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In this work celebrating the centenary of quantum mechanics, we review the principles of de Broglie Bohm theory, also known as pilot-wave theory and Bohmian mechanics. We assess the most common reading of it (the Nomological interpretation…

量子物理 · 物理学 2025-03-19 Aurélien Drezet , Arnaud Amblard

Bohmian mechanics can be generalized to a relativistic theory without preferred foliation, with a price of introducing a puzzling concept of spacetime probability conserved in a scalar time. We explain how analogous concept appears…

量子物理 · 物理学 2013-10-01 H. Nikolic

The author's opinion on the interpretation of quantum mechanics is further elucidated. Not only may quantum mechanics be a description of the sub-microscopic world that is profoundly different from what is often asserted, particularly…

量子物理 · 物理学 2021-04-08 Gerard 't Hooft

In this paper a didactic approach is described which immediately leads to an understanding of those postulates of quantum mechanics used most frequently in quantum computation. Moreover, an interpretation of quantum mechanics is presented…

量子物理 · 物理学 2008-01-22 Christian Jansson

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…

量子物理 · 物理学 2007-05-23 Detlef Duerr , Sheldon Goldstein , James Taylor , Roderich Tumulka , Nino Zanghi

Classical physics is about real objects, like apples falling from trees, whose motion is governed by Newtonian laws. In standard Quantum Mechanics only the wave function or the results of measurements exist, and to answer the question of…

量子物理 · 物理学 2016-08-16 Valia Allori , Detlef Dürr , Shelly Goldstein , Nino Zanghí

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…

量子物理 · 物理学 2025-12-15 Pedro Luis Grande , Raul Carlos Fadanelli , Maarten Vos

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

A derivation of the Bohm model, and some general comments about it, are given. A modification of the model which is formally local and Lorentz-invariant is introduced, and its properties studied for a simple experiment.

量子物理 · 物理学 2008-02-03 Euan J. Squires

Applications of quantum mechanics have led to many successful predictions and explanations of puzzling phenomena, and we now apply quantum mechanics to gain, process, and communicate information in novel ways. We can understand quantum…

量子物理 · 物理学 2026-04-03 Richard Healey

It is shown explicitly that in the framework of Bohmian quantum gravity, the equations of motion of the space-time metric are Einstein's equations plus some quantum corrections. It is observed that these corrections are not covariant. So…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Ali Shojai , Fatimah Shojai , Mehdi Golshani

In this article, we investigate Bohm's view of quantum theory, especially Bohm's quantum potential, from a new perspective. We develop a quasi-Newtonian approach to Bohmian mechanics. We show that to arrive at Bohmian formulation of quantum…

量子物理 · 物理学 2013-11-27 Mahdi Atiq , Mozafar Karamian , Mehdi Golshani

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…

量子物理 · 物理学 2018-08-24 Tarek A. Elsayed , Klaus Mølmer , Lars Bojer Madsen

A brief account of the world view of classical physics is given first. We then recapitulate as to why the Copenhagen interpretation of the quantum mechanics had to renounce most of the attractive features of the clasical world view such as…

量子物理 · 物理学 2008-05-16 Virendra Singh

Quantum measurement is a fundamental concept in the field of quantum mechanics. The action of quantum measurement, leading the superposition state of the measured quantum system into a definite output state, not only reconciles…

综合物理 · 物理学 2024-08-13 Wei Wen

All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a…

量子物理 · 物理学 2014-11-18 H. Nikolic

We develop a general formulation of quantum statistical mechanics in terms of probability currents that satisfy continuity equations in the multi-particle position space, for closed and open systems with a fixed number of particles. The…

量子物理 · 物理学 2024-04-19 Hrvoje Nikolic

This is a review-essay on ``Speakable and Unspeakable in Quantum Mechanics'' by John Bell and ``The Undivided Universe: An Ontological Interpretation of Quantum Mechanics'' by David Bohm and Basil Hiley. The views of these authors…

量子物理 · 物理学 2007-05-23 Sheldon Goldstein

Difficulties and discomfort with the interpretation of quantum mechanics are due to differences in language between it and classical physics. Analogies to The Special Theory of Relativity, which also required changes in the basic worldview…

量子物理 · 物理学 2015-06-26 A. R. P. Rau

The compatibility of standard and Bohmian quantum mechanics has recently been challenged in the context of two-particle interference, both from a theoretical and an experimental point of view. We analyze different setups proposed and derive…

量子物理 · 物理学 2016-09-08 E. Guay , L. Marchildon