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Spherical harmonics

maxima maxima_spherical-harmonic

Spherical harmonics
|Y00|2
|Y1-1|2,|Y10|2,|Y11|2
Re(Y00)
Re(Y1-1),Re(Y10),Re(Y11)
Im(Y00)
Im(Y1-1),Im(Y10),Im(Y11)
spherical_harmonic
(%i) load(orthopoly)$
(%i) spherical_harmonic(1,0,theta,phi);
(%o) sqrt(3)*cos(theta)/(2*sqrt(%pi))
load(orthopoly)$
spherical_harmonic(2,0, theta, phi);
realpart(%);
plot3d (%,
 [theta, 0, %pi],[phi, 0, 2*%pi],
 [transform_xy, spherical_to_xyz],
 [grid,30,60])$
See Also ...

maxima maxima_spherical-harmonic