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We formulate quantum mechanics in spacetimes with real-order fractional geometry and more general factorizable measures. In spacetimes where coordinates and momenta span the whole real line, Heisenberg's principle is proven and the…

高能物理 - 理论 · 物理学 2012-10-18 Gianluca Calcagni , Giuseppe Nardelli , Marco Scalisi

We study the robustness of quantum and classical information to perturbations implemented by local operator insertions. We do this by computing multipartite entanglement measures in the Hilbert space of local operators in the Heisenberg…

高能物理 - 理论 · 物理学 2021-08-25 Jonah Kudler-Flam , Masahiro Nozaki , Shinsei Ryu , Mao Tian Tan

Understanding how and whether local perturbations can affect the entire quantum system is a fundamental step in understanding non-equilibrium phenomena such as thermalization. This knowledge of non-equilibrium phenomena is applicable for…

无序系统与神经网络 · 物理学 2024-04-03 Eric Mascot , Masahiro Nozaki , Masaki Tezuka

The existence of a hermitian time operator is proposed in the framework of non-relativistic quantum mechanics.The Heisenberg equation of motion is shown to yield constant rate of flow of time.It is shown to yield results consistent with…

量子物理 · 物理学 2015-07-21 Carringtone Kinyanjui , Dismas Simiyu Wamalwa

We study the problem of computing the probability for the time-of-arrival of a quantum particle at a given spatial position. We consider a solution to this problem based on the spectral decomposition of the particle's (Heisenberg) state…

量子物理 · 物理学 2009-10-30 Norbert Grot , Carlo Rovelli , Ranjeet S. Tate

A central theme in current work in quantum information and quantum foundations is to see quantum mechanics as occupying one point in a space of possible theories, and to use this perspective to understand the special features and properties…

量子物理 · 物理学 2013-06-19 Samson Abramsky , Chris Heunen

We formalize the concept of the modular energy operator within the Page and Wootters timeless framework. As a result, this operator is elevated to the same status as the more studied modular operators of position and momentum. In analogy…

量子物理 · 物理学 2022-04-12 Ismael L. Paiva , Marcin Nowakowski , Eliahu Cohen

An overview of the conceptuality interpretation of quantum mechanics is presented, along with an explanation of how it sheds light on key quantum and relativistic phenomena. In particular, we show how the interpretation clarifies…

量子物理 · 物理学 2025-12-17 Diederik Aerts , Massimiliano Sassoli de Bianchi , Sandro Sozzo

The locality issue of quantum mechanics is a key issue to a proper understanding of quantum physics and beyond. What has been commonly emphasized as quantum nonlocality has received an inspiring examination through the notion of Heisenberg…

量子物理 · 物理学 2024-06-11 Otto C. W. Kong

The problem is considered of describing the dynamics of quantum systems generated by a nonlocal in time interaction. It is shown that the use of the Feynman approach to quantum theory in combination with the canonical approach allows one to…

量子物理 · 物理学 2008-11-26 Renat Kh. Gainutdinov

In quantum mechanics, time is introduced as a non-measurable quantity, as there is no possibility to build a hermitian operator canonically conjugated to the Hamiltonian. We cannot have, therefore, the time operator, which means that the…

量子物理 · 物理学 2020-03-27 Andrzej Góźdź , Marek Góźdź

.We expound an alternative to the Copenhagen interpretation of the formalism of nonrelativistic quantum mechanics. The basic difference is that the new interpretation is formulated in the language of epistemological realism. The {\psi}…

量子物理 · 物理学 2019-07-18 Arthur Jabs

I review arguments demonstrating how the concept of "particle" numbers arises in the form of equidistant energy eigenvalues of coupled harmonic oscillators representing free fields. Their quantum numbers (numbers of nodes of the wave…

量子物理 · 物理学 2010-11-04 H. D. Zeh

Non commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non commutative configuration space. Taking this as departure point, we formulate a coherent state approach…

高能物理 - 理论 · 物理学 2015-05-13 Sunandan Gangopadhyay , Frederik G Scholtz

Status of quantum wavefunction is one of the most debated issues in quantum foundations -- whether it corresponds directly to the reality or just represents knowledge or information about some aspect of reality. In this letter we propose a…

量子物理 · 物理学 2021-09-01 Anandamay Das Bhowmik , Preeti Parashar , Manik Banik

I consider in this book a formulation of Quantum Mechanics. Usually QM is formulated based on the notion of time and space, both of which are thought a priori given quantities or notions. However, when we try to define the notion of…

量子物理 · 物理学 2011-01-10 Hitoshi Kitada

The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed which is compatible with the Hilbert-space…

量子物理 · 物理学 2013-02-13 Robert B. Griffiths

Quantum nonlocality without entanglement (Q-NWE) encapsulates nonlocal behavior of multipartite product states as they may entail global operation for optimal decoding of the classical information encoded within. Here we show that the…

量子物理 · 物理学 2020-03-25 Some Sankar Bhattacharya , Sutapa Saha , Tamal Guha , Manik Banik

The most peculiar, specifically quantum, features of quantum mechanics --- quantum nonlocality, indeterminism, interference of probabilities, quantization, wave function collapse during measurement --- are explained on a logical-geometrical…

量子物理 · 物理学 2016-09-08 Yuri Orlov

Nonlocality is a property of paramount importance both conceptually and computationally exhibited by quantum systems, which has no classical counterpart. Conceptually, it is important because it implies that the evolving system has…

量子物理 · 物理学 2011-11-09 A. S. Sanz , S. Miret-Artes
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