A general proof is given for the equality between group velocity and energy velocity for linear wave propagation in a homogeneous medium with arbitrary spatial and temporal dispersion. In the series of physics “Questions” in the American Journal of Physics, K. M. Awati and T. Howes ask for a general proof of the fact that in linear dispersive wave propagation, energy propagates at the group vel...

We formulate and solve a physically-based, phase space kinetic equation for transport in the presence of trapping. Trapping is incorporated through a waiting time distribution function. From the phase-space analysis, we obtain a generalized diffusion equation in configuration space. We analyse the impact of the waiting time distribution, and give examples that lead to dispersive or nondispersiv...

We use the available information on the ratio between the electric and magnetic proton form factors coming from recently published space-like data and from the few available time-like data. We apply a dispersive procedure on these data to evaluate the behaviour of this ratio, as a complex function, for all values of q.

:. ABSTRACT Interpreting the renormalization group in terms of its natural differential dispersive character, we analyze systematically general large momentum transfer processes in the context of renormalizable interacting quantum fields . The possibility of a consistent treatment of such processes is thereby attained. This possibility arises mainly from the occurrence of a power series in the ...

The current status of lattice and dispersive bound calculations for exclusive semileptonic B decays is reviewed. Emphasis is placed on decays relevant for the measurement of the sides of the unitarity triangle determined by |Vub| and |Vcb|.

In this paper, we study the infinite propagation speed and the limit behavior for the b-family equation with dispersive term. We prove that any nontrivial classical solution of the b-family equation with dispersive term will not have compact support if its initial data has this property. The issue of passing to the limit as the dispersive parameter tends to zero for the solution of the b-family...

Time-dependent dispersive shallow water waves in an unbounded domain are considered. The in5nite domain is truncated via an arti5cial boundary B, and a high-order non-re(ecting boundary condition (NRBC) is imposed on B. Then the problem is solved by a 5nite di6erence scheme in the 5nite domain bounded by B. The sequence of NRBCs proposed by Higdon is used. However, in contrast to the original l...

Distance compatible set-labeling of a graph G is an injective setassignment f : V (G) → 2X , X a nonempty ground set, such that the corresponding induced function f⊕ : V (G)× V (G) → 2X −{∅}, defined by f⊕(u, v) = f(u) ⊕ f(v) satisfies | f⊕(u, v) |= k (u,v) d(u, v) for all distinct u, v ∈ V (G), where d(u, v) is the distance between u and v, and k (u,v) is a constant, not necessarily an integer...

We review recent results on global attractors of U(1)-invariant dispersive Hamiltonian systems. We study several models based on the Klein-Gordon equation and sketch the proof that in these models, under certain generic assumptions, the weak global attractor is represented by the set of all solitary waves. In general, the attractors may also contain multifrequency solitary waves; we give exampl...