Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential

F.A. Serrano, B.J. Falaye and Shi-Hai Dong

Physica A: Statistical Mechanics and its Applications, 2016, vol. 446, issue C, 152-157

Abstract: Entropic measures provide analytic tools to help us understand the stability of quantum systems. The spreading of the quantum-mechanical probability cloud for solitonic profile mass Schrödinger equation with a potential V(ax)=−V0csch2(ax) is studied in position and momentum space by means of global (Shannon’s information entropy) information-theoretic measures. The position information entropy is considered only for x>0 due to the singular point at x=0. The entropy densities ρs(x) and ρs(p) are demonstrated and the BBM inequality is saturated.

Keywords: Shannon entropy; BBM inequality; Solitonic profile mass Schrödinger equation (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:446:y:2016:i:c:p:152-157

DOI: 10.1016/j.physa.2015.11.020

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