abstract

• In this work, we present the information theoretic lengths given by Shannon and Fisher for the lowest-lying stationary state of a one-dimensional ionic crystal modeled by 2N %2b 1 equally spaced attractive and repulsive Dirac delta potentials. The entropic uncertainty relations related to position and momentum spaces are studied as a function of the number of ions and the distance between them. Our results show that the stability of the ionic crystal depends on the number of ions and distance between them. In particular, we show that the position Shannon entropy is always positive and increases as the lattice constant between ions grows, in contrast with the momentum Shannon entropy which decreases and becomes negative beyond a particular lattice constant value. © 2019 World Scientific Publishing Company.

authors

• González Contreras Gabriel
• Salgado-Blanco D.

publication date

• 2020-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: TKII-R2018-DSB1  Grant

published in

• Modern Physics Letters A  Journal

keywords

• Dirac delta potential; Fisher information; Shannon entropy

Digital Object Identifier (DOI)

• 10.1142/S0217732320500327

start page

end page

volume

• 35

issue

• 7