Abstract
Bruch, in early work, treated a spatially free Moshinsky atom with four parallel-spin electrons interacting harmonically. Here we add a harmonic external potential, having an unrelated spring constant \(k\), and use the variational method, with a one-parameter trial wave function, to examine the quintet ground state energy and electron density, particularly in the weak confinement limit \(k\rightarrow 0\). The results are compared with Bruch’s and modest contact is made with the early work of Post.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Moshinsky, Am. J. Phys. 36, 52, (1968); (see also H.R. Post, Proc. Phys. Soc. A66, 649 (1953))
A. Holas, I.A. Howard, N.H. March, Phys. Lett. A310, 451 (2003)
C. Amovilli, N.H. March, Phys. Rev. A83, 044502 (2011)
L.W. Bruch, J. Chem. Phys. 72, 5511 (1980)
Acknowledgments
The work of MLG has been partially supported by the Spanish Ministerio de Educación y Ciencia (Project MTM 2005-09183) and he wishes to thank the University of Valladolid for continuing hospitality. NHM wishes to acknowledge that his contribution to this study was brought to fruition during a visit to the University of Valladolid and thanks Profs. J. A. Alonso and M.J. López for their generous hospitality. He also acknowledges support from Profs D. Lamoen and C. Van Alsenoy that makes possible continued affiliation with the University of Antwerp.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Glasser, M.L., March, N.H. & Nieto, L.M. Weak harmonic confinement of the quintet solution of a Moshinsky atom with 4 electrons. J Math Chem 51, 1515–1520 (2013). https://doi.org/10.1007/s10910-013-0151-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-013-0151-x