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This paper examines the physical meaning of the wave function in Bohmian mechanics (BM), addressing the debate between causal and nomological interpretations. While BM postulates particles with definite trajectories guided by the wave…

量子物理 · 物理学 2025-06-05 Arnaud Amblard , Aurélien Drezet

I present a relativistic covariant version of the Bohmian interpretation of quantum mechanics and discuss the corresponding measurable predictions. The covariance is incoded in the fact that the nonlocal quantum potential transforms as a…

量子物理 · 物理学 2014-11-18 H. Nikolic

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

We formulate Bohmian mechanics (BM) such that the main objects of concern are macroscopic phenomena, while microscopic particle trajectories only play an auxiliary role. Such a formulation makes it easy to understand why BM always makes the…

量子物理 · 物理学 2020-03-12 H. Nikolic

The quantum mechanics is considered to be a partial case of the stochastic system dynamics. It is shown that the wave function describes the state of statistically averaged system $<\mathcal{S}_{st}>$, but not that of the individual…

综合物理 · 物理学 2007-05-23 Yuri A. Rylov

The Bloch wavefunction leads either to mathematically impossible consequences or suggests that the ground state energy is a function of size and shape when the geometry of large crystals is considered in detail. It is incompatible with the…

材料科学 · 物理学 2008-06-20 T. R. S. Prasanna

The supposed equivalence of the conventional interpretation of quantum mechanics with Bohm's interpretation is generally demonstrated only in the coordinate representation. It is shown, however, that in the momentum representation this…

综合物理 · 物理学 2014-04-29 Michael Nauenberg

Bohmian mechanics is a deterministic theory of quantum mechanics that is based on a set of n velocity functions for n particles, where these functions depend on the wavefunction from the n-body time-dependent Schroedinger equation. It is…

量子物理 · 物理学 2021-10-05 James P. Finley

It is often argued that measurable predictions of Bohmian mechanics cannot be distinguished from those of a theory with arbitrarily modified particle velocities satisfying the same equivariance equation. By considering the wave function of…

量子物理 · 物理学 2012-10-10 H. Nikolic

In order to arrive at Bohmian mechanics from standard nonrelativistic quantum mechanics one need do almost nothing! One need only complete the usual quantum description in what is really the most obvious way: by simply including the…

量子物理 · 物理学 2007-05-23 D. Dürr , S. Goldstein , N. Zanghi

In an article published in 2010, Kiukas and Werner claim to have shown that Bohmian Mechanics does not make the same empirical predictions as ordinary Quantum Mechanics. We explain that such claim is wrong.

We draw attention to an elementary flaw in a recently proposed experiment to measure the wave function of a single quantum system.

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. Samuel , R. Nityananda

Complexified Lienard-Wiechert potentials simplify the mathematics of Kerr-Newman particles. Here we constrain them by fiat to move along Bohmian trajectories to see if anything interesting occurs, as their equations of motion are not known.…

量子物理 · 物理学 2018-10-17 Mark Davidson

Standard Quantum Mechanics (QM) predicts an anti-intuitive fenomenon here referred to as "quantum autoscattering", which is excluded by Bhomian Mechanics. The scheme of a gedanken experiment testing the QM prediction is briefly discussed.

量子物理 · 物理学 2010-02-09 Artur Szczepanski

In their recent paper [Nature 643, 67 (2025)], Sharaglazova et al. report an optical microcavity experiment yielding an "energy-speed relationship" for quantum particles in evanescent states, which they infer from the observed population…

量子物理 · 物理学 2025-08-15 Aurélien Drezet , Dustin Lazarovici , Bernard Michael Nabet

In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics of this approach to the Bohmian mechanics. In…

量子物理 · 物理学 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

Bohmian mechanics is a quantum theory with a clear ontology. To make clear what we mean by this, we shall proceed by recalling first what are the problems of quantum mechanics. We shall then briefly sketch the basics of Bohmian mechanics…

量子物理 · 物理学 2007-05-23 Valia Allori , Nino Zangh\`ı

Two recent claims by A. Neumaier (quant-ph/0001011) and P. Ghose (quant-ph/0001024) that Bohmian mechanics is incompatible with quantum mechanics for correlations involving time are shown to be unfounded.

量子物理 · 物理学 2007-05-23 Louis Marchildon

The most puzzling issue in the foundations of quantum mechanics is perhaps that of the status of the wave function of a system in a quantum universe. Is the wave function objective or subjective? Does it represent the physical state of the…

量子物理 · 物理学 2011-01-25 Sheldon Goldstein , Nino Zanghì

Bohmian mechnaics is the most naively obvious embedding imaginable of Schr\"odingers's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at…

量子物理 · 物理学 2016-08-16 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı