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Covariant classical particle dynamics is described, and the associated covariant relativistic particle quantum mechanics is derived. The invariant symmetric bracket is defined on the space of quantum amplitudes, and its relation to a…

高能物理 - 理论 · 物理学 2007-05-23 T. Garavaglia

The dynamics of a particle in an expanding cavity is investigated in the Klein-Gordon framework in a regime in which the single particle picture remains valid. The cavity expansion represents a time-dependent boundary condition for the…

量子物理 · 物理学 2020-08-26 S. Colin , A. Matzkin

The quantum hydrodynamic-like equations for two real variables (i.e., the phase and the amplitude of the wave function) of the relativistic Klein-Gordon equation are derived in the present paper. The paper also shows that in classical limit…

量子物理 · 物理学 2015-09-22 Piero Chiarelli

We demonstrate how to construct a lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a multi-time formalism and a…

量子物理 · 物理学 2009-11-07 George Horton , Chris Dewdney

A quantum field theory is described which is a supersymmetric classical model. -- Supersymmetry generators of the system are used to split its Liouville operator into two contributions, with positive and negative spectrum, respectively. The…

高能物理 - 理论 · 物理学 2015-06-26 Hans-Thomas Elze

The empirical validity of the locality (LOC) principle of relativity is used to argue in favour of a local hidden variable theory (HVT) for individual quantum processes. It is shown that such a HVT may reproduce the statistical predictions…

量子物理 · 物理学 2007-05-23 W. De Baere

Grassmannian local hidden variables are shown to generate all possible quantum correlations in a bipartite quantum system. Grassmann representation of fermions, common in field theory, opens a related perspective. Although Grassmann hidden…

量子物理 · 物理学 2007-08-07 Lajos Diósi

Contrary to common belief, there are perspectives for generalizing the notion of positive and negative frequency in minisuperspace quantum cosmology, even when the wave equation does not admit symmetries. We outline a strategy in doing so…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Franz Embacher

It is argued that while quantum mechanics contains nonlocal or entangled states, the instantaneous or nonlocal influences sometimes thought to be present due to violations of Bell inequalities in fact arise from mistaken attempts to apply…

量子物理 · 物理学 2012-02-22 Robert B. Griffiths

Measurements performed on distant parts of an entangled quantum state can generate correlations incompatible with classical theories respecting the assumption of local causality. This is the phenomenon known as quantum non-locality that,…

量子物理 · 物理学 2018-02-28 S. G. A. Brito , B. Amaral , R. Chaves

Locally covariant algebraic quantum field theory (LCQFT) satisfies Einstein causality through microcausality and operational no-signalling, yet Bell-type correlations persist in entangled field states across spacelike regions. We…

广义相对论与量子宇宙学 · 物理学 2025-12-23 Joseph Samper Finberg

We investigate the relationship between nonlocal and local quantum field theories, and search for a viable notion of "local limit" to relate the unitary models. In Euclidean space it is relatively easy to have nonlocal theories with…

高能物理 - 理论 · 物理学 2025-09-17 Damiano Anselmi

In curved spacetimes, the lack of criteria for the construction of a unique quantization is a fundamental problem undermining the significance of the predictions of quantum field theory. Inequivalent quantizations lead to different physics.…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Jeronimo Cortez , Guillermo A. Mena Marugan , Javier Olmedo , Jose M. Velhinho

In this paper a nonlocal generalization of field quantization is suggested. This quantization principle presupposes the assumption that the commutator between a field operator an the operator of the canonical conjugated variable referring…

综合物理 · 物理学 2016-09-02 Martin Kober

When interactions are turned off, the theory of interacting quantum and classical ensembles due to Hall and Reginatto is shown to suffer from a nonlocal signaling effect that is effectively action at a distance. This limits the possible…

量子物理 · 物理学 2012-11-13 Michael J. W. Hall , Marcel Reginatto , C. M. Savage

These lecture notes give an exposition of microlocal analysis methods in the study of Quantum Field Theory on curved spacetimes. We concentrate on free fields and the corresponding quasi-free states and mainly on Klein-Gordon fields.Updated…

偏微分方程分析 · 数学 2023-09-07 Christian Gérard

Quantum field theory is mostly known as the most advanced and well-developed theory in physics, which combines quantum mechanics and special relativity consistently. In this work, we study the spinless quantum field theory, namely the…

综合物理 · 物理学 2013-03-08 Dong-Sheng Wang

In [Physical Review Letters 101, 050403 (2008)], we showed that quantum theory cannot be explained by a hidden variable model with a non-trivial local part. The purpose of this comment is to clarify our notion of local part, which seems to…

量子物理 · 物理学 2010-02-05 Roger Colbeck , Renato Renner

We develop a prequantum classical statistical model in that the role of hidden variables is played by classical (vector) fields. We call this model Prequantum Classical Statistical Field Theory (PCSFT). The correspondence between classical…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov

The relativistic quantum dynamics of an electrically charged particle subject to the Klein-Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic bound states, a particular quantum effect can be observed:…

量子物理 · 物理学 2016-05-04 R. L. L. Vitória , C. Furtado , K. Bakke