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It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories cannot be defined. We show this situation is due to the fact…

Quantum Physics · Physics 2022-09-22 M. Alkhateeb , A. Matzkin

We present a local interpretation of what is usually considered to be a nonlocal de Broglie-Bohm trajectory prescription for an entangled singlet state of massive particles. After reviewing various meanings of the term ``nonlocal'', we show…

Quantum Physics · Physics 2007-06-27 Michael Clover

We study the de Broglie-Bohm interpretation of bosonic relativistic quantum mechanics and argue that the negative densities and superluminal velocities that appear in this interpretation do not lead to inconsistencies. After that, we study…

Quantum Physics · Physics 2014-11-18 H. Nikolic

Relative motion of particles is examined in the context of relational space-time. It is shown that de Broglie waves may be derived as a representation of the coordinate maps between the rest-frames of these particles. Energy and momentum…

General Physics · Physics 2024-08-30 Tony Lyons

This paper is concerned with the causally symmetric version of the familiar de Broglie-Bohm interpretation, this version allowing the spacelike nonlocality and the configuration space ontology of the original model to be avoided via the…

Quantum Physics · Physics 2025-02-24 Roderick Sutherland

A simple relativistic quantum hidden-variable theory of particle trajectories, similar to the Bohm theory but without nonlocal forces between the particles, is proposed. To provide compatibility with statistical predictions of quantum…

Quantum Physics · Physics 2010-10-12 H. Nikolic

We derive the Boltzmann equation and the collision kernel for massive spin-1/2 particles, using the Wigner-function formalism and employing an expansion in powers of $\hbar$. The phase space is enlarged to include a variable related to the…

Nuclear Theory · Physics 2021-08-04 Nora Weickgenannt , Enrico Speranza , Xin-li Sheng , Qun Wang , Dirk H. Rischke

Non-relativistic de Broglie-Bohm theory describes particles moving under the guidance of the wave function. In de Broglie's original formulation, the particle dynamics is given by a first-order differential equation. In Bohm's…

Quantum Physics · Physics 2014-12-15 Sheldon Goldstein , Ward Struyve

Here the probability density of relativistic particles coordinates, satisfying the formal conditions of the quantum mechanics and the special relativity, is determined (under textbooks view, such density does not exist). It is specified for…

Quantum Physics · Physics 2009-03-17 V. F. Krotov

A general entangled qubit pair is analyzed in the de Broglie-Bohm formalism corresponding to two spin-1/2 quantum rotors. Several spin-spin correlators of Bohm's hidden variables are analyzed numerically and a detailed comparison with…

Quantum Physics · Physics 2015-06-04 A. Ramsak

In the de Broglie-Bohm quantum theory, particles describe trajectories determined by the flux associated with their wave function. These trajectories are studied here for relativistic spin-one-half particles.Based in explicit numerical…

Quantum Physics · Physics 2023-07-28 Olivier Piguet

The uniqueness of the Bohmian particle interpretation of the Kemmer equation, which describes massive spin-0 and spin-1 particles, is discussed. Recently the same problem for spin-1/2 was dealt with by Holland. It appears that the…

Quantum Physics · Physics 2007-07-03 W. Struyve , W. De Baere , J. De Neve , S. De Weirdt

This paper introduces an extension of the de Broglie-Bohm-Bell formulation of quantum mechanics, which includes intrinsic particle degrees of freedom, such as spin, as elements of reality. To evade constraints from the Kochen-Specker…

Quantum Physics · Physics 2022-09-21 Jeroen C. Vink

We put forward an interpretation of scalar quantum field theory as relativistic quantum mechanics by curing well known problems related to locality. A probabilistic interpretation of quantum field theory similar to quantum mechanics is…

High Energy Physics - Theory · Physics 2010-12-20 W. Westra

Quantum-mechanical observables for spatial and spacetime localization are considered from a lattice-theoretic perspective. It is shown that when replacing the lattice of all complex orthogonal projections underlying the Born rule by the…

Mathematical Physics · Physics 2026-02-13 Gandalf Lechner , Ivan Romualdo de Oliveira

It is shown that a general model for particle detection in combination with a linear application of the Wigner rotations, which correspond to momentum-dependent changes of the particle spin under Lorentz transformations, to the state of a…

Quantum Physics · Physics 2017-07-04 Pablo L. Saldanha , Vlatko Vedral

The de Broglie - Bohm Interpretation of Quantum Mechanics assigns positions and trajectories to particles. We analyze the validity of a formula for the velocities of Bohmian particles which makes the analysis of these trajectories…

Quantum Physics · Physics 2015-06-05 Gillie Naaman-Marom , Noam Erez , Lev Vaidman

The de Broglie-Bohm theory is a hidden variable interpretation of quantum mechanics which involves particles moving through space with definite trajectories. This theory singles out position as the primary ontological variable.…

In the extension of the de-Broglie-Bohm causal quantum theory of motion to the relativistic particles, one faces with serious problems, like the problem of superluminal motion. This forces many authors to believe that there is not any…

Quantum Physics · Physics 2007-05-23 Ali Shojai , Mehdi Golshani

Bohmian mechanics, also referred to as the de Broglie-Bohm pilot-wave theory, represents a deterministic and nonlocal interpretation of quantum mechanics. Since its origination in 1927, despite many attempts, reconciling it with…

Quantum Physics · Physics 2025-09-16 Yun-Fei Wang , Hui Wang , Tong Zhang , Yi-Teng Ye , Xiao-Yu Wang , Chao-Yang Lu , Jian-Wei Pan
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