Heisenberg-like and Fisher-information-based uncertainty relations for $N$-electron $d$-dimensional systems

I. V. Toranzo; S. López-Rosa; R. O. Esquivel; J. S. Dehesa

Heisenberg-like and Fisher-information-based uncertainty relations for $N$-electron $d$-dimensional systems

Information Theory 2016-10-07 v1 math.IT Quantum Physics

Authors: I. V. Toranzo , S. López-Rosa , R. O. Esquivel , J. S. Dehesa

Abstract

Heisenberg-like and Fisher-information-based uncertainty relations which extend and generalize previous similar expressions are obtained for $N$ -fermion $d$ -dimensional systems. The contributions of both spatial and spin degrees of freedom are taken into account. The accuracy of some of these generalized spinned uncertainty-like relations is numerically examined for a large number of atomic and molecular systems.

Keywords

uncertainty relations Heisenberg-like relations Fisher information N-electron systems d-dimensional systems spin degrees of freedom atomic and molecular systems

Cite

@article{arxiv.1505.07954,
  title  = {Heisenberg-like and Fisher-information-based uncertainty relations for $N$-electron $d$-dimensional systems},
  author = {I. V. Toranzo and S. López-Rosa and R. O. Esquivel and J. S. Dehesa},
  journal= {arXiv preprint arXiv:1505.07954},
  year   = {2016}
}

Comments

9 pages, 6 figures

Heisenberg-like and Fisher-information-based uncertainty relations for $N$-electron $d$-dimensional systems

Abstract

Keywords

Cite

Comments

Related papers