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In this paper we consider solutions of the Dirac equation at ultra high energies. The study provides new insights including features overlooked thus far and also new ramifications.

General Physics · Physics 2015-06-18 Burra G. Sidharth

Several experimental techniques are currently under development, to measure the expected tiny fluxes of highest energy neutrinos above 10**18 eV. Projects in different stages of realisation are discussed here, which are based on optical and…

Astrophysics · Physics 2009-11-10 Rolf Nahnhauer

In this paper the relativistic quantum theory of cyclotron resonance in an arbitrary medium is presented. The quantum equation of motion for charged particle in the field of plane electromagnetic wave and uniform magnetic field in a medium…

Quantum Physics · Physics 2007-05-23 H. K. Avetissian , G. F. Mkrtchian , M. G. Poghosyan

The main topic of this work concerns the formulation of the equations of motion and the consequent energy balance that they imply for this type of systems, In particular, the analytical development that we will carry out on the equations of…

Classical Physics · Physics 2023-04-25 Federico Talamucci

The available energy of a plasma is defined as the maximum amount by which the plasma energy can be lowered by volume-preserving rearrangements in phase space, a so-called Gardner re-stacking. A general expression is derived for the…

Plasma Physics · Physics 2024-11-20 P. Helander , R. J. J. Mackenbach

It's a common knowledge that the quasielastic neutrino-neutron and antineutrino-proton cross sections tend to the same constant as (anti)neutrino energy becomes high. In this paper we calculate the exact expression of the limit in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Artur M. Ankowski

Some neutrino predictions at the highest energies for a number of production mechanisms are comparatively reviewed in the light of future projects for neutrino detection.

Astrophysics · Physics 2007-05-23 Enrique Zas

Recently it was shown that the ratio of kinetic and potential energy at the perihelion of a Kepler orbit relates to the ellipse eccentricity. Here, a general expression for the that ratio at any position on the orbit is presented.

General Physics · Physics 2024-10-10 Manfred Bucher

An analytical expression for the relativistic corrections to the energy spectra of particles completely confined in an one-dimensional limited length in real space is given, based upon the wave property of particles, the relativistic…

Quantum Physics · Physics 2007-05-23 Shang Yuan Ren

We examine the extreme situation of radiation from an electron that is asymptotically accelerated to the speed of light, resulting in finite emission energy. The analytic solution explicitly demonstrates the difference between radiation…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Michael R. R. Good , Chiranjeeb Singha , Vasilios Zarikas

The energy characteristics of a relativistic charged particle in the field of a plane electromagnetic wave of a given amplitude are studied. The dependence of the particle's energy on its phase coordinate is obtained. The maximum value of…

Accelerator Physics · Physics 2025-11-11 V. A. Balakirev , I. N. Onishchenko

The theoretical status of the neutrino-nucleon cross section is reviewed for incident neutrino energies up to E_nu=10^12 GeV, including different approaches to high energy extrapolations. Nonstandard model physics may play a role at…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. H. Reno

Examination of symmetry energy is carried out on the basis of an elementary binding-energy formula. Constraints are obtained on the energy value at the normal nuclear density and on the density dependence of the energy at subnormal…

Nuclear Theory · Physics 2017-08-23 P. Danielewicz

A measurement of the synchrotron self-absorption flux and frequency provides tight constraints on the physical size of the source and a robust lower limit on its energy. This lower limit is also a good estimate of the magnetic field and…

High Energy Astrophysical Phenomena · Physics 2013-07-23 Rodolfo Barniol Duran , Ehud Nakar , Tsvi Piran

We discuss the dynamics of a charged nonrelativistic particle in electromagnetic field of a rotating magnetized celestial body. The equations of motion of the particle are obtained and some particular solutions are found. Effective…

High Energy Astrophysical Phenomena · Physics 2013-08-08 V. Epp , M. A. Masterova

A general method is presented for determining the maximum electric energy in a bounded region of optical fields with given time-averaged flux of electromagnetic energy. Time-harmonic fields are considered whose plane wave expansion consists…

Optics · Physics 2018-01-09 Jonas Teuwen , Paul Urbach

The quantum description of an atom with a magnetic quadrupole moment in the presence of a uniform effective magnetic field is analysed. The atom is also subject to rotation and a scalar potential proportional to the inverse of the radial…

Quantum Physics · Physics 2017-05-26 I. C. Fonseca , K. Bakke

A simple model is exhibited in which the remnant density of charged vortons is used to provide candidates for explaining the observed ultra high energy cosmic rays (above $10^{20}$ eV). These vortons would be accelerated in active galaxies…

High Energy Physics - Phenomenology · Physics 2011-05-23 Silvano Bonazzola , Patrick Peter

This paper is concerned with energy properties of the wave equation associated to the Dunkl-Cherednik Laplacian. We establish the conservation of the total energy, the strict equipartition of energy under suitable assumptions and the…

Analysis of PDEs · Mathematics 2008-12-16 Fatma Ayadi

This document addresses concerns raised about possible limits, due to space charge, to the maximum H2+ ion beam current that can be injected into and accepted by a compact cyclotron. The discussion of the compact cyclotron is primarily…