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

F. A. Serrano; B. J. Falaye; Shi Hai Dong

doi:10.1016/j.physa.2015.11.020

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

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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

25 Citas (Scopus)

Resumen

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)=-_V0^csch2(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.

Idioma original	Inglés
Páginas (desde-hasta)	152-157
Número de páginas	6
Publicación	Physica A: Statistical Mechanics and its Applications
Volumen	446
DOI	https://doi.org/10.1016/j.physa.2015.11.020
Estado	Publicada - 15 mar. 2016

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@article{494a6e4004e94a51b0e7928ed128cbf5,

title = "Information-theoretic measures for a solitonic profile mass Schr{\"o}dinger equation with a squared hyperbolic cosecant potential",

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 Schr{\"o}dinger 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 = "BBM inequality, Shannon entropy, Solitonic profile mass Schr{\"o}dinger equation",

author = "Serrano, {F. A.} and Falaye, {B. J.} and Dong, {Shi Hai}",

year = "2016",

month = mar,

day = "15",

doi = "10.1016/j.physa.2015.11.020",

language = "Ingl{\'e}s",

volume = "446",

pages = "152--157",

journal = "Physica A: Statistical Mechanics and its Applications",

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TY - JOUR

T1 - Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential

AU - Serrano, F. A.

AU - Falaye, B. J.

AU - Dong, Shi Hai

PY - 2016/3/15

Y1 - 2016/3/15

N2 - 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.

AB - 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.

KW - BBM inequality

KW - Shannon entropy

KW - Solitonic profile mass Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=84953251174&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2015.11.020

DO - 10.1016/j.physa.2015.11.020

M3 - Artículo

SN - 0378-4371

VL - 446

SP - 152

EP - 157

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

ER -

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

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