Quantum information entropy for a hyperbolical potential function

R. Valencia-Torres; Guo Hua Sun; Shi Hai Dong

doi:10.1088/0031-8949/90/3/035205

Quantum information entropy for a hyperbolical potential function

R. Valencia-Torres, Guo Hua Sun, Shi Hai Dong

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained. The position S_x and momentum S_p Shannon information entropies for the low-lying states are calculated. Some interesting features of the information entropy densities and as well as the probability densities and are demonstrated. We find that the choices of the values for those parameters have to satisfy the condition on . We also notice that the and are symmetric to the momentum p and the or is equal or greater than 1 at some positions r or momentum p. In addition, the Bialynicki-Birula-Mycielski inequality is tested from different cases and found to hold for these cases.

Original language	English
Article number	035205
Journal	Physica Scripta
Volume	90
Issue number	3
DOIs	https://doi.org/10.1088/0031-8949/90/3/035205
State	Published - 1 Mar 2015

Keywords

BBM inequality
hyperbolic potential function
quantum information entropy

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10.1088/0031-8949/90/3/035205

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title = "Quantum information entropy for a hyperbolical potential function",

abstract = "The exact solutions to the Schr{\"o}dinger equation with a hyperbolic potential are obtained. The position Sx and momentum Sp Shannon information entropies for the low-lying states are calculated. Some interesting features of the information entropy densities and as well as the probability densities and are demonstrated. We find that the choices of the values for those parameters have to satisfy the condition on . We also notice that the and are symmetric to the momentum p and the or is equal or greater than 1 at some positions r or momentum p. In addition, the Bialynicki-Birula-Mycielski inequality is tested from different cases and found to hold for these cases.",

keywords = "BBM inequality, hyperbolic potential function, quantum information entropy",

author = "R. Valencia-Torres and Sun, {Guo Hua} and Dong, {Shi Hai}",

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T1 - Quantum information entropy for a hyperbolical potential function

AU - Valencia-Torres, R.

AU - Sun, Guo Hua

AU - Dong, Shi Hai

PY - 2015/3/1

Y1 - 2015/3/1

N2 - The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained. The position Sx and momentum Sp Shannon information entropies for the low-lying states are calculated. Some interesting features of the information entropy densities and as well as the probability densities and are demonstrated. We find that the choices of the values for those parameters have to satisfy the condition on . We also notice that the and are symmetric to the momentum p and the or is equal or greater than 1 at some positions r or momentum p. In addition, the Bialynicki-Birula-Mycielski inequality is tested from different cases and found to hold for these cases.

AB - The exact solutions to the Schrödinger equation with a hyperbolic potential are obtained. The position Sx and momentum Sp Shannon information entropies for the low-lying states are calculated. Some interesting features of the information entropy densities and as well as the probability densities and are demonstrated. We find that the choices of the values for those parameters have to satisfy the condition on . We also notice that the and are symmetric to the momentum p and the or is equal or greater than 1 at some positions r or momentum p. In addition, the Bialynicki-Birula-Mycielski inequality is tested from different cases and found to hold for these cases.

KW - BBM inequality

KW - hyperbolic potential function

KW - quantum information entropy

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DO - 10.1088/0031-8949/90/3/035205

M3 - Artículo

SN - 0031-8949

VL - 90

JO - Physica Scripta

JF - Physica Scripta

IS - 3

M1 - 035205

ER -

Quantum information entropy for a hyperbolical potential function

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Keywords

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