A study on quantum similarity in the phase space

J.M. Sellier, D.Y. Ivanova and I. Dimov

Physica A: Statistical Mechanics and its Applications, 2016, vol. 460, issue C, 116-120

Abstract: Quantum similarity represents an important concept in the context of many applied disciplines such as physical and quantum chemistry. Nowadays, two definitions exist based, respectively, on the real and the phase spaces. In this paper, we focus on the second one, which was presented recently, and investigate it. In particular, being its mathematical definition dependent on a given integer s, we study the influence of this parameter on the similarity between two systems. To keep this investigation comprehensible, while still meaningful, we focus on a very simple quantum system represented by a hydrogen atom in the ground and excited states corresponding to the quantum numbers (n,l,m)=(1,0,0) and (n,l,m)=(2,0,0).

Keywords: Quantum similarity; Molecular descriptor; Phase space; Quantum mechanics; Quantum chemistry (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:460:y:2016:i:c:p:116-120

DOI: 10.1016/j.physa.2016.05.003

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