Finding exact and approximate wave functions of Hooke's atom, their information entropy and correlation

摘要

An algebraic procedure is used to find exact and approximate eigenstates of two-charged particles in an oscillator potential. Relationship of this system with the quasi-exactly solvable ones is utilized to develop a perturbation theory, involving the Coulomb coupling. Single particle densities, for arbitrary m and information entropy densities are obtained analytically. (c) 2006 Elsevier B.V. All rights reserved.