Quantum Mechanics Demystified 2nd Edition David Mcmahon <2025>

We also define ( \hatL^2 = \hatL_x^2 + \hatL_y^2 + \hatL_z^2 ), which commutes with each component:

In position space, the eigenfunctions are the spherical harmonics ( Y_l^m(\theta,\phi) ). Quantum Mechanics Demystified 2nd Edition David McMahon

These operators satisfy the fundamental commutation relations: We also define ( \hatL^2 = \hatL_x^2 +

[ [\hatL_x, \hatL_y] = i\hbar \hatL_z, \quad [\hatL_y, \hatL_z] = i\hbar \hatL_x, \quad [\hatL_z, \hatL_x] = i\hbar \hatL_y. ] \hatL_y] = i\hbar \hatL_z