On the theory of cavities with point-like perturbations: part II. Rectangular cavities

Abstract

We consider an application of a general theory for cavities with point-like perturbations for a rectangular shape. Hereby, we concentrate on experimental wave patterns obtained for nearly degenerate states. The nodal lines in these patterns may be broken, which is an effect coming only from the experimental determination of the patterns. We show that a wavefunction measurement based on a movable point-like perturbation has an intrinsic limit of resolution. When shifts of resonances become comparable with level spacings, the most pronounced effect of the unavoidable mixing of eigenfunctions is a rearrangement of the experimentally obtained nodal line structure. These findings are explained within a framework of the developed theory.