1993/11/21 by J. C. Angulo, J C Angulo
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Chemical Thermodynamics and Molecular Structure #Statistical Mechanics and Entropy
paper · doi:10.1088/0305-4470/26/22/042
openalex publication_date 1993/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Rigorous relationships among radial and logarithmic expectation values of an N-body system are obtained by means of information-theoretic methods. Especially interesting are the uncertainty expressions in terms of the product ((r alpha ) 1 alpha /(p beta ) 1 beta /, which generalize the well known relation (r 2 ))(p 2 )>or=9N 2 /4. Additionally, an inequality involving the uncertainty in the logarithmic radius and the logarithmic momentum is shown. For illustration, the accuracy of the inequalities found is numerically analysed in a Hartree-Fock framework for atomic systems. Finally, it is pointed out how these inequalities are improved in atoms by taking into account other physical quantities or by considering some semiempirical results on atomic information entropies.