An electron in the presence of multiple zero range potentials and an external laser field -- exact solutions for photoionization and stimulated bremsstrahlung

TL;DR

This paper derives exact solutions for an electron interacting with multiple zero range potentials under a laser field, enabling precise analysis of photoionization and stimulated bremsstrahlung processes.

Contribution

It introduces a comprehensive method to obtain exact wave functions for electron dynamics in multi-ZRP and laser fields, including arbitrary pulse shapes.

Findings

Exact wave functions for photoionization derived

Solutions applicable to arbitrary laser pulse shapes

Enhanced understanding of electron behavior in complex potentials

Abstract

The method of zero range potential (ZRP) for one-electron problems is reviewed. In the absence of an external electromagnetic field, the notion of a ZRP is introduced from different points of view and for an arbitrary dimension of space. Then, three-dimensional problems of motion of an electron in the field of several ZRPs and laser radiation are studied. Exact wave functions for the processes of photoionization and stimulated bremsstrahlung in the presence of the laser field of an arbitrary pulse shape are obtained in the form of one-dimensional integral representations.