Improvement of the Heisenberg and Fisher-information-based uncertainty relations for<b><i>D</i></b>-dimensional central potentials

Abstract

The Heisenberg and Fisher-information-based uncertainty relations are improved for stationary states of single-particle systems in a D-dimensional central potential. The improvement increases with the squared orbital hyperangular quantum number. The new uncertainty relations saturate for the isotropic harmonic oscillator wavefunction.