Skip to main content
SpringerLink
Log in

Atomic level splitting by external fields

Расщепление атомных уровней во внешних полях

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

We present in this paper an explanation, based on the properties of the Racah operators and the Wigner coefficients, of a set of rules which have been recently proposed for the solution of the quantitative problem of the splitting of a degenerate level.

Riassunto

In questo lavoro si fornisce una spiegazione di un insieme di regole recentemente proposte per risolvere il problema della separazione dei livelli degeneri basata sulle proprietà degli operatori di Racah e dei coefficienti di Wigner.

Резюме

В этой работе мы предлагаем объяснение, основанное на свойствах операторов Рака и коэффициентов Вигнера, для системы правил, которые были недавно предложены для решения количественной проблемы расщепления вырожденного уровня.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. See for example the splitting of anL=3 level under a crystal field of octohedral symmetry. This problem is worked out in detail using perturbation theory inT. Kahan:Théorie des groupes en physique classique et quantique, Tome III (Paris, 1972), p. 237.

    Google Scholar 

  2. L. C. Biedenharn andA. Gamba:Rev. Brasil. Fis.,2, 319 (1972).

    Google Scholar 

  3. M. Rotenberg, R. Bivins, N. Metropolis andJ. K. Wooten:The 3-j and 6-j symbols (Cambridge, Mass., 1959), p. 5.

  4. See for example ref. (3)M. Rotenberg, R. Bivins, N. Metropolis andJ. K. Wooten:The 3-j and 6-j symbols (Cambridge, Mass., 1959), p. 5. for a summary of the properties of 3-j symbols.

  5. The arbitrariness in normalization for the coefficientsa kq does not mean, of course, that the physical potentialV can be manipulated at will. For suppose that we would multiply all thea kq (k fixed) by a common factor β, then we would have to choose α ′ k =α k /β in eq. (1) in order to leaveV invariant.

  6. In this connection see a very interesting paper byA. J. Van Zanten andE. de Vries:Tensor operators of finite groups, preprint (1973), where a complete reference list on the subject is reported.

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica dell’Università, Genova

    L. Basano & R. Cenni

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Genova, Genova, Italy

    L. Basano & R. Cenni

Authors
  1. L. Basano
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Cenni
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Перевебено ребакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Basano, L., Cenni, R. Atomic level splitting by external fields. Nuov Cim B 22, 261–272 (1974). https://doi.org/10.1007/BF02726592

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02726592

Search

Navigation