Spherical harmonics: Difference between revisions

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:<math>Y_1^1 (\theta,\phi) = -\frac{1}{2} \sqrt{\frac{3}{2\pi}} \sin \theta e^{i\phi} </math>
:<math>Y_1^1 (\theta,\phi) = -\frac{1}{2} \sqrt{\frac{3}{2\pi}} \sin \theta e^{i\phi} </math>
==See also==
==See also==
*[[Wigner D-matrix]]
==References==
*M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix III
*M. E. Rose "Elementary theory of angular momentum", John Wiley & Sons (1967) Appendix III
*[http://mathworld.wolfram.com/SphericalHarmonic.html Spherical Harmonic -- from Wolfram MathWorld]
*[http://mathworld.wolfram.com/SphericalHarmonic.html Spherical Harmonic -- from Wolfram MathWorld]
*[http://dx.doi.org/10.1007/BF01597437 I. Nezbeda, J. Kolafa and S. Labík "The spherical harmonic expansion coefficients and multidimensional integrals in theories of liquids", Czechoslovak Journal of Physics '''39''' pp.  65-79 (1989)]
*[http://dx.doi.org/10.1007/BF01597437 I. Nezbeda, J. Kolafa and S. Labík "The spherical harmonic expansion coefficients and multidimensional integrals in theories of liquids", Czechoslovak Journal of Physics '''39''' pp.  65-79 (1989)]
[[category: mathematics]]
[[category: mathematics]]

Revision as of 11:22, 20 June 2008

The spherical harmonics are the angular portion of the solution to Laplace's equation in spherical coordinates. The first few spherical harmonics are given by:

See also

References