OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 1, Iss. 2 — Apr. 1, 1984
  • pp: 261–265

Complete set of orthogonal scalar operators for the configuration ƒ3

B. R. Judd and M. A. Suskin  »View Author Affiliations


JOSA B, Vol. 1, Issue 2, pp. 261-265 (1984)
http://dx.doi.org/10.1364/JOSAB.1.000261


View Full Text Article

Acrobat PDF (568 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

When Coulomb interactions between ƒ3 and other electronic configurations are taken to third and higher orders of perturbation theory, it becomes necessary to augment the standard set of thirteen electrostatic parameters with eight more. The operators associated with these eight parameters are orthogonalized to the standard set of operators, and a complete set of the matrix elements of all 21 orthogonalized operators is given for ƒ3. The group-theoretical properties of these operators are examined. Each operator corresponds to a unique pair of irreducible representations of R7 (the rotation group in the seven-dimensional orbital space of an ƒ electron) and of G2 (Cartan’s first exceptional group), but the associated quasispin ranks and irreducible representations of Sp14 (the symplectic group in the 14-dimensional spin-orbital space of an ƒ electron) are sometimes mixed. The combinations of quasispin ranks are odd for the three-electron operators t and even for the two-electron operators e.

© 1984 Optical Society of America

Citation
B. R. Judd and M. A. Suskin, "Complete set of orthogonal scalar operators for the configuration ƒ3," J. Opt. Soc. Am. B 1, 261-265 (1984)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-1-2-261

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited