TY - JOUR
T1 - Shannon information entropy for an infinite circular well
AU - Song, Xu Dong
AU - Sun, Guo Hua
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
PY - 2015/7/17
Y1 - 2015/7/17
N2 - 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.
AB - 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.
KW - BBM inequality
KW - Infinitely deep circular well
KW - Shannon information entropy
UR - http://www.scopus.com/inward/record.url?scp=84939936955&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2015.03.020
DO - 10.1016/j.physleta.2015.03.020
M3 - Artículo
SN - 0375-9601
VL - 379
SP - 1402
EP - 1408
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 22-23
ER -