Longitudinal fields

With long-term interference by several current circuits, the corresponding partial field strengths must be determined. The resultant longitudinal field strength can be assumed to be the square root of the sum of the squares of the partial field strengths. 

Ions moving toward the cathode pass through an intense longitudinal field which tends to reduce their lateral diffusion. Thus, the path of the ions may be regarded as beam-like. 

Cantopher T, Olivieri S, Cleave N, et al Chronic benzodiazepine dependence a comparative smdy of abrupt withdrawal under propranolol cover versus gradual withdrawal. Br J Psychiatry 156 406-411, 1990 Caplan RD, Andrews FM, Conway TL, et al Social effects of diazepam use a longitudinal field study. Soc Sci Med 21 887—898, 1985 Charney DA, Paraherakis AM, Gill KJ The treatment of sedative-hypnotic dependence evaluating clinical predictors of outcome. J Clin Psychiatry 61 190—195, 2000... 

Sauer et al. [185] determined the gyromagnetic ratio g(9/2)/g(7/2) and the magnetic moment of the 6.2 keV level in Ta in two ways, (1) from the Zeeman split velocity spectrum of a metal source in a longitudinal field versus a Ta... 

Figure 3.1. Magnetic energy versus 0 in the case of a longitudinal field for different values of the reduced held h = H/Hk-...

Here a = X and y(a, z) = Jo dt e is the incomplete gamma function. It can be noted that for the axially symmetric potential with a longitudinal field, the only dependence on X is the trivial one in Xp, while in the nonaxially symmetric potential obtained with a transversal field the relaxation rate will strongly depend on X through F(oc), which is plotted in Figure 3.6. 

Hayazawa, N., Saito, Y., and Kawata, S. 2004b. Detection and characterization of longitudinal field for tip-enhanced Raman spectroscopy. Appl. Phys. Lett. 85 6239 1. 

If e = = 0, the electric field is divergence free this is the general condition for a transverse field. Except possibly at frequencies where e = 0, therefore, the medium cannot support longitudinal fields. 

Possible Methods for Determination of the Photon Rest Mass The Photon as a Particle with an Associated Wave The Electric Charge, Angular Momentum, and Longitudinal Field The Photon Radius... 

As a consequence, the solutions of the field equations were also found to include longitudinal fields. Thereby Evans [45] was the first to give attention to a longitudinal magnetic field part, B, of the photon in the direction of propagation. 

C. The Electric Charge, Angular Momentum, and Longitudinal Field... 

The longitudinal field B(3) therefore results from the breaking of gauge invariance. There is no Ea field by definition [Eq. (663)]. Under the gauge transform... 

Any vectorial field can be split into a sum of two different kinds of vectorial fields known respectively as the longitudinal field and the transverse field j. These fields satisfy, anywhere in space, the following conditions ... 

Helicoidal motions mix ordinary fields with Beltrami fields. Indeed, the U field can always be split into a longitudinal field Uy along a given direction (in the present case, direction z), and a transverse field Uj along a direction normal to the previous one (in the present case, a direction normal to z), thus ensuring the following set of identities ... 

A SEMICLASSICAL MODEL OF THE PHOTON BASED ON OBJECTIVE REALITY AND CONTAINING LONGITUDINAL FIELD COMPONENTS... 

Munera and Guzman [56] obtained new explicit noncyclic solutions for the three-dimensional time-dependent wave equation in spherical coordinates. Their solutions constitute a new solution for the classical Maxwell equations. It is shown that the class of Lorenz-invariant inductive phenomena may have longitudinal fields as solution. But here, these solutions correspond to massless particles. Hence, in this framework a photon with zero rest mass may be compatible with a longitudinal field in contrast to that Lehnert, Evans, and Roscoe frameworks. But the extra degrees of freedom associated with this kind of longitudinal solution without nonzero photon mass is not clear, at least at the present state of development of the theory. More efforts are needed to clarify this situation. 

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