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→Spherical harmonics: Attempt at better maths.
== Spherical harmonics ==
The time dependent spherical harmonic can be written as Y_ml(theta(t), phi(t)), where theta(t) and phi(t) are the time dependent spherical angles inthe dimensionless radian units. The time t is normal time and hencehas no hidden radian units. Spherical harmonics are the angularportion of the solution to Laplace's equation, and I would assume thatbecause it is angular, it is using the radian angular SI unit.:
<math>
\Psi_{ml}(\theta(t), \phi(t)),
</math>
where <math alt="theta(t)">\theta(t)</math> and <math alt="phi(t)">\phi(t)</math> are the time dependent spherical angles in the dimensionless radian units. The time t is normal time and hence has no hidden radian units. Spherical harmonics are the angular portion of the solution to Laplace's equation, and I would assume that because it is angular, it is using the radian angular SI unit.
== Rotational correlation times ==