Dynamical Correlation Theory for an Escape Process

TL;DR

This paper develops a dynamical correlation theory for electron escape from a helium surface, accounting for electron-electron interactions and magnetic fields, providing explicit escape rate formulas with novel temperature and magnetic field dependencies.

Contribution

It introduces a simplified approach reducing degrees of freedom and derives explicit escape rate expressions considering correlations and external magnetic effects.

Findings

Escape rate depends exponentially on magnetic field squared in weak fields.

Escape rate increases exponentially with temperature in an unusual manner.

The theory effectively incorporates electron-electron correlations and magnetic influences.

Abstract

A dynamical theory which incorporates the electron-electron correlations and the effects of external magnetic fields for an electron escaping from a helium surface is presented. The degrees of freedom in the calculation of the escape rate is reduced from $3N$ to 3 as compared with other approach. Explicit expressions for the escape rate in various situations are obtained. In particular, in the weak parallel magnetic field limit the tunneling rate has an exponential dependence quadratic with magnetic field strength and an unusual exponential increase linear with temperature.