12 research outputs found
P-matrix and J-matrix approaches. Coulomb asymptotics in the harmonic oscillator representation of scattering theory
The relation between the R- and P-matrix approaches and the harmonic
oscillator representation of the quantum scattering theory (J-matrix method) is
discussed. We construct a discrete analogue of the P-matrix that is shown to be
equivalent to the usual P-matrix in the quasiclassical limit. A definition of
the natural channel radius is introduced. As a result, it is shown to be
possible to use well-developed technique of R- and P-matrix theory for
calculation of resonant states characteristics, scattering phase shifts, etc.,
in the approaches based on harmonic oscillator expansions, e.g., in nuclear
shell-model calculations. P-matrix is used also for formulation of the method
of treating Coulomb asymptotics in the scattering theory in oscillator
representation.Comment: Revtex, 57 pages including 15 figures; to be published in Annals of
Physic
Spectral characteristics of anisotropic dielectric disk resonator with imperfect conducting end walls
The electrodynamic analysis of a dielectric disk resonator with imperfect conducting end walls is carried out at excitation of "whispering gallery" oscillations. The possibility of solving the inverse problem is considered: it consists in the determination of permittivity tensor components of anisotropic uniaxial crystal. The spectral characteristics of teflon disk resonator with copper end surfaces are studied in the 8 mm wave band