Free electromagnetic fields, satisfying Maxwell's equations with no charges and electric currents, can be described by complex vector fields. In the standard formulation fields sharply dependent on position time, one obtains integrals that are mathematically ill-defined. This happens for massless Pauli--Jordan function, which is used to describe time evolution of appears in Poisson brackets cla...

Quantization implies independent degrees of freedom that do not appear in the classical theory, given by fluctuations, correlations, and higher moments a state. A systematic derivation resulting dynamical systems is presented here cosmological application for near-Gaussian states single-field inflation model. As consequence, Higgs made viable observationally becoming multi-field model with spec...

Previously, we demonstrated that initial acquisition of a lever-press task resulted in higher levels of activity-regulated cytoskeleton-associated protein (Arc) mRNA induction than did overtrained performance (Kelly and Deadwyler, 2002). The present study extends this finding by characterizing (1) the behavioral regulation of Arc protein expression, (2) the time course of decay of Arc mRNA sign...