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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…

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

We consider the energy stored in a one-dimensional ballistic ring with a barrier subject to a linearly time-dependent magnetic flux. An exact analytic solution for the quantum dynamics of electrons in the ring is found for the case when the…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 L. Gorelik , S. Kulinich , Yu. Galperin , R. I. Shekhter , M. Jonson

We show that quantum fluctuations of electromagnetic fields induce an additional zero-point energy in solids, which scales with the volume. For insulators, the zero-point energy density is proportional to quantum fluctuation of electric…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Yugo Onishi , Liang Fu

This study aims to address the nature of state change, measurement, and probabilistic outcomes in non-relativistic quantum mechanics. We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential.…

Quantum Physics · Physics 2026-01-13 Olivia Pomerenk , Charles S. Peskin

Quantum field theory allows for the suppression of vacuum fluctuations, leading to sub-vacuum phenomena. One of these is the appearance of local negative energy density. Selected aspects of negative energy will be reviewed, including the…

Quantum Physics · Physics 2010-05-25 L. H. Ford

Quantum buoyancy has been proposed as the mechanism protecting the generalized second law when an entropy--bearing object is slowly lowered towards a black hole and then dropped in. We point out that the original derivation of the buoyant…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jacob D. Bekenstein

The energy of a quantum particle cannot be determined exactly unless there is an infinite amount of time in which to perform the measurement. This paper considers the possibility that $\Delta E$, the uncertainty in the energy, may be…

Mathematical Physics · Physics 2015-05-13 Tanwa Arpornthip , Carl M. Bender

Among the many perplexing results of quantum mechanics is one that contradicts a result from introductory physics: the possibility of finding a quantum particle in a region that would be forbidden classically by energy conservation. An…

Popular Physics · Physics 2025-01-09 Dennis E. Krause , Nikolai Jones

A model of a particle in finite space is developed and the properties that the particle may possess under this model are studied. The possibility that particles attract each other due to their own wave nature is discussed. The assumption…

General Physics · Physics 2023-01-31 Dong Zhang , Pavel Kroupa , Jan Pflamm-Altenburg , Manfred Schmid

We show that the spectrum of orbital angular momentum in quantum mechanics consists of two parts when the underlying space has periodic boundaries. While the first part consists of the usual textbook integer quantized values, the second is…

Quantum Physics · Physics 2025-06-05 Daniel Burgarth , Paolo Facchi

The angular momentum of photons is the key source of quantum information. The transfer angular momentum is possible as circularly polarized light passed through wave plates. The twisted birefringent medium behaves as Q-plate. The passage of…

Optics · Physics 2014-07-15 Dipti Banerjee , Dipan Sinha

Although quantum field theory allows local negative energy densities and fluxes, it also places severe restrictions upon the magnitude and extent of the negative energy. The restrictions take the form of quantum inequalities. These…

General Relativity and Quantum Cosmology · Physics 2016-08-25 L. H. Ford , Thomas A. Roman

The Wigner eigenfunctions of a free quantum particle propagating on a plane are derived. Two possibilities are analysed. Firstly, the particle of given energy and angular momentum is discussed. In that case, a special choice of coordinates…

Quantum Physics · Physics 2026-03-12 Hubert Jóźwiak , Jaromir Tosiek

It has been argued since 1948, when it was experimentally demonstrated, that the Casimir effect-where two non-charged conducting plates have a weak but measurable force on each other dependent on the inverse fourth power of the distance…

General Physics · Physics 2022-06-13 Gerald E. Marsh

The quantum motion of nuclei, generally ignored in sliding friction, can become important for an atom, ion, or light molecule sliding in an optical lattice. The density-matrix-calculated evolution of a quantum Prandtl-Tomlinson model,…

Mesoscale and Nanoscale Physics · Physics 2017-08-14 Tommaso Zanca , Franco Pellegrini , Giuseppe E. Santoro , Erio Tosatti

We present a strong-weak coupling duality for quantum mechanical potentials. Similarly to what happens in quantum field theory, it relates two problems with inverse couplings, leading to a mapping of the strong coupling regime into the weak…

High Energy Physics - Theory · Physics 2007-05-23 A. de Souza Dutra

We show how a potential that is well-defined everywhere on the positive half-line, but diverges to $-\infty$ as $x\rightarrow 0^+$, may still be able to dynamically confine a particle to the (positive) half-line. We shall call this effect…

Quantum Physics · Physics 2024-07-17 Rodrigo Andrade e Silva

The Coulomb potential produced by an ultrarelativistic particle (such as a heavy ion) in uniform motion is shown in the appropriate gauge to factorize into a longitudinal Dirac delta function of (z - t) times the simple two dimensional…

Nuclear Theory · Physics 2009-10-28 A. J. Baltz

In quantum field theory there exist states for which the energy density is negative. It is important that these negative energy densities satisfy constraints, such as quantum inequalities, to minimize possible violations of causality, the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Dan N. Vollick

A model about excited field of a particle is discussed. We found this model will give wave-particle duality clearly and its Lagrangian is consistent with Quantum Theory. A new interpretation of quantum mechanics but not statistical…

Quantum Physics · Physics 2007-05-23 Gang Zhao