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

作　　者：Guo-Hua Sun M. Avila Aoki Shi-Hai Dong 

机构地区：[1]Centro Universitario Valle de Chalco,Universidad Autónoma del Estado de México [2]Departamento de Física,Escuela Superior de Física y Matemátics,Instituto Politécnico Nacional

出　　处：《Chinese Physics B》2013年第5期113-117,共5页中国物理B（英文版）

基　　金：Project supported by COFAA-IPN (Grant No. 20120876-SIP-IN)

摘　　要：Shannon entropy for lower position and momentum eigenstates of Ptschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density p （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 丨V2丨. Concerning the momentum information entropy density p（p）, we observe that its amplitude increases with increasing potential parameter V1, but its amplitude decreases with increasing丨V2丨. 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 丨V2丨, However, the variation of momentum information entropy is contrary to that of the position information entropy.Shannon entropy for lower position and momentum eigenstates of Ptschl-Teller-like potential is evaluated. Based on the entropy densities demonstrated graphically, we note that the wave through of the position information entropy density p （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 丨V2丨. Concerning the momentum information entropy density p（p）, we observe that its amplitude increases with increasing potential parameter V1, but its amplitude decreases with increasing丨V2丨. 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 丨V2丨, However, the variation of momentum information entropy is contrary to that of the position information entropy.

关 键 词：bound states quantum information entropy Poschl-Teller-like potential 

分 类 号：O236[理学—运筹学与控制论] O413.1[理学—数学]