Recent content by mrbetadine

  1. M

    Minimizing angular momentum uncertainties

    \begin{align*} &(\Delta L_x)^2+(\Delta L_y)^2+(\Delta L_z)^2\\ ={}&\langle L_x^2\rangle-\langle L_x \rangle^2+\langle L_y^2\rangle-\langle L_y \rangle^2+\langle L_z^2\rangle-\langle L_z \rangle^2\\ ={}&\langle L_x^2+L_y^2+L_z^2 \rangle-(\langle L_x \rangle^2+\langle L_y \rangle^2+\langle L_z...