Journal of Mathematical Physics
Feedback | Help | Exit
   
 
 
 
Previous Article
Relativistic superfluid in a rigid solid. Exact solutions
Exact solutions of Einstein's equations are obtained for a superfluid flowing in a rigid solid.
Next Article
Separability of the Dirac equation in a class of perfect fluid space-times with local rotational symmetry
Chandrasekhar's technique for separation of the Dirac equation in the Kerr background is applied to perfect fluid space-times with local rotational symmetry. These space-times fall into three distinct...

The relationship between monopole harmonics and spin-weighted spherical harmonics

J. Math. Phys. 26, 1030 (1985); doi:10.1063/1.526533

Issue Date: May 1985

You are not logged in to this journal. Log in

Tevian Dray
Instituut voor Theoretische Fysica, Princetonplein 5, Postbus 80.006, 3508 TA Utrecht, The Netherlandsa) and School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
We compare two independent generalizations of the usual spherical harmonics, namely monopole harmonics and spin-weighted spherical harmonics, and make precise the sense in which they can be considered to be the same. By analogy with the spin-gauge language, raising and lowering operators for the monopole index of the monopole harmonics can immediately be written down. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
History: Received 1 October 1984; accepted 28 December 1984
Permalink: http://link.aip.org/link/?JMAPAQ/26/1030/1
BUY THIS ARTICLE   (US$28)
Download PDF (307 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 04.30.+x
    Relativity and gravitation Gravitational waves and radiation: theory
  • 02.30.Px
    Mathematical methods in physics Function theory, analysis Abstract harmonic analysis
  • 14.80.Hv
    Properties of specific particles and resonances Other and hypothetical particles Magnetic monopoles
  • YEAR: 1985

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (15)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. T. T. Wu and C. N. Yang, Nucl. Phys. B 107, 365 (1976).
  2. In both cases the original ideas can be traced to earlier work. This is discussed in Sees. II and III below.
  3. E. T. Newman and R. Penrose, J. Math. Phys. 7, 863 (1966).
  4. P. A. M. Dirac, Proc. R. Soc. London Ser. A 133, 60 (1931).
  5. Ig. Tamm, Z. Phys. 71, 141 (1931).
  6. M. Fierz, Helv. Phys. Acta 17, 27 (1944).
  7. P. P. Banderet, Helv. Phys. Acta 19, 503 (1946);
    8. Harish-Chandra, Phys. Rev. 74, 883 (1948);
    A. S. Goldhaber, Phys. Rev. 140, B1407 (1965).
  8. We have set [h-bar] = c = 1; e is the electron charge and g the strength of the monopole.
  9. A. I. Janis and E. T. Newman, J. Math. Phys. 6, 902 (1965).
  10. These differ by a factor of (−1) from the operators denned in Ref. 3.
  11. These sYlm differ from those in Ref. 3 by a factor (−1)s. The reason for this choice will become clear in Sec. IV.
  12. These operators reduce to the standard ones for s = 0. Note that strictly speaking “s” must be interpreted as an operator.
  13. L. D. Landau and E. M. Lifschitz, Quantum Mechanics (Pergamon, New York, 1977), 3rd ed., p. 417;
    14. see also F. Reich and H. Rademacher, Z. Phys. 39, 444 (1926).
  14. This idea is implicit in Ref. 3.
  15. J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudershan, J. Math. Phys. 8, 2155 (1967).

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics