Resonances in the continuum, field induced nonstationary states, and the state and property specific treatment of the many electron problem

TL;DR

This paper reviews theories and computational methods for nonperturbative solutions to many-electron problems, focusing on resonance and nonstationary states under various external fields, highlighting advances in electronic structure analysis.

Contribution

It introduces and summarizes novel theoretical and computational approaches for analyzing complex many-electron systems in strong external fields.

Findings

Development of nonperturbative methods for many-electron problems

Application to resonance and nonstationary states

Enhanced understanding of electronic structures under external fields

Abstract

The paper summarizes elements of theories and computational methods that we have constructed and applied over the years for the nonperturbative solution of many electron problems, in the absence or presence of strong external fields, concerning resonance and nonstationary states with a variety of electronic structures.