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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…

综合物理 · 物理学 2008-12-08 C. L. Herzenberg

The quantum mechanics description of a physical object stretched in space and stable in time from the relativistic space-time properties point of view, introduced in special theory of relativity, is considered and analysed. The mathematical…

量子物理 · 物理学 2007-05-23 Andrey V. Novikov-Borodin

In this short paper, we propose a new quantum effect that naturally emerges from describing the quantum particle as a classical fluid. Following the hydrodynamical formulation of quantum mechanics for a particle in a finite convex region,…

量子物理 · 物理学 2024-10-01 Tomer Shushi

A quantum mechanics representation based on position ($\vec{r}$), linear momentum($\vec{p}$) and energy($E$) eigenvalues is presented here. A set of equations, explicitly independent on wave function, was derived relating these observables.…

量子物理 · 物理学 2019-03-22 Jeconias Rocha Guimarães

We assume that particles are point-like objects even when not observed. We report on the consequences of our assumption within the realm of quantum theory. An important consequence is the necessity of vacuum fields to account for particle…

量子物理 · 物理学 2010-10-27 Eduardo V. Flores

The dynamics of a quantum mechanical particle in a time-independent potential are found to contain many interesting phenomena. These are direct consequences of the (typical) existence of more than one time scale governing the problem. This…

量子物理 · 物理学 2007-05-23 Ross C. O'Connell

We study the dynamics of a particle in continuous time and space, the displacement of which is governed by an internal degree of freedom (spin). In one definite limit, the so-called quantum random walk is recovered but, although quite…

量子物理 · 物理学 2009-11-10 Claude Aslangul

It is known from quantum mechanics that particles are associated with wave functions, and that the probability of observing a particle at some future location is proportional to the squared modulus of the amplitude of its wave function.…

物理学史与哲学 · 物理学 2022-10-11 Stuart Heinrich

Aiming at providing an objective motion picture for the microscopic object described by the wave function, new analysis about motion is presented by use of the point set theory in mathematics, through which we show that a new kind of motion…

综合物理 · 物理学 2007-05-23 Gao Shan

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

高能物理 - 理论 · 物理学 2019-11-19 H. Nikolic

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

量子物理 · 物理学 2020-06-19 Thiago Guerreiro

Quantum backflow is usually understood as a quantum interference phenomenon where probability current of a quantum particle points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for…

量子物理 · 物理学 2021-01-13 Marek Miller , Woo Chee Yuan , Rainer Dumke , Tomasz Paterek

The conditions for observation of the particle coordinates, required by logic of the Special Relativity and filtering the quantum field effects, are described. A general relation between the corresponding density of probability and the wave…

量子物理 · 物理学 2008-07-03 V. F. Krotov

Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that…

量子物理 · 物理学 2009-09-25 Kiyoung Kim

Several examples are known where quantum gravity effects resolve the classical big bang singularity by a bounce. The most detailed analysis has probably occurred for loop quantum cosmology of isotropic models sourced by a free, massless…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Martin Bojowald

Earlier obtained results on mechanical analogies of physical fields and particles are reviewed. The approach rests on the concept of the substratum - a mechanical medium, which occupies all the space and serves as a seat to support the…

综合物理 · 物理学 2007-05-23 Valery P. Dmitriyev

Interactions with ordinary matter of a flux of high-speed uncharged dark matter particles pervasively present in space are examined. In this model, we find that the property of matter that we designate as mass becomes a measure of the…

综合物理 · 物理学 2007-05-23 C. L. Herzenberg

In this paper we pose two fundamental ideas on the motion of an elementary particle supporting the internal "spin motion" or $\textit{Zitterbewegung}$ and a particle as concentrated energy. First, the particle moves randomly in a limited…

量子物理 · 物理学 2014-05-05 Muhamad Darwis Umar

Experimental evidene of the last decades has made the status of "collapses of the wave function" even more shaky than it already was on conceptual grounds: interference effects turn out to be detectable even when collapses are typically…

物理学史与哲学 · 物理学 2019-01-08 Dennis Dieks

We study the classical motion of a particle subject to a stochastic force. We then present a perturbative schema for the associated Fokker-Planck equation where, in the limit of a vanishingly small noise source, a consistent dynamical model…

量子物理 · 物理学 2007-05-23 M. S. Torres , J. M. A. Figueiredo
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