Article ID Journal Published Year Pages File Type
1866781 Physics Letters A 2015 7 Pages PDF
Abstract

•We study the Shannon information entropies for the infinite circular well.•The Fourier transform of Bessel functions is obtained analytically for any m.•The position entropy SrSr increases with the radius R for a given m.•The Bialynicki-Birula–Mycielski (BBM) inequality is tested.

We study the position SrSr and momentum SpSp Shannon entropies of the infinite circular well and find that the SrSr increases with the radius R for a given m, but first increases and then decreases with the m for a given R  . The variation SpSp 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 SrSr on radius R is almost independent of n. Finally, BBM inequality is tested and hold for this system.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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