TY - JOUR
T1 - Quantum information entropies of the eigenstates for the Pöschl - Teller-like potential
AU - Sun, Guo Hua
AU - Aoki, M. Avila
AU - Dong, Shi Hai
PY - 2013/5
Y1 - 2013/5
N2 - 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.
AB - 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.
KW - Pöschl - Teller-like potential
KW - bound states
KW - quantum information entropy
UR - http://www.scopus.com/inward/record.url?scp=84877958762&partnerID=8YFLogxK
U2 - 10.1088/1674-1056/22/5/050302
DO - 10.1088/1674-1056/22/5/050302
M3 - Artículo
SN - 1674-1056
VL - 22
JO - Chinese Physics B
JF - Chinese Physics B
IS - 5
M1 - 050302
ER -