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The Drude-Lorentz model for the motion of electrons in a solid is a classical model in statistical mechanics, where electrons are represented as point particles bouncing on a fixed system of obstacles (the atoms in the solid). Under some…

数学物理 · 物理学 2016-06-29 François Golse

In an effort to challenge the Copenhagen interpretation of quantum mechanics, Karl Popper proposed an experiment involving spatially separated entangled particles. In this experiment, one of the particles passes through a very narrow slit,…

量子物理 · 物理学 2017-09-13 Eliot Bolduc , Ebrahim Karimi , Kevin Piché , Jonathan Leach , Robert W. Boyd

Uncertainty relations (URs) like the Heisenberg-Robertson or the time-energy UR are often considered to be hallmarks of quantum theory. Here, a simple derivation of these URs is presented based on a single classical inequality from…

量子物理 · 物理学 2015-09-14 Florian Fröwis , Roman Schmied , Nicolas Gisin

A model of discrete space-time is presented which is, in a sense, both Lorentz invariant and has no restriction on the relative velocity between particles (except v < c). The space-time has an inbuilt indeterminacy. Published originally as…

数学物理 · 物理学 2013-06-13 J. C. Jackson

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…

量子物理 · 物理学 2013-03-26 B. J. Hiley

The object of this paper is to discuss the physical interpretation of quantum behaviour of Schrodinger electron (SchEl) and bring to light on the cause for the Heisenberg convenient operator way of its describing, using the nonrelativistic…

量子物理 · 物理学 2007-05-23 Josiph Mladenov Rangelov

The wave-structure of moving electrons is analyzed on a fundamental level by employing a modified de Broglie relation. Formalizing the wave-function $\psi$ in real notation yields internal energy components due to mass oscillations. The…

量子物理 · 物理学 2008-02-03 W. A. Hofer

If, in a system of identical particles, the one particle state is defined by the partial trace to one of the component spaces of the total Hilbert space, then all one particle states are identical. The particles are indistinguishable. This…

综合物理 · 物理学 2016-09-08 Andrea Lubberdink

Based on an analogy between diffraction integral formalism of classical field propagation and Feynman path integral approach to quantum field theory, we develop a quantum model for light and radiation in Rindler spacetime. The framework…

广义相对论与量子宇宙学 · 物理学 2025-06-04 Fujin Wang , Syed Masood , L. G. Wang

This note is sketching a simple and natural mathematical construction for explaining the probabilistic nature of quantum mechanics. It employs nonstandard analysis and is based on Feynman's interpretation of the Heisenberg uncertainty…

量子物理 · 物理学 2007-06-13 Michel Fliess

An axiomatics for indistinguishability of elementary particles in terms of hidden variables is presented in a manner which depart from the standard approaches usually given to hidden variables. Quantum distribution functions are also…

量子物理 · 物理学 2009-10-30 Adonai S. Sant'Anna , Decio Krause

We demonstrate the existence of stable non-dispersing two-electron Trojan-like wave packets in the helium atom in combined magnetic and circularly polarized microwave fields. These packets follow circular orbits and we show that they can…

量子物理 · 物理学 2007-05-23 Matt Kalinski , Loren Hansen , David Farrelly

In the present paper, in terms of the measurability concept introduced in the previous works of the author, a quantum theory is studied. Within the framework of this concept, several examples are considered using the Schrodinger picture;…

综合物理 · 物理学 2017-09-13 Alexander Shalyt-Margolin

We address the problem of interference using the Heisenberg picture and highlight some new aspects through the use of pre-selection, post-selection, weak measurements, and modular variables, We present a physical explanation for the…

量子物理 · 物理学 2015-05-14 Jeff Tollaksen , Yakir Aharonov , Aharon Casher , Tirzah Kaufherr , Shmuel Nussinov

The Fraunhofer diffraction of quantum particles from materials with sharp electron-density edges or symmetric bond structures is ubiquitous. In contrast, diffraction from atoms with characteristic asymptotically-diffused electron…

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…

量子物理 · 物理学 2008-11-26 K. Berndl , M. Daumer , D. Dürr , S. Goldstein , N. Zanghi

The purpose of this work is to retrace the steps that were made by scientists of XX century, like Bohr, Schrodinger, Heisenberg, Pauli, Dirac, for the formulation of what today represents the modern quantum mechanics and that, within two…

物理学史与哲学 · 物理学 2015-07-02 Luca Nanni

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…

量子物理 · 物理学 2016-08-16 Detlef Dürr , Sheldon Goldstein , Nino Zangh\`ı

In this paper, I argue that light is a continuous classical electromagnetic wave, while the observed so-called quantum nature of the interaction of light with matter is connected to the discrete (atomic) structure of matter and to the…

量子物理 · 物理学 2016-02-04 Sergey A. Rashkovskiy

Though the sharp Heisenberg Uncertainty Principle has been extensively studied in the entire Euclidean spaces, the counterpart on the half spaces or more general orthants has been missing in the literature. We investigate the sharp…

偏微分方程分析 · 数学 2026-02-24 Nguyen Lam , Yukta Lodha , Guozhen Lu , Ambar N. Sengupta