TY - JOUR
T1 - Quantum information entropies of multiple quantum well systems in fractional Schrödinger equations
AU - Solaimani, M.
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2019 Wiley Periodicals, Inc.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - In this work, we study the position and momentum information entropies of multiple quantum well systems in fractional Schrödinger equations, which, to the best of our knowledge, have not so far been studied. Through a confining potential, their shape and number of wells (NOW) can be controlled by using a few tuning parameters; we present some interesting quantum effects that only appear in the fractional Schrödinger equation systems. One of the parameters denoted by the Ld can affect the position and momentum probability densities if the system is fractional (1 < α < 2). We find that the position (momentum) probability density tends to be more severely localized (delocalized) in more fractional systems (ie, in smaller values of α). Affecting the Ld on the position and momentum probability densities is a quantum effect that only appears in the fractional Schrödinger equations. Finally, we show that the Beckner Bialynicki-Birula-Mycieslki (BBM) inequality in the fractional Schrödinger equation is still satisfied by changing the confining potential amplitude Vconf, the NOW, the fractional parameter α, and the confining potential parameter Ld.
AB - In this work, we study the position and momentum information entropies of multiple quantum well systems in fractional Schrödinger equations, which, to the best of our knowledge, have not so far been studied. Through a confining potential, their shape and number of wells (NOW) can be controlled by using a few tuning parameters; we present some interesting quantum effects that only appear in the fractional Schrödinger equation systems. One of the parameters denoted by the Ld can affect the position and momentum probability densities if the system is fractional (1 < α < 2). We find that the position (momentum) probability density tends to be more severely localized (delocalized) in more fractional systems (ie, in smaller values of α). Affecting the Ld on the position and momentum probability densities is a quantum effect that only appears in the fractional Schrödinger equations. Finally, we show that the Beckner Bialynicki-Birula-Mycieslki (BBM) inequality in the fractional Schrödinger equation is still satisfied by changing the confining potential amplitude Vconf, the NOW, the fractional parameter α, and the confining potential parameter Ld.
KW - Shannon information entropies
KW - fractional Schrödinger equation
KW - multiple quantum well systems
UR - http://www.scopus.com/inward/record.url?scp=85075157094&partnerID=8YFLogxK
U2 - 10.1002/qua.26113
DO - 10.1002/qua.26113
M3 - Artículo
SN - 0020-7608
VL - 120
JO - International Journal of Quantum Chemistry
JF - International Journal of Quantum Chemistry
IS - 5
M1 - e26113
ER -