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Related papers: A Quasi-Newtonian Approach to Bohmian Mechanics I:…

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Quantum Mechanics is a good example of a successful theory. Most of atomic phenomena are described well by quantum mechanics and cases such as Lamb Shift that are not described by quantum mechanics, are described by quantum electrodynamics.…

Quantum Physics · Physics 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics of this approach to the Bohmian mechanics. In…

Quantum Physics · Physics 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

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

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

In the standard formulation of quantum mechanics, one starts by proposing a potential function that models the physical system. The potential is then inserted into the Schr\"odinger equation, which is solved for the wave function, bound…

Quantum Physics · Physics 2015-07-28 A. D. Alhaidari , M. E. H. Ismail

Semi-classical theories are approximations to quantum theory that treat some degrees of freedom classically and others quantum mechanically. In the usual approach, the quantum degrees of freedom are described by a wave function which…

Quantum Physics · Physics 2020-06-03 Ward Struyve

Bohmian mechanics is the most naively obvious embedding imaginable of Schr\"odinger'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 2008-11-26 K. Berndl , M. Daumer , D. Dürr , S. Goldstein , N. Zanghi

In order to arrive at Bohmian mechanics from standard nonrelativistic quantum mechanics one need do almost nothing! One need only complete the usual quantum description in what is really the most obvious way: by simply including the…

Quantum Physics · Physics 2007-05-23 D. Dürr , S. Goldstein , N. Zanghi

In this paper, we try to give a new approach to the quantum mechanics(QM) on the framework of quantum field theory(QFT). Firstly, we make a detail study on the (non-relativistic) Schr\"odinger field theory, obtaining the Schr\"odinger…

General Physics · Physics 2013-02-18 Yulei Feng

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

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

Quantum mechanics is the most successful theory to describe microscopic phenomena. It was derived in different ways over the past 100 years by Heisenberg, Schr\"{o}dinger, and Feynman. At the same time, other interpretations have been…

Quantum Physics · Physics 2025-12-15 Pedro Luis Grande , Raul Carlos Fadanelli , Maarten Vos

Since its inception, Bohmian mechanics has been surrounded by a halo of controversy. Originally proposed to bypass the limitations imposed by von Neumann's theorem on the impossibility of hidden-variable models in quantum mechanics, it…

Quantum Physics · Physics 2026-04-10 A. S. Sanz

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

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

Non-relativistic quantum mechanics is shown to emerge from classical mechanics through the requirement of a relativity principle based on special transformations acting on position and momentum uncertainties. These transformations keep the…

Quantum Physics · Physics 2007-05-23 Léon Brenig

We discuss the Schrodinger equation in presence of quaternionic potentials. The study is performed analytically as long as it proves possible, when not, we resort to numerical calculations. The results obtained could be useful to…

High Energy Physics - Theory · Physics 2009-11-07 S. De Leo , C. G. Ducati , Celso C. Nishi

The ontological aspect of Bohmian mechanics, as a hidden-variable theory that provides us with an objective description of a quantum world without observers, is widely known. Yet its practicality is getting more and more acceptance and…

Quantum Physics · Physics 2021-07-01 A. S. Sanz

Quantum technology is seeing a remarkable explosion in interest due to a wave of successful commercial technology. As a wider array of engineers and scientists are needed, it is time we rethink quantum educational paradigms. Current…

Popular Physics · Physics 2020-03-23 James Daniel Whitfield

Many recent results suggest that quantum theory is about information, and that quantum theory is best understood as arising from principles concerning information and information processing. At the same time, by far the simplest version of…

Quantum Physics · Physics 2015-05-13 Sheldon Goldstein
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