 2009-10-16 Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

We introduce an algebraic framework for interacting quantum systems that enables studying complex phenomena, characterized by the coexistence and competition of various broken symmetry states of matter. The approach unveils the hidden unity…

强关联电子 · 物理学 2009-11-07 G. Ortiz , C. D. Batista

Familiar textbook quantum mechanics assumes a fixed background spacetime to define states on spacelike surfaces and their unitary evolution between them. Quantum theory has changed as our conceptions of space and time have evolved. But…

广义相对论与量子宇宙学 · 物理学 2008-06-09 James B. Hartle