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Since its inception Bohmian mechanics has been generally regarded as a hidden-variable theory aimed at providing an objective description of quantum phenomena. To date, this rather narrow conception of Bohm's proposal has caused it more…

Quantum Physics · Physics 2018-10-05 A. S. Sanz

I make a review on the aplications of the Bohm-De Broglie interpretation of quantum mechanics to quantum cosmology. In the framework of minisuperspaces models, I show how quantum cosmological effects in Bohm's view can avoid the initial…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Nelson Pinto-Neto

In a recent work, M.Kohout (M.Kohout, Int.J.Quant.Chem. 87, 12 2002) raised the important question of how to make a correct use of Bohm's approach for defining a quantum potential. In this work, by taking into account Kohout's results, we…

Quantum Physics · Physics 2009-11-10 L. Delle Site

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

Several situations, in which an empty wave causes an observable effect, are reviewed. They include an experiment showing ``surrealistic trajectories'' proposed by Englert et al. and protective measurement of the density of the quantum…

Quantum Physics · Physics 2007-05-23 L. Vaidman

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

There is a consensus today that the the main lesson of the Aharonov-Bohm effect is that a picture of electromagnetism based on the local action of the field strengths is not possible in quantum mechanics. Contrary to this statement it is…

Quantum Physics · Physics 2015-05-30 Lev Vaidman

In this paper we discuss the quantum potential approach of Bohm in the context of quantum cosmological model. This approach makes it possible to convert the wavefunction of the universe to a set of equations describing the time evolution of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Arkadiusz Blaut , Jerzy Kowalski-Glikman

A new approach to find exact solutions to one--dimensional quantum mechanical systems is devised. The scheme is based on the introduction of a potential function for the wavefunction, and the equation it satisfies. We recover known…

Quantum Physics · Physics 2021-02-08 Sergio A. Hojman , Felipe A. Asenjo

The behavior of classical monochromatic waves in stationary media is shown to be ruled by a novel, frequency-dependent function which we call Wave Potential, and which we show to be encoded in the structure of the Helmholtz equation. An…

Quantum Physics · Physics 2013-04-17 Adriano Orefice , Raffaele Giovanelli , Domenico Ditto

In this work, we show an application of the de Broglie-Bohm Quantum Theory of Motion (QTM) as a powerful tool for evaluating Bohm's quantum force in the scattering process of a Gaussian wavepacket by a classical Eckart potential. Our…

Quantum Physics · Physics 2021-02-10 Wanisson S. Santana , Clebson Cruz , Elisama Lima , Frederico V. Prudente

Bohm's interpretation of Quantum Mechanics leads to the derivation of a Quantum Kinetic Equation (QKE): in the present work, propagation of waves in charged quantum gases is investigated starting from this QKE. Dispersion relations are…

Quantum Physics · Physics 2018-02-14 D. Mostacci , V. Molinari , F. Pizzio

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

General Physics · Physics 2008-12-08 C. L. Herzenberg

In this paper we generalize the ideas of de Broglie and Bohm to the relativistic case which is based on the relativistic Schr\"odinger equation. In this regard, the relativistic forms of the guidance equation and quantum potential are…

Quantum Physics · Physics 2014-06-10 Jafar Khodagholizadeh , Javad Kazemi , Alireza Babazadeh

In this paper we discuss the quantum potential approach of Bohm in the context of quantum cosmological model. This approach makes it possible to convert the wavefunction of the universe to a set of equations describing the time evolution of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arkadiusz Blaut , Jerzy Kowalski-Glikman

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

The biggest and most lasting among David Bohm's (1917-1992) many achievements is to have proposed a picture of reality that explains the empirical rules of quantum mechanics. This picture, known as pilot wave theory or Bohmian mechanics…

Quantum Physics · Physics 2018-06-15 Roderich Tumulka

We introduce a pedagogical discussion on Bohmian mechanics and its physical implications in connection with the important role played by the quantum phase in the dynamics of quantum processes. In particular, we focus on phenomena such as…

Quantum Physics · Physics 2012-05-25 A. S. Sanz , S. Miret-Artes

The paper addresses the debate about the empirical status of particles versus wave functions in Bohmian quantum mechanics. It thereby clarifies questions and misconceptions about the role of the particles in the measurement process, the…

Quantum Physics · Physics 2019-03-13 Dustin Lazarovici

Bohmian mechanics was designed to give rise to predictions identical to those derived by standard quantum mechanics, while invoking a specific interpretation of it - one which allows the classical notion of a particle to be maintained…

Quantum Physics · Physics 2023-03-03 Gal Amit , Yonathan Japha , Tomer Shushi , Ron Folman , Eliahu Cohen