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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

Of all basic principles of classical physics, realism should arguably be the last to be given up when seeking a better interpretation of quantum mechanics. We examine the de Broglie-Bohm pilot wave theory as a well developed example of a…

Quantum Physics · Physics 2020-12-22 Eliahu Cohen , Marina Cortês , Avshalom C. Elitzur , Lee Smolin

The paper shows how the Bohmian approach to quantum physics can be applied to develop a clear and coherent ontology of non-perturbative quantum gravity. We suggest retaining discrete objects as the primitive ontology also when it comes to a…

History and Philosophy of Physics · Physics 2015-06-17 Antonio Vassallo , Michael Esfeld

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…

Quantum Physics · Physics 2025-02-26 Robert C. Helling

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

We show that the de Broglie-Bohm interpretation can be easily implemented in quantum phase space through the method of quasi-distributions. This method establishes a connection with the formalism of the Wigner function. As a by-product, we…

Quantum Physics · Physics 2009-11-07 Nuno Costa Dias , Joao Nuno Prata

The ubiquitous ether coming from the ancient times up to middle of the twenty century is replaced by a superfluid quantum space. It represents by itself a Bose-Einstein condensate consisting of enormous amount of virtual…

Quantum Physics · Physics 2017-07-27 Valeriy I. Sbitnev

We study the quantum theory of the spherically symmetric black holes. The theory yields the wave function inside the apparent horizon, where the role of time and space coordinates is interchanged. The de Broglie-Bohm interpretation is…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Kenmoku , H. Kubotani , E. Takasugi , Y. Yamazaki

The alternative pilot-wave theory of quantum phenomena -- associated especially with Louis de Broglie, David Bohm, and John Bell -- reproduces the statistical predictions of ordinary quantum mechanics, but without recourse to special…

Quantum Physics · Physics 2015-06-15 Travis Norsen

We discuss quantum dynamics in multi-dimensional non-linear systems. It is well-known that wave functions are localized in a kicked rotor model. However, coupling with other degrees of freedom breaks the localization. In order to clarify…

Quantum Physics · Physics 2007-05-23 Hiroto Kubotani

The non-relativistic quantum theory has been interpreted causally by de Broglie, David Bohm, and others, where a quantum entity is viewed as a particle with a definite position and momentum. This interpretation opposes the Copenhagen…

Quantum Physics · Physics 2025-10-28 A. N. Khondker

Quantum mechanics states that a particle emitted at point (x_1,t_1) and detected at point (x_2,t_2) does not travel along a definite path between the two points. This conclusion arises essentially from the analysis of the two-slit…

Quantum Physics · Physics 2007-05-23 B. Galvan

Ballistic transport of electrons through a quantum wire with a constriction is studied in terms of Bohm's interpretation of quantum mechanics, in which the concept of a particle orbit is permitted. The classical bouncing ball trajectories,…

Condensed Matter · Physics 2015-06-25 Hua Wu , D. W. L. Sprung

Two-Time relativistic Bohmian Model (TTBM) is a theory in which the apparently paradoxical aspects of Quantum Mechanics are the effect of the existence of an extra unobservable time dimension. The hypothesis that matter is capable of motion…

General Physics · Physics 2026-03-06 Giuseppe Raguní

We propose a pedagogical presentation of measurement in the de Broglie-Bohm interpretation. In this heterodox interpretation, the position of a quantum particle exists and is piloted by the phase of the wave function. We show how this…

Quantum Physics · Physics 2014-01-27 Michel Gondran , Alexandre Gondran

In a previous work we have exhibited a clear description of the quantum-to-classical transition of cosmological quantum fluctuations in the inflationary scenario using the de Broglie-Bohm quantum theory. These fluctuations are believed to…

General Relativity and Quantum Cosmology · Physics 2014-01-21 N. Pinto-Neto , G. B. Santos , W. Struyve

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…

Quantum Physics · Physics 2016-08-16 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

Nonrelativistic quantum mechanics is commonly formulated in terms of wavefunctions (probability amplitudes) obeying the static and the time-dependent Schroedinger equations (SE). Despite the success of this representation of the quantum…

Quantum Physics · Physics 2017-08-15 Ivano Tavernelli

It is argued that the topological approach to the (anti-)symmetrisation condition for the quantum state of a collection of identical particles, defined in the `reduced' configuration space, is particularly natural from the perspective of de…

Quantum Physics · Physics 2009-10-31 Harvey R. Brown , Erik Sjoeqvist , Guido Bacciagaluppi

Tim Maudlin has argued that the standard formulation of quantum mechanics fails to provide a clear ontology and dynamics and that the de Broglie--Bohm pilot-wave theory offers a better completion of the formalism, more in line with…

Quantum Physics · Physics 2026-01-13 Partha Ghose
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