The wave function of a photoelectron near the center of a quantum vortex

The behavior of a photoelectron in the vicinity of the localization of the quantum vortex is theoretically investigated in a two-dimensional approximation. The obtained photoelectron wave function has a simple structure, which is the product of a Gaussian wave packet by a polynomial containing information about the vortex. With its help, the probability density and current are analyzed, both in momentum and coordinate spaces. The effect of the intensity of an ionizing ultrashort laser pulse on the shape of a quantum vortex is also investigated.