2023年8月18日 · The spherical harmonies: The wave functions: Assuming that the square of the magnitude of a spherical harmonic function is related to the zenith angle θ, then under normal …

$\begingroup$..check the spherical harmonics wiki page: there are specific harmonics at the bottom of the page for low orders to help you out. $\endgroup$ – Selene Routley Commented …

2020年12月4日 · spherical harmonics are eigenfunctions of the angular momentum. and. spherical harmonics form a basis for the functions over the sphere. As I said above, you …

2024年8月10日 · If the spherical harmonics are tensor operators, then how is it true that in quantum mechanics, they can be both an eigen basis for wave functions and also an …

2021年9月14日 · I seem to be having trouble understanding how Wigner D-matrices rotate spherical harmonics. I asked this question on the Maths Stack Exchange but decided to cast …

2016年6月25日 · In 3D, this is the only reason for eigenvalues that do not appear on the spherical harmonics. In general, the spherical harmonics only correspond to the $\mathrm{SO}(n)$ …

Spherical harmonics can represent the square-integrable functions, i.e. the functions which, when squared and integrated over the surface of the sphere, produce a finite result. There's two …

2020年12月13日 · For $\delta^{(2)}(\Omega-\Omega')$ to behave like a delta function, we should get $1$ when we integrate it over the surface of the unit sphere.

2018年2月27日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

2020年12月16日 · Electric dipole field and spherical harmonics. 2. Interpreting spherical harmonics angular momentum ...