In this chapter we mathematically describe how sound propagates through the ocean. This
is the study of sound in a fluid waveguide, ie, a fluid with bounding walls, the surface and …

Gamow states in momentum representation are defined as solutions of a homogeneous
Lippmann-Schwinger equation for purely outgoing particles. We study their properties when …

We use the resonances of the spherical shell potential to present a thorough description of
the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded that the …

We introduce the differential and the total decay widths of a resonant (Gamow) state
decaying into a continuum of stable states. When the resonance has several decay modes …

By using the fact that the Gamow states in the momentum representation are square
integrable, we obtain the differential and the total decay width of a two-body, non-relativistic …

This invaluable book presents most of the important papers of Emil Wolf, published over half-
a-century. It covers chiefly diffraction theory (especially the analysis of the focal region), the …

The set of natural modes, associated with quantum mechanical scattering from a central
potential of finite‐range is shown to be complete. The natural modes satisfy a non‐Hermitian …

In a recent paper [Phys. Rev. A 90, 043830 (2014) PLRAAN 1050-2947 10.1103/PhysRevA.
90.043830] it was shown that the so-called aperture response tensor is the central concept …

Using Green's function methods we consider the problem of scattering from a rough
interface separating two semi-infinite homogenous media. We derive a single coordinate …

The present paper proposes a comparison between the extinction theorem and the Sturm–
Liouville theory approaches for calculating the electromagnetic (em) field inside an optical …