Kinetic-energy density functional for a special shape-invariant potential of a one-dimensional two-level system

Authors

Jiushu Shao, Institut für Organische Chemie, Biochemie und Isotopenforschung, Universität Stuttgart
John J. Stezowski, University of Nebraska - LincolnFollow

Date of this Version

November 1990

Comments

Published in Physical Review A 42:9 (November 1990), pp. 5767 - 5768. Copyright © 1990 The American Physical Society. Used by permission. DOI: 10.1103/PhysRevA.42.5767 URL: http://link.aps.org/abstract/PRA/v42/p5767

Abstract

By introducing the concept of supersymmetry to quantum mechanics, several authors have shown that exactly soluble potentials, including all those well known, are easily constructed. Is the kinetic-energy density functional corresponding to these potentials a simple form? We show that the answer is no, even to the simplest one, the harmonic potential, if one builds the kinetic-energy density functional from the reduced density matrix.