A 6-component “wave function” (not field, but S-matrix interpretable) for a massive spin-1 particle parallels the Dirac “chiralitydoubled” 4-component wave function for a spin-1/2 particle, by pairing two wave functions for same spin but opposite “handedness”. The correlated “opposite-parity” pair of complex 3-vectors defines a fluctuating spin-correlated lightlike “internal velocity” as well a...

This expression contains two pieces non-calculable within pQCD: the vector meson WF ψ(z,~k) and the differential gluon structure function (DGSF) F(x,~κ, ~ ∆). The principal novelty of this work is that DGSF is now under control. The off-forward DGSF F(x,~κ, ~ ∆) can be linked to the forward DGSF, which has been recently determined from experimental data on F2p in the whole Q domain . This drama...

In tire industry, it is very crucial to evaluate physical and mechanical properties of the rubber which is used for production of the tire, to ensure the quality of the final product. Resilience is an important property of a rubber, which cannot be evaluated through direct measurement in production cycle in this industry. Therefore, non-destructive ultrasonic testing, which has been used in man...

In an absorbing medium, where the vector W5]v/]k usually is complex for real values of the wave vector k, the group velocity W may become real for some complex values of k. The role of real group velocity in the propagation of one-dimensional wave packets in homogeneous absorbing media is examined. Applying the saddle point method to an analysis of the asymptotic behavior of the Gaussian wave p...

a saddle point variational (spv ) method was applied to the dirac equation as an example of a fully relativistic equation with both negative and positive energy solutions. the effect of the negative energy states was mitigated by maximizing the energy with respect to a relevant parameter while at the same time minimizing it with respect to another parameter in the wave function. the cornell pot...