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In our previous paper [J. Chem.Phys. {\bf 137}, 22A544 (2012)] we argued that the Born-Oppenheimer approximation could not be based on an exact transformation of the molecular Schr\"{o}dinger equation. In this Comment we suggest that the…

Quantum Physics · Physics 2015-06-18 Brian T Sutcliffe , R Guy Woolley

The model of unstable particles with random mass is suggested to describe the finite-width effects. The phenomenological manifestation of mass smearing is discussed in the framework of the model.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Kuksa

[En] Here it is made a comparative analysis between the classical and the quantum expressions for the energy of electromagnetic radiation (ER). The comparison points to the possibility of the quantization of the magnetic and the electric…

General Physics · Physics 2019-11-14 Celso de Araujo Duarte

There are few exactly solvable potentials in quantum mechanics for which the completeness relation of the energy eigenstates can be explicitly verified. In this article, we give an elementary proof that the set of bound (discrete) states…

Quantum Physics · Physics 2024-11-25 F. Erman , O. T. Turgut

Comment on the article by S. Gandolfi et al. Phys.Rev.Letters 118 (2017), 232501; arXiv:1612.01502 [nucl-th]

Nuclear Experiment · Physics 2017-08-16 P. Truöl , J. P. MIller

The vacuum energy density of the massive Schwinger model is shown to be not power expandable in the fermion mass.

High Energy Physics - Phenomenology · Physics 2007-05-23 Taekoon Lee

We consider the radial free wave equation in all dimensions and derive asymptotic formulas for the space partition of the energy relative to a light cone, as time goes to infinity. We show that the exterior energy estimate, which…

Analysis of PDEs · Mathematics 2012-09-18 Raphael Cote , Carlos Kenig , Wilhelm Schlag

A two-level atom interacting with a single mode of quantized electromagnetic radiation is discussed using a representation in which the atom and the radiation are unified into a {\em new} canonical radiation. At the {\em twice-resonance},…

Atomic Physics · Physics 2009-06-01 Brijesh Kumar

We consider the effect of the photon radiative correction on the vacuum energy in a superstrong magnetic field. The notion of a photon anomalous magnetic moment is analyzed and its connection with the quasiparticle character of the…

High Energy Physics - Theory · Physics 2015-03-13 Selym Villalba Chavez

In classical physics the energy density of a field, such as the electromagnetic field, is always positive. However, in quantum field theory it has been shown that the energy density can be negative. There are restrictions, called the…

Quantum Physics · Physics 2010-12-10 Dan Solomon

We make some remarks on the linear wave equation concerning the existence and uniqueness of weak solutions, satisfaction of the energy equation, growth properties of solutions, the passage from bounded to unbounded domains, and…

Analysis of PDEs · Mathematics 2023-09-15 John M. Ball

Examination of equilibrium radiation in plasma media shows that the spectral energy distribution of such radiation is different from the Planck equilibrium radiation. Using the approach of quantum electrodynamics the general relation for…

Plasma Physics · Physics 2020-06-24 Sergey A. Trigger

It is well known that the energy density of a quantum state can be negative. It has been shown that there are limits on this negative energy density which are called the quantum inequalities. In this paper we will demonstrate an example of…

Quantum Physics · Physics 2011-08-19 Dan Solomon

The determination of the quantum properties of a single mode radiation field by heterodyne or double homodyne detection is studied. The realistic case of not fully efficient photodetectors is considered. It is shown that a large amount of…

Quantum Physics · Physics 2008-11-26 Matteo G. A. Paris

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling

We analyze recent results concerning the hypothesis of a privileged direction in the space-time that is made by considering a background of the Lorentz symmetry violation determined by a fixed spacelike vector field and the analysis of…

Quantum Physics · Physics 2021-01-06 Paolo Amore , Francisco M. Fernández

The formalism of quantum mechanics produces spectacular results, but its rules, its parameters are empirical, either deduced from classical physics, or from experimental results rather than from the postulates. Thus, quantum mechanics is…

Quantum Physics · Physics 2007-05-23 Jacques Moret-Bailly

We reanalyse the question whether the quantum Bogomolnyi bound is saturated in the two-dimensional supersymmetric kink and sine-Gordon models. Our starting point is the usual expression for the one-loop correction to the mass of a soliton…

High Energy Physics - Theory · Physics 2009-10-30 A. Rebhan , P. van Nieuwenhuizen

We compute the quantum radiation emitted by wavepackets of relativistic single electrons, both at rest and undergoing uniform acceleration in the Minkowski vacuum of the electromagnetic field. We find that the cubic terms in the original…

High Energy Physics - Theory · Physics 2026-04-13 Shih-Yuin Lin , Bei-Lok Hu

Low energy bremsstrahlung formulae are derived for a particle beam of charged bosons forming a Bose-Einsten condensate. The expression for energy radiated consists of two terms in this case. One of them, the larger one in the limit of large…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson
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