Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1866781 | Physics Letters A | 2015 | 7 Pages |
•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.