Partial wave decomposition in Friedrichs model with self-interacting continua

Simulation of RDX Decomposition Interacting with Shock Wave via Molecular Dynamics

Cylotrimethylenetrinitramine (RDX), with the chemical formula C3H6N6O6,is an energetic organic molecule used widely in military and industrial commodities ofexplosives. By stimulating RDX through exerting temperature or mechanical conditionssuch as impact or friction, decomposition reaction occurs at a very high rate. Moleculardynamics techniques and LAMMPS code with Rea...

On the wave operators for the Friedrichs-Faddeev model

We povide new formulae for the wave operators in the context of the Friedrichs-Faddeev model. Continuity with respect to the energy of the scattering matrix and a few results on eigenfunctions corresponding to embedded eigenvalues are also derived.

Relativistic NN scattering without partial wave decomposition

We consider the covariant Spectator equation with a One Boson Exchange (OBE) kernel, and apply it to the NN system. Relativistic effects such as retardation and negative-energy state components are included in that equation. We develop a method, based on the Padé method, to solve the Spectator equation without partial wave decomposition. The convergence of the partial wave decomposition series ...

Linear Wave Motions in Continua with Nano-Pores

The Friedrichs-Model with fermion-boson couplings

In this work we present an extended version of the Friedrichs Model, which includes fermion-boson couplings. The set of fermion bound states is coupled to a boson field with discrete and continuous components. As a result of the coupling some of the fermion states may become resonant states. This feature suggests the existence of a formal link between the occurrence of Gamow Resonant States in ...