Pöschl-Teller势本征态和相干态的量子信息熵
Quantum information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential
摘要：
精确地计算了Pöschl-Teller势的基态的位置和动量空间信息熵，发现它们满足Beckner，Bialynicki-Birula和Mycielski得到的上界.这些熵的第一激发态，不同的强度的势阱，然后得到数值。有趣的功能的熵密度，由于其起源的波函数的激发性质，以图形方式展示。然后，我们计算Pöschl-Teller势的相干态的位置空间熵，这是已知的显示复苏和分数复苏。相干态的时间演化揭示了信息熵时空流中许多有趣的模式。
英文摘要：
The position and momentum space information entropies, of the ground state of the Pöschl-Teller potential, are exactly evaluated and are found to satisfy the bound, obtained by Beckner, Bialynicki-Birula and Mycielski. These entropies for the first excited state, for different strengths of the potential well, are then numerically obtained. Interesting features of the entropy densities, owing their origin to the excited nature of the wave functions, are graphically demonstrated. We then compute the position space entropies of the coherent state of the Pöschl-Teller potential, which is known to show revival and fractional revival. Time evolution of the coherent state reveals many interesting patterns in the space-time flow of information entropy.
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