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

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

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.

Keywords: bound states quantum information entropy Pöschl-Teller-like potential

Received: 22 September 2012
Revised: 31 October 2012
Accepted manuscript online:

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

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

Corresponding Authors: Guo-Hua Sun
E-mail: sunghdb@yahoo.com

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Guo-Hua Sun, M. Avila Aoki, Shi-Hai Dong Quantum information entropies of the eigenstates for the Pöschl-Teller-like potential 2013 Chin. Phys. B 22 050302

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

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