The Stark effect on $H_2^+$-like molecules

TL;DR

This paper investigates how an external electric field (Stark effect) influences the vibrational energy levels of $H_2^+$-like molecules, revealing the existence of sharp resonances within specific energy intervals.

Contribution

It applies the Born-Oppenheimer approximation to analyze the Stark effect on $H_2^+$-like molecules, demonstrating the presence of localized vibrational resonances.

Findings

Sharp vibrational resonances exist under the Stark effect

Resonances are localized in the same energy interval as vibrational levels

The Born-Oppenheimer approximation effectively describes these phenomena

Abstract

We consider the vibrational energy levels of the first two electronic states of the molecule ion $H_2^+$. The Born-Oppenheimer method applied to the case of the Stark effect on a $H_2^+$-like molecule gives existence of sharp resonances localized in the same interval of energy of the vibrational levels.