Quantum Tunneling and Information Entropy in a Double Square Well Potential: Ammonia Molecule

TL;DR

This paper investigates how quantum tunneling in the ammonia molecule's double square well potential affects information entropy measures and statistical complexity, providing insights into quantum phenomena through entropy analysis.

Contribution

It introduces an analysis of quantum tunneling effects on information entropy and complexity specifically in the ammonia molecule's double well potential system.

Findings

Quantum tunneling influences Shannon and Fisher entropy measures.

The study reveals changes in statistical complexity due to tunneling effects.

Insights into quantum inversion phenomena through entropy analysis.

Abstract

Quantum tunneling is the quantum-mechanical effect where a particle tunnels through a classically forbidden region. Double Square Well Potential (DSWP) is a system where this phenomenon is feasible. Numerous phenomena can be illustrated by considering motion in a pair of wells that are separated by a barrier of finite height and width. The energy level splitting, resulting from barrier penetration, is the reason of the so-called inversion spectrum, which is an example of quantum tunneling. Out of several molecules ($NH_3$, $PH_3$, $AsH_3$, $NH_2CN$) where this inversion phenomenon occurs, ammonia molecule $NH_3$ provides a nice physical realization of a vibrational system with a DSWP. The main goal of the present work is to examine the implications of quantum tunneling on information entropy measures (Shannon's and Fisher's) and statistical complexity.