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In this article we review some problems in physics, chemistry and mathematics that lead naturally to a class of polyhedra which include the Platonic solids. Examples include the study of electrons on a sphere, cages of carbon atoms, central…

Mathematical Physics · Physics 2007-05-23 Michael Atiyah , Paul Sutcliffe

The Clifford spectrum is a form of joint spectrum for noncommuting matrices. This theory has been applied in photonics, condensed matter and string theory. In applications, the Clifford spectrum can be efficiently approximated using…

Operator Algebras · Mathematics 2023-11-30 Alexander Cerjan , Terry A. Loring

We estimate the electromagnetic fields generated by a cluster of dielectric nanoparticles embedded into a background made of a vacuum. The dielectric nanoparticles are small scaled but enjoy high contrast of their relative permittivity.…

Analysis of PDEs · Mathematics 2022-09-09 Xinlin Cao , Ahcene Ghandriche , Mourad Sini

A new nonlinear electromagnetic wave mode in a plasma is reported. Its existence depends on the interaction of an intense circularly polarized electromagnetic wave with a plasma, where quantum electrodynamical photon--photon scattering is…

Plasma Physics · Physics 2015-06-26 Lennart Stenflo , Gert Brodin , Mattias Marklund , Padma K. Shukla

We present a rather powerful method in investigations of different phenomena that can appear when neutrinos and electrons propagate in background matter. This method is based on the use of the modified Dirac equations for particles wave…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alexander Studenikin

A model to study the dynamics of colloidal particles in nonuniform electric fields is proposed. For an isolated sphere, the conditions and threshold for sustained (Quincke) rotation in a linear direct current (dc) field are determined.…

Fluid Dynamics · Physics 2018-01-31 Yi Hu , Petia M. Vlahovska , Michael J. Miksis

Electromagnetic wavelets are a family of 3x3 matrix fields W_z(x') parameterized by complex spacetime points z=x+iy with y timelike. They are translates of a \sl basic \rm wavelet W(z) holomorphic in the future-oriented union T of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gerald Kaiser

Recently, a correspondence has been shown to exist between the structure of a single Standard Model generation of elementary particles and the properties of the Clifford algebra of nonrelativistic phase space. Here, this correspondence is…

High Energy Physics - Theory · Physics 2014-11-18 Piotr Zenczykowski

Pulsar dynamic spectra exhibit high visibility fringes arising from interference between scattered radio waves. These fringes may be random or highly ordered patterns, depending on the nature of the scattering or refraction. Here we…

Astrophysics · Physics 2009-11-10 Mark Walker , Dan Stinebring

The nonlinear Breit-Wheeler process is studied in the presence of strong and short laser pulses. We show that for a relativistically intense plane-wave laser field many features of the momentum distribution of the produced electron-positron…

High Energy Physics - Phenomenology · Physics 2016-04-25 Sebastian Meuren , Christoph H. Keitel , Antonino Di Piazza

QED cascades in a strong electromagnetic field of optical range and arbitrary configuration are considered. A general expression for short-time dependence of the key electron quantum dynamical parameter is derived, allowing to generalize…

Plasma Physics · Physics 2021-08-04 A. A. Mironov , E. G. Gelfer , A. M. Fedotov

Electromagnetic wavelets are constructed using scalar wavelets as superpotentials, together with an appropriate polarization. It is shown that oblate spheroidal antennas, which are ideal for their production and reception, can be made by…

Mathematical Physics · Physics 2008-11-26 Gerald Kaiser

The long-standing challenge to describing charged particle dynamics in strong classical electromagnetic fields is how to incorporate classical radiation, classical radiation reaction and quantized photon emission into a consistent unified…

Plasma Physics · Physics 2017-08-02 B. M. Hegelich , L. Labun , O. Z. Labun

We give an example of a purely bosonic model -- a rotor model on the 3D cubic lattice -- whose low energy excitations behave like massless U(1) gauge bosons and massless Dirac fermions. This model can be viewed as a ``quantum ether'': a…

High Energy Physics - Theory · Physics 2009-11-11 Michael Levin , Xiao-Gang Wen

We compute electromagnetic wave propagation through the magnetosphere of a magnetar. The magnetosphere is modeled as the QED vacuum and a cold, strongly magnetized plasma. The background field and electromagnetic waves are treated…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Dan Mazur , Jeremy S. Heyl

We determine crystal-like materials that can be fabricated by using a standing acoustic wave to arrange small particles in a non-viscous liquid resin, which is cured afterwards to keep the particles in the desired locations. For identical…

Numerical Analysis · Mathematics 2020-07-01 Fernando Guevara Vasquez , China Mauck

In the recent years there was published some papers in which the photons are represented as electromagnetic solitons [1,2,3]. All particles - solitons - represent some electromagnetic field restricted in a very small volume, length,…

Atomic Physics · Physics 2007-05-23 Pavel S. Kamenov

Angular momentum and torque are important principles for basic and applied physics on any spatial scales, for example, in elementary particles, cold gases, optical tweezers, quantum information technology, metamaterials, gyroscopes or…

Optics · Physics 2024-12-16 Y. Fang , J. Kuttruff , P. Baum

Electromagnetic emissions, known as Brunel radiations, are produced in plasmas through the coupling between the free electron density and ultrafast ionizing laser pulses. The radiation spectrum generated in laser-gas interactions is here…

Optics · Physics 2025-03-14 Paul David , Fabrice Catoire , Luc Bergé

We develop an approximate second quantization method for describing the many-particle systems in the presence of bound states of particles at low energies (the kinetic energy of particles is small in comparison to the binding energy of…

Quantum Physics · Physics 2015-06-26 Sergey V. Peletminskii , Yuriy V. Slyusarenko
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