Information entropies for eigendensities of homogeneous potentials.
For homogeneous potentials, the sum S(T), of position and momentum Shannon information entropies Sr and Sp is shown to be independent of the coupling strength scaling. The other commonly used uncertainty like products also follow similar behavior. The ramifications of this scaling property in the cases of hydrogenlike, harmonic oscillator, Morse, and Poeschl-Teller potentials are discussed with the example of S(T).
Sen
K D
KD
School of Chemistry, University of Hyderabad, Hyderabad 500 046, India. sensc@uohyd.ernet.in
Katriel
Jacob
J