TY - JOUR
T1 - Quantum Information Entropies on Hyperbolic Single Potential Wells
AU - Gil-Barrera, Carlos Ariel
AU - Carrillo, Raymundo Santana
AU - Sun, Guo Hua
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/5
Y1 - 2022/5
N2 - In this work, we study the quantum information entropies for two different types of hyperbolic single potential wells. We first study the behaviors of the moving particle subject to two different hyperbolic potential wells through focusing on their wave functions. The shapes of these hyperbolic potentials are similar, but we notice that their momentum entropy densities change along with the width of each potential and the magnitude of position entropy density decreases when the momentum entropy magnitude increases. On the other hand, we illustrate the behaviors of their position and momentum entropy densities. Finally, we show the variation of position and momentum entropies Sx and Sp with the change of the potential well depth u and verify that their sum still satisfies the BBM inequality relation.
AB - In this work, we study the quantum information entropies for two different types of hyperbolic single potential wells. We first study the behaviors of the moving particle subject to two different hyperbolic potential wells through focusing on their wave functions. The shapes of these hyperbolic potentials are similar, but we notice that their momentum entropy densities change along with the width of each potential and the magnitude of position entropy density decreases when the momentum entropy magnitude increases. On the other hand, we illustrate the behaviors of their position and momentum entropy densities. Finally, we show the variation of position and momentum entropies Sx and Sp with the change of the potential well depth u and verify that their sum still satisfies the BBM inequality relation.
KW - hyperbolic potential well
KW - position and momentum Shannon entropies
KW - quantum information entropy
UR - http://www.scopus.com/inward/record.url?scp=85129755281&partnerID=8YFLogxK
U2 - 10.3390/e24050604
DO - 10.3390/e24050604
M3 - Artículo
C2 - 35626489
AN - SCOPUS:85129755281
SN - 1099-4300
VL - 24
JO - Entropy
JF - Entropy
IS - 5
M1 - 604
ER -