Abstract
Within an isoelectronic series of atoms, reasonably tight upper bounds on the ratios of the momentum expectation values 〈;p 2〉/〈;p −1〉 and 〈p〉/〈p −1〉 respectively have been derived for the first time by using the Dresher's inequality.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Williams BG (1977) Compton scattering. McGraw-Hill, New York
Pathak RK, Gadre SR (1981) J Chem Phys 74:5925
March NH (1983) J Chem Phys 79:3404
Beckenbach EF, Bellman R (1971) Inequalities. Springer, Berlin Heidelberg New York
Gadre SR, Gejji SP, Chakravorty SJ (1983) Atomic data and nuclear data tables 28:477
Clementi E, Roetti C (1974) Atomic data and nuclear data tables 14:197
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Nath, S., Shobha, K. & Sen, K.D. Approximate upper bounds to the momentum expectation value ratios 〈p 2〉/〈p −1〉 and 〈p〉/〈p −1〉 in atoms. Theoret. Chim. Acta 70, 115–117 (1986). https://doi.org/10.1007/BF00532208
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00532208