Pauli effects in uncertainty relations
  In this letter we analyze the effect of the spin dimensionality of a physical system in two mathematical formulations of the uncertainty principle: a generalized Heisenberg uncertainty relation valid for all antisymmetric N-fermion wavefunctions, and the Fisher-information- based uncertainty relation valid for all antisymmetric N-fermion wavefunctions of central potentials. The accuracy of these spin-modified uncertainty relations is examined for all atoms from Hydrogen to Lawrencium in a self-consistent framework. 
I.V. Toranzo and P. S\'anchez-Morenob and R.O. Esquivel and J.S.   Dehesa
quant-ph physics.atom-ph