Quantum information entropies for a squared tangent potential well

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• 作者：Shishan Dong ; Guo-Hua Sun ; Shi-Hai Dong ; J.P. Draayer
• 关键词：Shannon information entropy ; Trigonometric squared tangent well ; Standard deviation
• 刊名：Physics Letters A
• 出版年：10 January, 2014
• 年：2014
• 卷：378
• 期：3
• 页码：124-130
• 全文大小：519 K

文摘

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 , and probability densities , are illustrated with different potential range L and potential depth U. We present analytical position information entropies for the lowest two states. We observe that the sum of position and momentum entropies and 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 increases with the potential range L, while decreases with the potential depth U. The variation of is contrary to that of .