TY - JOUR
T1 - Shannon information entropies for rectangular multiple quantum well systems with constant total lengths
AU - Solaimani, M.
AU - Sun, Guo Hua
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2018 Chinese Physical Society and IOP Publishing Ltd.
PY - 2018/4
Y1 - 2018/4
N2 - We first study the Shannon information entropies of constant total length multiple quantum well systems and then explore the effects of the number of wells and confining potential depth on position and momentum information entropy density as well as the corresponding Shannon entropy. We find that for small full width at half maximum (FWHM) of the position entropy density, the FWHM of the momentum entropy density is large and vice versa. By increasing the confined potential depth, the FWHM of the position entropy density decreases while the FWHM of the momentum entropy density increases. By increasing the potential depth, the frequency of the position entropy density oscillation within the quantum barrier decreases while that of the position entropy density oscillation within the quantum well increases. By increasing the number of wells, the frequency of the position entropy density oscillation decreases inside the barriers while it increases inside the quantum well. As an example, we might localize the ground state as well as the position entropy densities of the 1st, 2nd, and 6th excited states for a four-well quantum system. Also, we verify the BialynickiBirulaMycieslki (BBM) inequality.
AB - We first study the Shannon information entropies of constant total length multiple quantum well systems and then explore the effects of the number of wells and confining potential depth on position and momentum information entropy density as well as the corresponding Shannon entropy. We find that for small full width at half maximum (FWHM) of the position entropy density, the FWHM of the momentum entropy density is large and vice versa. By increasing the confined potential depth, the FWHM of the position entropy density decreases while the FWHM of the momentum entropy density increases. By increasing the potential depth, the frequency of the position entropy density oscillation within the quantum barrier decreases while that of the position entropy density oscillation within the quantum well increases. By increasing the number of wells, the frequency of the position entropy density oscillation decreases inside the barriers while it increases inside the quantum well. As an example, we might localize the ground state as well as the position entropy densities of the 1st, 2nd, and 6th excited states for a four-well quantum system. Also, we verify the BialynickiBirulaMycieslki (BBM) inequality.
KW - entropy densities
KW - multiple quantum well
KW - position and momentum Shannon entropies
UR - http://www.scopus.com/inward/record.url?scp=85046638759&partnerID=8YFLogxK
U2 - 10.1088/1674-1056/27/4/040301
DO - 10.1088/1674-1056/27/4/040301
M3 - Artículo
SN - 1674-1056
VL - 27
JO - Chinese Physics B
JF - Chinese Physics B
IS - 4
M1 - 040301
ER -