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The de~Broglie--Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We discuss the issue of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yuri Shtanov

Elements of a "deeper level" explanation of the deBroglie-Bohm (dBB) version of quantum mechanics are presented. Our explanation is based on an analogy of quantum wave-particle duality with bouncing droplets in an oscillating medium, the…

Quantum Physics · Physics 2015-04-20 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

Bohmian mechanics is a theory that provides a consistent explanation of quantum phenomena in terms of point particles whose motion is guided by the wave function. In this theory, the state of a system of particles is defined by the actual…

Quantum Physics · Physics 2016-10-05 Albert Solé , Xavier Oriols , Damiano Marian , Nino Zanghì

We investigate the phenomenon of the diffraction of charged particles by thin material targets using the method of the de Broglie-Bohm quantum trajectories. The particle wave function can be modeled as a sum of two terms…

Quantum Physics · Physics 2016-12-21 N. Delis , C. Efthymiopoulos , G. Contopoulos

Within Bohm`s interpretation of quantum mechanics particles follow classical trajectories that are determined by the full solution of the time dependent Schroedinger equation. If this interpretation is consistent it must be possible to…

Quantum Physics · Physics 2007-05-23 Heinz Rupertsberger

The use of Bohmian mechanics as a practical tool for modeling non-relativistic quantum phenomena of matter provides clear evidence of its success, not only as a way to interpret the foundations of quantum mechanics, but also as a…

Quantum Physics · Physics 2026-04-28 Juan José Seoane , Abdelilah Benali , Xavier Oriols

The causal quantum mechanics (i.e. Bohmian or de Broglie-Bohm or Bohm-de Broglie quantum mechanics) has made possible to calculate the trajectories of electrons in a typical double-slit experiment [C. Philippidis et al., Il Nuovo Cimento,…

Quantum Physics · Physics 2022-04-25 E. Sergio Santini , Germán M. Chiappe , Rafael González

We perform an experimental test where we directly observe light-induced electron transitions with a macroscopic spatial discontinuity. The effect is related to the fundamental indivisibility of macroscopic orbit-like quantum states…

Quantum Physics · Physics 2018-06-27 Sergey A. Emelyanov

It is shown how Fermionic material particles can emerge from a covariant formulation of the de Broglie-Bohm theory. Material particles are continuous fields, formed as the eigenvalue of the Schrodinger field operator, evaluated along a…

Quantum Physics · Physics 2016-10-06 T. Mark Harder

In the framework of the de Broglie-Bohm pilot-wave theory, or Bohmian mechanics, we examine two pedagogical problems that illustrate the bound and unbound motion of spin-1/2 particles: First, a single spin-1/2 particle trapped in the ground…

Quantum Physics · Physics 2024-04-30 Siddhant Das

The causal interpretation of quantum mechanics, as originally stated by deBroglie and Bohm, had several attractive features. Among these is the possibility that it could address some of the most fundamental questions on quantum phenomena.…

Quantum Physics · Physics 2007-05-23 R. H. Parmenter , Andrew L. DiRienzo

Bohmian mechanics is a realistic interpretation of quantum theory. It shares the same ontology of classical mechanics: particles following continuous trajectories in space through time. For this ontological continuity, it seems to be a good…

Quantum Physics · Physics 2016-03-11 Davide Romano

So-called hidden variables introduced in quantum mechanics by de Broglie and Bohm have changed their initial enigmatic meanings and acquired quite reasonable outlines of real and measurable characteristics. The start viewpoint was the…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

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…

Quantum Physics · Physics 2025-07-08 Johannes Fankhauser

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

De Broglie's quest for a wave-like approach capable of representing the position of a moving particle, is satisfied, in the case of time-independent external fields, by assuming that each particle runs along the virtual trajectories…

Quantum Physics · Physics 2021-04-26 Adriano Orefice , Raffaele Giovanelli , Domenico Ditto

In this review we deal with open (dissipative and stochastic) quantum systems within the Bohmian mechanics framework which has the advantage to provide a clear picture of quantum phenomena in terms of trajectories, originally in…

Quantum Physics · Physics 2022-08-10 S. V. Mousavi , S. Miret-Artes

A new hidden variable theory is proposed, according to which particles follows definite trajectories, as in Bohmian Mechanics or Nelson's stochastic mechanics; in the new theory, however, the trajectories are classical, i.e. Newtonian. This…

Quantum Physics · Physics 2007-05-23 Bruno Galvan

The significance of the de Broglie-Bohm hidden-particle position in the relativistic regime is addressed, seeking connection to the (orthodox) single-particle Newton-Wigner position. The effect of non-positive excursions of the ensemble…

Quantum Physics · Physics 2018-11-27 David L. Bartley

De Broglie and Bohm formulated a causal quantum mechanics with a phase space density whose integral over momentum reproduces the position probability density of usual statistical quantum theory. We propose a causal quantum theory with a…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. M. Roy , V. Singh