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Quantum mechanics is able to predict challenging behaviors even in the simplest physical scenarios. These behaviors are possible because of the important dynamical role that phase plays in the evolution of quantum systems, and are very…

Quantum Physics · Physics 2024-11-19 A. S. Sanz

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…

Quantum Physics · Physics 2013-03-26 B. J. Hiley

The paper points out that the modern formulation of Bohm's quantum theory known as Bohmian mechanics is committed only to particles' positions and a law of motion. We explain how this view can avoid the open questions that the traditional…

History and Philosophy of Physics · Physics 2014-06-06 Michael Esfeld , Dustin Lazarovici , Mario Hubert , Detlef Dürr

Bohmian mechanics and the Ghirardi-Rimini-Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter…

Quantum Physics · Physics 2008-11-26 Valia Allori , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

``Weak'', ``protective'', and ``delayed observation'' measurements are analyzed in the framework of the Bohm interpretation of quantum theory. It is argued that the above varieties of measurements manifest some difficulties of the Bohm…

Quantum Physics · Physics 2007-05-23 Yakir Aharonov , Lev Vaidman

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…

Quantum Physics · Physics 2007-05-23 Valia Allori , Nino Zangh\`ı

A recent article claims to measure the speed of quantum particles in the classically forbidden regime where the energy of the particles is lower than the local potential, and further claims that the results of this experiment challenge…

Quantum Physics · Physics 2025-08-07 Matthew Dickau

Bohmian mechanics is an interpretation of quantum mechanics that describes the motion of quantum particles with an ensemble of deterministic trajectories. Several attempts have been made to utilize Bohmian trajectories as a computational…

Quantum Physics · Physics 2018-08-24 Tarek A. Elsayed , Klaus Mølmer , Lars Bojer Madsen

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole to dynamical relations describing the evolution of…

Quantum Physics · Physics 2016-04-05 Andrea Oldofredi , Dustin Lazarovici , Dirk-André Deckert , Michael Esfeld

Quantum gravity aims to describe gravity in quantum mechanical terms. How exactly this needs to be done remains an open question. Various proposals have been put on the table, such as canonical quantum gravity, loop quantum gravity, string…

General Relativity and Quantum Cosmology · Physics 2019-08-22 Nelson Pinto-Neto , Ward Struyve

The semiclassical method is characterized by finite forces and smooth, well-behaved trajectories, but also by multivalued representational functions that are ill-behaved at turning points. In contrast, quantum trajectory methods--based on…

Quantum Physics · Physics 2009-11-13 Bill Poirier

In classical statistical mechanics, the partition function is defined in phase space. We extend this concept to quantum statistical mechanics using Bohmian trajectories. The quantum partition function in phase space captures the ensemble of…

Quantum Physics · Physics 2025-11-20 Bingyu Cui

We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of particle motion, which in particular ascribes trajectories to…

Quantum Physics · Physics 2007-05-23 Detlef Duerr , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

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…

Quantum Physics · Physics 2017-10-03 David Navia

The question of the representation of quantum stationary partially polarized waves as random superpositions of different polarization ellipses is addressed. To this end, the Bohmian formulation of quantum mechanics is considered and…

Optics · Physics 2013-06-28 A. Luis , A. S. Sanz

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…

Quantum Physics · Physics 2017-06-20 Ya Xiao , Yaron Kedem , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo

The classical behaviour of a macroscopic system consisting of a large number of microscopic systems is derived in the framework of the Bohmian interpretation of quantum mechanics. Under appropriate assumptions concerning the localization…

Quantum Physics · Physics 2016-09-08 H. Geiger , G. Obermair , Ch. Helm

We explain why, in a configuration space that is multiply connected, i.e., whose fundamental group is nontrivial, there are several quantum theories, corresponding to different choices of topological factors. We do this in the context of…

Quantum Physics · Physics 2007-05-23 Detlef Duerr , Sheldon Goldstein , James Taylor , Roderich Tumulka , Nino Zanghi

Bell's theorem states that some quantum correlations can not be represented by classical correlations of separated random variables. It has been interpreted as incompatibility of the requirement of locality with quantum mechanics. We point…

Quantum Physics · Physics 2007-05-23 Igor V. Volovich

Bohmian mechanics supplements the quantum wavefunction with deterministic particle trajectories, offering an alternate, dynamical language for quantum theory. However, the Bohmian particle does not affect its guiding wave, so the wave field…

Quantum Physics · Physics 2024-08-13 David Darrow