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This work is about Bohmian mechanics, a non-relativistic quantum theory about the motion of particles and their trajectories, named after its inventor David Bohm (Bohm,1952). This mechanics resolves all paradoxes associated with the…

量子物理 · 物理学 2017-10-03 David Navia

Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory which predicts that particles follow deterministic trajectories in spacetime. Historically, the study of Bohmian trajectories has mainly been restricted to…

量子物理 · 物理学 2022-07-19 Joshua Foo , Estelle Asmodelle , Austin P. Lund , Timothy C. Ralph

It is shown that the Bohmian mechanics and the Madelung quantum hydrodynamics are different theories and the latter is a better ontological interpretation of quantum mechanics. A new stochastic interpretation of quantum mechanics is…

量子物理 · 物理学 2015-05-08 R. Tsekov

Interpretations of quantum mechanics (QM), or proposals for underlying theories, that attempt to present a definite realist picture, such as Bohmian mechanics, require strong non-local effects. Naively, these effects would violate causality…

量子物理 · 物理学 2017-06-20 Ya Xiao , Yaron Kedem , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

Pilot wave theory endows particles with definite positions at all times governed by deterministic dynamics. However, individual particle trajectories are generically undetectable by experiment. This idea might seem to be contested in light…

量子物理 · 物理学 2025-07-08 Johannes Fankhauser

We consider a class of phase space measures, which naturally arise in the Bohmian interpretation of quantum mechanics (when written in a Lagrangian form). We study the so-called classical limit of these Bohmian measures, in dependence on…

数学物理 · 物理学 2010-06-02 Peter Markowich , Thierry Paul , Christof Sparber

It was recently pointed out (and demonstrated experimentally) by Lundeen et al. that the wave function of a particle (more precisely, the wave function possessed by each member of an ensemble of identically-prepared particles) can be…

量子物理 · 物理学 2014-10-30 Travis Norsen , Ward Struyve

The reality of Bohm's intellectual journey is very different from what is often claimed by the proponents of "Bohmian Mechanics" and others as we will explain in this paper. He did not believe a mechanical explanation of quantum phenomena…

量子物理 · 物理学 2013-03-26 B. J. Hiley

Several situations, in which an empty wave causes an observable effect, are reviewed. They include an experiment showing ``surrealistic trajectories'' proposed by Englert et al. and protective measurement of the density of the quantum…

量子物理 · 物理学 2007-05-23 L. Vaidman

This chapter provides a comprehensive overview of the Bohmian formulation of quantum mechanics. It starts with a historical review of the difficulties found by Louis de Broglie, David Bohm, and John S. Bell to convince the scientific…

量子物理 · 物理学 2019-05-06 Xavier Oriols , Jordi Mompart

The violation of Bell type inequalities in quantum systems manifests that quantum states cannot be described by classical probability distributions. Yet, Bohmian mechanics is a realistic, non-local theory of classical particle trajectories…

量子物理 · 物理学 2025-02-26 Robert C. Helling

The recent experimental proposals by Bose et al. and Marletto et al. (BMV) outline a way to test for the quantum nature of gravity by measuring gravitationally induced differential phase accumulation over the superposed paths of two…

综合物理 · 物理学 2019-09-27 Thomas Andersen

In Bohmian mechanics, the nodes of the wave function play an important role in the generation of chaos. However, so far, most of the attention has been on moving nodes; little is known about the possibility of chaos in the case of…

量子物理 · 物理学 2016-10-25 A. Cesa , J. Martin , W. Struyve

The speed of gravity is an important universal constant. But, it has not been directly known with experiment or observation. The explanations for it are contradicted with each other. Here, it is presented that the interaction and…

综合物理 · 物理学 2013-11-26 Yin Zhu

In Bohmian mechanics particles follow continuous trajectories, hence 2-time position correlations are well defined. Nevertheless, Bohmian mechanics predicts the violation of Bell inequalities. Motivated by this fact we investigate position…

量子物理 · 物理学 2018-07-23 Nicolas Gisin

We outline how Bohmian mechanics works: how it deals with various issues in the foundations of quantum mechanics and how it is related to the usual quantum formalism. We then turn to some objections to Bohmian mechanics, for example the…

量子物理 · 物理学 2007-05-23 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

In this paper we generalize the ideas of de Broglie and Bohm to the relativistic case which is based on the relativistic Schr\"odinger equation. In this regard, the relativistic forms of the guidance equation and quantum potential are…

量子物理 · 物理学 2014-06-10 Jafar Khodagholizadeh , Javad Kazemi , Alireza Babazadeh

We seek an extension to Schrodinger's equation that incorporates the macroscopic measurement-induced wavefunction collapse phenomenon. We find that a suitable hybrid between two leading approaches, the Bohm-de Broglie pilot-wave and…

统计力学 · 物理学 2026-05-05 Axel van de Walle

The de Broglie-Bohm interpretation of quantum mechanics aims to give a realist description of quantum phenomena in terms of the motion of point-like particles following well-defined trajectories. This work is concerned by the de…

量子物理 · 物理学 2008-02-04 A. Matzkin , V. Nurock

The interpretations of a particular quantum gedanken experiment provided by Bohmian mechanics and consistent histories are shown to contradict each other, both in the absence and in the presence of a measuring device. The consistent history…

量子物理 · 物理学 2009-10-31 Robert B. Griffiths