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Quantum tunneling and information entropy in a double square well potential: The ammonia molecule

2013/07/03 by Spyros Tserkis, S. T. Tserkis, Ch. C. Moustakidis +2 · 15 citations
Computer Science · Physics and Astronomy · #Atomic physics #Entropy (arrow of time) #Molecule #Particle in a box #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum mechanics #Quantum tunnelling #Rectangular potential barrier #physics.chem-ph #quant-ph

paper · pdf · doi:10.1016/j.physleta.2013.12.004

published in Physics Letters A 378(5-6), 497-504 (Elsevier BV) · 16 pages, 15 figures, 2 tables

arxiv created 2013/07/03 · openalex publication_date 2013/12/11 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 (NH3, PH3, AsH3, NH2CN) where this inversion phenomenon occurs, ammonia molecule NH3 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.

Citations