Fisher information and uncertainty-like relationships in many-body systems

✍ Scribed by E. Romera; J.C. Angulo; J.S. Dehesa

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 28 KB
• Volume: 121-122
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/s0010-4655(06)70132-1

✦ Synopsis

General model-independent relationships among radial expectation values of the one-particle densities in position and momentum spaces for any quantum-mechanical system are obtained. They are derived from the Stam uncertainty principle and the recently reported lower bounds to the Fisher information entropy of both densities. The results are usually expressed in terms of some uncertainty products of the system. The accuracy of the bounds is numerically analyzed for neutral atoms within a Hartree-Fock framework.