Bound state representation of scattering solutions

Magnon Bound-state Scattering in Gauge and String Theory

It has been shown that, in the infinite length limit, the magnons of the gauge theory spin chain can form bound states carrying one finite and one strictly infinite R-charge. These bound states have been argued to be associated to simple poles of the multi-particle scattering matrix and to world sheet solitons carrying the same charges. Classically, they can be mapped to the solitons of the com...

Scattering and bound-state solutions to the wave equation for one electron in the presence of a physical dipole

K-Matrix Formalism for Three-Body Scattering and Bound-State Scattering

In this paper we introduce K matrix for three-body scattering and develop the K-matrix formalism corresponding to Faddeev's T-matrix formalism.l) In a previous paper ) (which is referred to, hereinafter, as A), brief but extensive explanations have been given for Faddeev's T-matrix formalism. The K-matrix formalism will be described in parallel with it. The symbols in A are also used here witho...

Scattering Representation of Modulated Sounds

Mel-frequency spectral coefficients (MFSCs), calculated by averaging the spectrogram along a mel-frequency scale, are used in many audio classification tasks. Their efficiency can be partly explained by their stability to deformation in a Euclidean norm. However, averaging the spectrogram loses high-frequency information. This loss is reduced by keeping the window size small, around 20 ms, whic...

Scattering Matrix in the Heisenberg Representation for a System with Bound States

A definition is formulated of the scattering matrix for a closed physical system with bound states which makes use throughout only of the assumed observable p~operties of the system. A direct product space, X, is defined in which the ingredient factor space comprises the steady states-vacuum, oneparticle, and bound states-of the physical system. It is argued that the boundary conditions for a s...