共查询到20条相似文献,搜索用时 15 毫秒
1.
We explore the mathematical connection that exists between Weber's force and Maxwell's equations. The Weber force is shown to be compatible with Maxwell's equations when expressed in relative coordinates with the time dependence determined by the source motion. 相似文献
2.
We prove a new no-go theorem in the Dirac-algebra formulation of generalized electromagnetic theory, which includes magnetic monopoles and uses two potentialsA andM : It is impossible to construct a Lagrangian which is duality invariant and satisfies the one-photon assumption, from which Maxwell's equations and the equations of motion can be derived. Such a Lagrangian can be found only if either duality invariance or the one-photon assumption is sacrificed. These constraints as well as others discussed here are based on recently published results on monopoles without strings in the Dirac algebra, but they do not arise from any artificial restrictions in the Dirac-algebra formulation. 相似文献
3.
Krzysztof Rȩbilas 《Foundations of Physics Letters》2006,19(4):337-351
The Coulomb force, established in the rest frame of a source-charge Q, when transformed to a new frame moving with a velocity V has a form F = q
E + q
v × B, where E = E′∥ + γE′⊥ and B = (1/c
2)v × E and E′ is the electric field in the rest frame of the source. The quantities E and B are then manifestly interdependent. We prove that they are determined by Maxwell's equations, so they represent the electric
and magnetic fields in the new frame and the force F is the well known from experiments Lorentz force. In this way Maxwell's equations may be discovered theoretically for this
particular situation of uniformly moving sources. The general solutions of the discovered Maxwell's equations lead us to fields
produced by accelerating sources. 相似文献
4.
Huajun Zhu Songhe Song & Yaming Chen 《advances in applied mathematics and mechanics.》2011,3(6):663-688
In this paper, we develop a multi-symplectic wavelet collocation method for
three-dimensional (3-D) Maxwell's equations. For the multi-symplectic formulation
of the equations, wavelet collocation method based on autocorrelation functions
is applied for spatial discretization and appropriate symplectic scheme is employed
for time integration. Theoretical analysis shows that the proposed method is
multi-symplectic, unconditionally stable and energy-preserving under periodic
boundary conditions. The numerical dispersion relation is investigated. Combined
with splitting scheme, an explicit splitting symplectic wavelet collocation method
is also constructed. Numerical experiments illustrate that the proposed methods are
efficient, have high spatial accuracy and can preserve energy conservation laws exactly. 相似文献
5.
Yunqing Huang Jichun Li & Yanping Lin 《advances in applied mathematics and mechanics.》2013,5(4):494-509
In this paper, the time-dependent Maxwell's equations used to modeling
wave propagation in dispersive lossy bi-isotropic media are investigated.
Existence and uniqueness of the modeling equations are proved.
Two fully discrete finite element schemes are proposed, and their practical
implementation and stability are discussed. 相似文献
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7.
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Examples include Harry Dym equation, Korteweg-de Vries-type equations, and Schwarzian KdV equation. It is also shown that for linear evolution equations all their conservation laws are (modulo trivial conserved vectors) at most quadratic in the dependent variable and its derivatives. 相似文献
8.
Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma 下载免费PDF全文
Jichun Li 《advances in applied mathematics and mechanics.》2009,1(1):107-124
In this paper, we develop a residual-based a posteriori error
estimator for the time-dependent Maxwell's equations in the cold
plasma. Here we consider a semi-discrete interior penalty
discontinuous Galerkin (DG) method for solving the governing
equations. We provide both the upper bound and lower bound analysis
for the error estimator. This is the first posteriori error analysis
carried out for the Maxwell's equations in dispersive media. 相似文献
9.
C. Vanneste 《The European Physical Journal B - Condensed Matter and Complex Systems》2001,23(3):391-404
This paper presents an extension to electromagnetic fields of the wave automaton, which was introduced in recent years for
describing wave propagation in inhomogeneous media. Using elementary processes obeying a discrete Huygens' principle and satisfying
fundamental symmetries such as time reversal and reciprocity, this new wave automaton is capable of modeling Maxwell's equations
in 3+1 dimensions. It supplements the methods that were developed early for scalar and spinor fields.
Received 19 July 2001 相似文献
10.
通过分析指出:电磁场是一个不可分割的整体,Maxwell方程组是电磁场的运动方程,电磁场的源是电荷与电流的分布,Jefimenko公式是真空中Maxwell方程组的解。 相似文献
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In 1986 Tonomura and his co-workers reported the results of a test for the existence of the magnetic Aharonov-Bohm (AB) effect using permalloy toroids with a superconducting niobium coating. Classical Maxwell theory suggests that the group may have been able to observe the AB effect only because their superconducting shield was quite thin (2.5 penetration depths), and that, had a very thick shield been used, no AB effect would have been observable. However, orthodox quantum mechanics predicts that a static vector potential penetrates a superconducting shield of any thickness in cases where the magnetic flux inside the sample is an odd integer times h/2e. Regardless of which view is correct, it is argued in this paper that a superconductor only screens leakage or fringing field to the extent that it screens vector potential, so that there are doubts that the experiment answered the critics of earlier experiments, as was claimed. 相似文献
13.
文章系统地评述了麦克斯韦妖佯谬相关的热力学基本观念的发端、历史沿革以及当前正在发展的科学前沿问题。文章作者从以下两个方面详细地阐述了为什么信息处理过程本质上是一个与麦克斯韦妖观念相“纠缠”的物理过程:(1)信息认知和提取可以辅助物理系统更有效地做功;(2) 物理定律会对信息处理过程施加一个不可逾越的物理极限。这些分析与概念的澄清将有助于正确理解计算过程和热力学之间的关系。 相似文献
14.
本文及后继三篇文章在电磁学和电动力学框架内分别介绍磁单极的若干奇特性质.针对由一个磁单极和一个点电荷构成的体系,首先证明这个体系的电磁场角动量具有极简洁的表达式并讨论可能的电荷量子化,然后显式地演示体系角动量的转化与守恒. 相似文献
15.
M. M. Shabat M. A. Abdel-Naby Y. S. Madi D. Jäger 《International Journal of Infrared and Millimeter Waves》1999,20(4):725-735
We present here two methods of analysis of the complex moving waveguide. One approach is a numerical technique based on Davidenko's method, the other is a perturbation method. Numerical results by Davidenko's method are compared with these obtained from the perturbation method. It is found that the results of the perturbation method are in a good agreement with the numerical one. A comparative study of the propagation and attenuation characteristics of the stationary and moving waveguides has also been investigated and discussed. These results could be used in designing many optical moving sensors. 相似文献
16.
Michael Devereux 《Foundations of Physics Letters》2003,16(1):41-55
Using an isolated measurement process, we calculate the effect measurement has on entropy for the multi-cylinder Szilard engine. We find that the system of cylinders possesses an entropy associated with cylinder total energy states, and that it records information transferred at measurement. Contrary to other's results, we find that the apparatus loses entropy due to measurement. The Second Law of Thermodynamics may be preserved if Maxwell's demon gains entropy moving the engine partition. 相似文献
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We offer a non-covariant derivation of the equation of motion for a dual charge, taking into account the radiation reaction, by means of a simple model of charge: a dumbbell. In the derivation we handle retarded quantities avoiding some of the usual approximations, in particular we do not restrict our calculations to first order inv/c nor overlook thet dependence ofR=|x–r(t)|. The differences with the radiation reaction problem for pure electric or magnetic charges are exhibited. 相似文献
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We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries that can be obtained using the method introduced by Bluman and collaborators [G.W. Bluman, S. Kumei, Symmetries and Differential Equations, Springer, New York, 1989; G.W. Bluman, G.J. Reid, S. Kumei, New classes of symmetries for partial differential equations, J. Math. Phys. 29 (1988) 806-811]. In fact, these are simplest potential symmetries associated with potential systems which are constructed with single conservation laws having no constant characteristics. Furthermore we classify the conservation laws for classes of porous medium equations, and then using the corresponding conserved (potential) systems we search for potential symmetries. This is the approach one needs to adopt in order to determine the complete list of potential symmetries. The provenance of potential symmetries is explained for the porous medium equations by using potential equivalence transformations. Point and potential equivalence transformations are also applied to deriving new results on potential symmetries and corresponding invariant solutions from known ones. In particular, in this way the potential systems, potential conservation laws and potential symmetries of linearizable equations from the classes of differential equations under consideration are exhaustively described. Infinite series of infinite-dimensional algebras of potential symmetries are constructed for such equations. 相似文献