TY - JOUR

T1 - Quantum information entropies for a squared tangent potential well

AU - Dong, Shishan

AU - Sun, Guo Hua

AU - Dong, Shi Hai

AU - Draayer, J. P.

PY - 2014/1/10

Y1 - 2014/1/10

N2 - The particle in a symmetrical squared tangent potential well is studied by examining its Shannon information entropy and standard deviations. The position and momentum information entropy densities ρs(x), ρs(p) and probability densities ρ(x), ρ(p) are illustrated with different potential range L and potential depth U. We present analytical position information entropies Sx for the lowest two states. We observe that the sum of position and momentum entropies Sx and Sp expressed by Bialynicki-Birula-Mycielski (BBM) inequality is satisfied. Some eigenstates exhibit entropy squeezing in the position. The entropy squeezing in position will be compensated by an increase in momentum entropy. We also note that the Sx increases with the potential range L, while decreases with the potential depth U. The variation of Sp is contrary to that of Sx. © 2013 Elsevier B.V. All rights reserved.

AB - The particle in a symmetrical squared tangent potential well is studied by examining its Shannon information entropy and standard deviations. The position and momentum information entropy densities ρs(x), ρs(p) and probability densities ρ(x), ρ(p) are illustrated with different potential range L and potential depth U. We present analytical position information entropies Sx for the lowest two states. We observe that the sum of position and momentum entropies Sx and Sp expressed by Bialynicki-Birula-Mycielski (BBM) inequality is satisfied. Some eigenstates exhibit entropy squeezing in the position. The entropy squeezing in position will be compensated by an increase in momentum entropy. We also note that the Sx increases with the potential range L, while decreases with the potential depth U. The variation of Sp is contrary to that of Sx. © 2013 Elsevier B.V. All rights reserved.

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U2 - 10.1016/j.physleta.2013.11.020

DO - 10.1016/j.physleta.2013.11.020

M3 - Article

SP - 124

EP - 130

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

ER -