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A modified de Broglie-Bohm (dBB) approach to quantum mechanics is presented. In this new deterministic theory, which uses complex methods in an intermediate step, the problem of zero velocity for bound states encountered in the dBB…

Quantum Physics · Physics 2008-11-26 Moncy V. John

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

It is shown that the point charge and magnetic moment of electron produce together such a field that total electromagnetic momentum has a component perpendicular to electron velocity. As a result classical electron models, having magnetic…

Quantum Physics · Physics 2007-05-23 V. N. Melekhin

The quantum measurement problem may have a resolution in de Broglie-Bohm theory in which measurements lead to dynamical wavefunction collapse. We study the collapse in a simple setup and find that there may be slight differences between…

Quantum Physics · Physics 2021-06-15 Tanmay Vachaspati

A major disagreement between different views about the foundations of quantum mechanics concerns whether for a theory to be intelligible as a fundamental physical theory it must involve a "primitive ontology" (PO), i.e., variables…

Quantum Physics · Physics 2014-05-19 Valia Allori , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

With reference to primary sources it is shown that key claims made regarding the history of the pilot wave theory in Quantum Theory at the Crossroads are not supported by the historical record. It is also argued that the association of de…

History and Philosophy of Physics · Physics 2015-06-22 Peter Holland

We analyze the dynamics of a quantum particle in a one-dimensional bistable potential within the framework of Bohm's quantum mechanics. We give arguments that evidence the fallacy of certain claims found in the literature dealing with the…

Quantum Physics · Physics 2026-04-29 O. F. de Alcantara Bonfim

It is shown how bosonic material particles can emerge from a covariant formulation of de Broglie-Bohm theory. The formulation is based on the work of Nikolic. Material particles are continuous fields, formed as the eigenvalue of the…

Quantum Physics · Physics 2017-09-07 T. Mark Harder

The Bohm-de Broglie interpretation of quantum mechanics is applied to canonical quantum cosmology. It is shown that, irrespective of any regularization or choice of factor ordering of the Wheeler-DeWitt equation, the unique relevant quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 N. Pinto-Neto , E. Sergio Santini

Effects of a Bohmian type quantum-relativistic theory are explored. The model is obtained by introducing a new and independent time parameter whose relative motions are not directly observable and cause the quantum uncertainties of the…

General Physics · Physics 2024-10-24 Giuseppe Raguní

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

It is proved that in non-relativistic quantum mechanics (without spin) the transition probability may be described in terms of particle paths, every path having a (positive) probability. This leads to a stochastic hidden variables theory…

Quantum Physics · Physics 2022-08-30 Emilio Santos

The Copenhagen interpretation has been the subject of much criticism, notably by De Broglie and Einstein, because it contradicts the principles of causality and realism. The aim of this essay is to study the wave mechanics as an alternative…

History and Philosophy of Physics · Physics 2023-12-14 Olivier Rousselle

Recent philosophical discussions about metaphysical indeterminacy have been substantiated with the idea that quantum mechanics, one of the most successful physical theories in the history of science, provides explicit instances of worldly…

History and Philosophy of Physics · Physics 2024-03-12 Andrea Oldofredi

We explain the approximate nature of particle trajectories in Bohm's quantum mechanics. They are streamlines of a superfluid in Madelung's reformulation of the Schr\"{o}dinger wave function, around which the proper particle trajectories…

Quantum Physics · Physics 2013-08-26 Pisin Chen , Hagen Kleinert

The Bohm causal theory of quantum mechanics with spin-dependence is used to determine electron trajectories when a hydrogen atom is subjected to (semi-classical) radiation. The transition between the 1s ground state and the 2p0 state is…

Quantum Physics · Physics 2009-11-10 C. Colijn , E. R. Vrscay

The aim of this article is reproduce and analyze an original article of David Bohm sent to Louis de Broglie in 1951. This article is the older document of David Bohm about his well known hidden variable theory based on the pilot wave…

History and Philosophy of Physics · Physics 2021-03-02 Aurélien Drezet , Benjamin Stock

Mermin's "shut up and calculate!" somehow summarizes the most widely accepted view on quantum mechanics. This conception has led to a rather constraining way to think and understand the quantum world. Nonetheless, a closer look at the…

Quantum Physics · Physics 2014-04-17 A. S. Sanz

In this work, we review and extend a version of the old attempt made by Louis de broglie for interpreting quantum mechanics in realistic terms, namely the double solution. In this theory quantum particles are localized waves, i.e, solitons,…

Quantum Physics · Physics 2023-12-05 Aurélien Drezet

In De Broglie-Bohm Pilot-Wave Theory unique equations of motion and scalar fields for a particle can be formulated. This is done by finding a solution for a divergence free probability density current $\vec{J}(r,t)$ and then dividing by the…

Quantum Physics · Physics 2025-02-06 Connell Bristow