Abstract
We study the position Sr and momentum Sp Shannon entropies of the infinite circular well and find that the Sr increases with the radius R for a given m, but first increases and then decreases with the m for a given R. The variation Sp on radius R is from the first increment to the final decrement, but its general tendency first decreases with m and then increases with it. We also note that the variation of Sr on radius R is almost independent of n. Finally, BBM inequality is tested and hold for this system.
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