Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-26T11:20:37.639Z Has data issue: false hasContentIssue false
  • English
  • Français

Still another way to calculate representations of the three-dimensional pure rotation group

Published online by Cambridge University Press:  24 October 2008

R. H. Albert
R. H. Albert
Affiliation:
Research Department, Mobil Oil Corporation, Princeton, New Jersey, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

An explicit formula is derived for exp (iβJz) as a finite sum of irreducible tensor components. With this formula, a technique is developed to obtain the matrix elements of exp (iβJy).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 273 - 275
Copyright
Copyright © Cambridge Philosophical Society 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Lehrer-Ilamed, Y.On the direct calculations of the representations of the three-dimensional pure rotation group. Proc. Cambridge Philos. Soc. 60 (1964), 61.Google Scholar
(2)Van Wageningen, R.Explicit polynomial expressions for finite rotation operators. Nuclear Phys. 60 (1964), 250.Google Scholar
(3)Weber, T. A. and Williams, S. A.Spin-matrix polynomials and the rotation operator for arbitrary spin. J. Mathematical Phys. 6 (1965), 1980.CrossRefGoogle Scholar
(4)Rose, M. E.Elementary Theory of Angular Momentum (John Wiley and Sons, New York, 1957).Google Scholar
(5)Judd, B. R.Operator Techniques in Atomic Spectroscopy (McGraw-Hill, New York, 1963).Google Scholar
(6)Albert, R. H. Operator Techniques and the Study of Spectral Line Broadening (Ph.D. Thesis, Harvard Chemistry Department), 1965.Google Scholar
(7)Rotenberg, M. et al. The 3-j and 6-j Symbols (Technology Press, Cambridge, Mass. 1957).Google Scholar