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We consider semiclassically scaled, weakly nonlinear Schr\"odinger equations with external confining potentials and additional angular-momentum rotation term. This type of model arises in the Gross-Pitaevskii theory of trapped, rotating…

偏微分方程分析 · 数学 2024-08-05 Xiaoan Shen , Christof Sparber

Scalar, baryon and vector--current densities in coordinate and momentum space are calculated within a relativistic mean--field model. The role of the low components of the bound nucleon wave function is investigated in detail for different…

核理论 · 物理学 2009-10-31 J. A. Caballero , T. W. Donnelly , E. Moya de Guerra , J. M. Udias

The inner structure of the {\gamma}{\epsilon}-formalisms of Infeld and van der Waerden admits the occurrence of spin-tensor electromagnetic fields which bear invariance under the action of the generalized Weyl gauge group. A concise…

数学物理 · 物理学 2012-01-27 J. G. Cardoso

A construction of relativistic wave equations on the homogeneous spaces of the Poincar\'{e} group is given for arbitrary spin chains. Parametrizations of the field functions and harmonic analysis on the homogeneous spaces are studied. It is…

数学物理 · 物理学 2008-11-26 V. V. Varlamov

The small amplitude perturbations of spins are considered in the four component antiferromagnetic materials with the equilibrium state of form up-up-down-down (uniaxial samples). Other configurations for the four component antiferromagnetic…

材料科学 · 物理学 2026-03-31 Pavel A. Andreev

We derive an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. The resulting equations have the same form as the colliding plane wave…

偏微分方程分析 · 数学 2009-10-31 G. Ali , J. K. Hunter

The relativistic wave equations of a charged particle propagating in a classical monochromatic electromagnetic plane wave, in a medium of index of refraction n_m < 1, have been studied. In the Dirac case the found exact solutions…

量子物理 · 物理学 2014-03-10 Sandor Varro

We demonstrate how plane fronted waves with colliding wave fronts are the asymptotic limit of spherical electromagnetic and gravitational waves. In the case of the electromagnetic waves we utilize Bateman's representation of radiative…

广义相对论与量子宇宙学 · 物理学 2021-12-30 Peter A. Hogan , Dirk Puetzfeld

An exact analytical model of the process of collision and nonlinear interaction of gravitational and/or electromagnetic soliton wave and strong non-soliton electromagnetic traveling wave of arbitrary profile propagating in the expanding…

广义相对论与量子宇宙学 · 物理学 2016-04-11 G. A. Alekseev

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

广义相对论与量子宇宙学 · 物理学 2015-05-14 Manuel Tessmer

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

等离子体物理 · 物理学 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

In hadron spectrum physics, the partial wave analysis is a primary method used to extract properties of hadronic resonances. The covariant orbital-spin coupling scheme holds unique advantages over other partial wave methods due to its…

高能物理 - 唯象学 · 物理学 2023-10-18 Hao-Jie Jing , Di Ben , Shu-Ming Wu , Jia-Jun Wu , Bing-Song Zou

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Kohkichi Konno , Masumi Kasai

In general, Maxwell's equations require that a wave of magnetic field be accompanied by a wave of electric field, and vice versa. In magnetic media it is possible to have waves of magnetization with negligible electric field. We discuss an…

经典物理 · 物理学 2007-05-23 Kirk T. McDonald

A new particle acceleration process in a developing Alfv\'{e}n turbulence in the course of successive parametric instabilities of a relativistic pair plasma is investigated by utilyzing one-dimensional electromagnetic full particle code.…

高能天体物理现象 · 物理学 2014-11-20 S. Matsukiyo , T. Hada

Wave Kinetic Equations (WKEs) are often used to describe the evolution of ensemble averaged wave amplitudes for nonlinear wave systems. In the present manuscript we describe a new approach to direct numerical simulation of solutions to…

数值分析 · 数学 2025-09-04 J. W. Banks , J. Shatah

A special non-linear electromagnetic field theory - the curvilinear wave electrodynamics (CWED), whose equation in the matrix form is similar to the equation of the Dirac lepton theory, is offered. It is shown that the solution of this…

高能物理 - 唯象学 · 物理学 2007-05-23 Alexander G. Kyriakos

A fundamental non-classical fourth-order partial differential equation to describe small amplitude linear oscillations in a rotating compressible fluid, is obtained. The dispersion relations for such a fluid, and the different regions of…

数学物理 · 物理学 2015-06-26 Jose Marin-Antuna , Richard L. Hall , Nasser Saad

We develop the general theory of spinning particles with electric and magnetic dipole moments moving in arbitrary electromagnetic, inertial and gravitational fields. Both the quantum-mechanical and classical dynamics is investigated. We…

高能物理 - 理论 · 物理学 2017-11-15 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

Using the complete orthonormal sets of radial parts of nonrelativitistic exponential type orbitals (2,1, 0, 1, 2, ...) and spinor type tensor spherical harmonics of rank s the new formulae for the 2(2s+1)-component relativistic spinors…

数学物理 · 物理学 2015-03-13 I. I. Guseinov