Entropic measures of an atom confined in modified Hulthen potential
Kirtee Kumar, Vinod Prasad
Abstract
Various information theoretic measures, complexities and their inequalities are studied for hydrogen atom under modified Hulthen potential which is a combination of Hulthen potential and inverse square potential. In addition, spherical confinement is also considered. Few of these results are compared with the results are available in the literature. In particular the Shannon entropy for free and confined atom is detailed for many states. The effects of inverse square potential parameter (‘a’ which is either positive or negative) on Shannon entropy and Fisher information is studied in confined and free region of atom. The Bialynicki-Birula-Mycielski (BBM) inequality is verified for the confined system.
Topics & Concepts
Hydrogen atomInverseMean squareAtom (system on chip)Entropy (arrow of time)Fisher informationStatistical physicsQuantum mechanicsPhysicsSquare (algebra)MathematicsMathematical analysisStatisticsComputer scienceGeometryGroup (periodic table)Embedded systemQuantum Mechanics and Non-Hermitian PhysicsStatistical Mechanics and EntropyQuantum Information and Cryptography