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| Tags: changing, each, electric, fields, magnetic, other |
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These equations have been tested for well over a century
now, and as far as we know, they are correct and complete. Their most spectacular prediction is that changing electric and magnetic fields can make each other by propagating as waves through space. Maxwell's equations predict that these waves should travel at the speed [c]. http://maxwell.byu.edu/~spencerr/web...2/node114.html The interstellar gas consists partly of neutral atoms and molecules, as well as charged particles, such as ions and electrons. This gas is extremely dilute, with an average density of about 1 atom per cubic centimeter. http://www-ssg.sr.unh.edu/ism/what1.html The term [displacement current] is an important component of the Maxwell equations, and represents magnetic effects caused by varying electric fields that were unknown at Ampère's time. In a way, J_D is a fictitious quantity, since it does not correspond to an actual current, but inclusion of this term is mandatory to successfully explain observed physical phenomena accompanying time-varying electric fields. http://scienceworld.wolfram.com/phys...ntCurrent.html Figure 3: The wave impedance measures the relative strength of electric and magnetic fields. It is a function of source structure. http://www.conformity.com/0102reflectionsfig3.gif http://www.conformity.com/0102reflections.html The demonstration that the electromagnetic fields derived from the Lienard-Wiechert potentials do not satisfy the Maxwell equations is proved to be false. Errors were made in the computation of the derivatives of retarded quantities. The subsequent inference of the necessity of both instantaneous and retarded electromagnetic interactions cannot be made. Different choices of gauge can lead to a variety of forms for the scalar and vector potentials, always with the same retarded fields. Classical electromagnetic theory is complete as usually expressed. One may choose to work in the Lorenz gauge in which all quantities are retarded. http://arxiv.org/abs/hep-ph/0203076 http://arxiv.org/abs/physics/0204034 The stationary solutions for the potentials with time dependence e^-ikt (e^+ikt ) correspond to the left (right) circularly polarized waves: the orthogonality properties (31) suggest an alternative approach to second quantizing the electromagnetic field, which we hope to address in the future. Under the duality transformation (E -- B, B -- -E) , or F -- iF, the transformation of the potentials is just {a, ß} -- i {a, ß} . The absence of any duality transformation for the usual potentials A^µ === (f,A) has been commented on recently by Witten.20 On the other hand the interaction of a charged particle with the field is naturally described via the potentials A^µ , by replacing the free momentum p^µ with the gauge invariant (p^µ - eA^µ) , whereas the role of the {a, ß} potentials in gauge theory is not clear. http://arxiv.org/abs/physics/0309092 Sue... http://physics.nist.gov/cuu/Images/alphaeq.gif http://physics.nist.gov/cuu/Constants/alpha.html http://web.mit.edu/8.02t/www/802TEAL3D/teal_tour.htm http://farside.ph.utexas.edu/teachin.../lectures.html http://www.mathpages.com/rr/s2-02/2-02.htm http://arxiv.org/abs/hep-th/0001046 |
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