Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

doi:10.1088/1674-1056/22/5/050302

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50302-050302.doi: 10.1088/1674-1056/22/5/050302

Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

Guo-Hua Sun^a, M. Avila Aoki^a, Shi-Hai Dong^b

a Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, Valle de Chalco Solidaridad, Estado de México, 56615, Mexico;
b Departamento de Física, Escuela Superior de Física y Matemátics, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D. F. 07738, Mexico

收稿日期:2012-09-22 修回日期:2012-10-31 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by COFAA-IPN (Grant No. 20120876-SIP-IN).

Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

Guo-Hua Sun^a, M. Avila Aoki^a, Shi-Hai Dong^b

a Centro Universitario Valle de Chalco, Universidad Autónoma del Estado de México, Valle de Chalco Solidaridad, Estado de México, 56615, Mexico;
b Departamento de Física, Escuela Superior de Física y Matemátics, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D. F. 07738, Mexico

Received:2012-09-22 Revised:2012-10-31 Online:2013-04-01 Published:2013-04-01
Contact: Guo-Hua Sun E-mail:sunghdb@yahoo.com
Supported by:
Project supported by COFAA-IPN (Grant No. 20120876-SIP-IN).

摘要/Abstract

摘要： Shannon entropy for lower position and momentum eigenstates of Pöschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density ρ(x) moves right when the potential parameter V₁ increases and its amplitude decreases. However, its wave through moves left with the increase in the potential parameter |V₂|. Concerning the momentum information entropy density ρ(p), we observe that its amplitude increases with increasing potential parameter V₁, but its amplitude decreases with increasing |V₂|. The Bialynicki-Birula-Mycielski (BBM) inequality has also been tested for a number of states. Moreover, there exist eigenstates that exhibit squeezing in the momentum information entropy. Finally, we note that position information entropy increases with V₁, but decreases with |V₂|. However, the variation of momentum information entropy is contrary to that of the position information entropy.

关键词: bound states, quantum information entropy, Pö, schl-Teller-like potential

Abstract: Shannon entropy for lower position and momentum eigenstates of Pöschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density ρ(x) moves right when the potential parameter V₁ increases and its amplitude decreases. However, its wave through moves left with the increase in the potential parameter |V₂|. Concerning the momentum information entropy density ρ(p), we observe that its amplitude increases with increasing potential parameter V₁, but its amplitude decreases with increasing |V₂|. The Bialynicki-Birula-Mycielski (BBM) inequality has also been tested for a number of states. Moreover, there exist eigenstates that exhibit squeezing in the momentum information entropy. Finally, we note that position information entropy increases with V₁, but decreases with |V₂|. However, the variation of momentum information entropy is contrary to that of the position information entropy.

Key words: bound states, quantum information entropy, Pöschl-Teller-like potential

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Ge (Solutions of wave equations: bound states) 03.67.-a (Quantum information)

Guo-Hua Sun, M. Avila Aoki, Shi-Hai Dong. Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential[J]. 中国物理B, 2013, 22(5): 50302-050302.

Guo-Hua Sun, M. Avila Aoki, Shi-Hai Dong. Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential[J]. Chin. Phys. B, 2013, 22(5): 50302-050302.

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Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential

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