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

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 ($N{H}_3$, $P{H}_3$, $As{H}_3$, $N{H}_{2}CN$) where this inversion phenomenon occurs, ammonia molecule $N{H}_3$ 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.

16 pages, 15 figures, 2 tables

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• Information theory in molecular biology
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Cited by in corpus (5)

• Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Information and thermodynamic properties of a non-Hermitian particle ensemble
• Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect
• Position- and Momentum-Space Quantum Information Measures of the Double-Morse Oscillator