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

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

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.

Suggested Citation

  • Serrano, F.A. & Falaye, B.J. & Dong, Shi-Hai, 2016. "Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 152-157.
    • Handle: RePEc:eee:phsmap:v:446:y:2016:i:c:p:152-157
    DOI: 10.1016/j.physa.2015.11.020
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