Quantization of spin and angular momentum

Spin and quantization of angular momentum (L, L_z) into discrete levels.

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% Author: Izaak Neutelings (March 2020)
% http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qangm.html
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath} % for \dfrac
\usepackage{mathabx} % for \Earth
\usepackage{bm} % \bm
\usepackage{physics}
\usepackage{tikz,pgfplots}
\usepackage[outline]{contour} % glow around text
\usetikzlibrary{angles,quotes} % for pic (angle labels)
\usetikzlibrary{calc}
\usetikzlibrary{decorations.markings}
\tikzset{>=latex} % for LaTeX arrow head
\contourlength{2.0pt}
\usepackage{xcolor}
\colorlet{Scol}{green!60!black}
\colorlet{veccol}{green!45!black}
\colorlet{myblue}{blue!60!black}
\colorlet{Bcol}{violet!90}
\tikzstyle{BField}=[->,thick,Bcol]
\tikzstyle{spin}=[->,very thick,Scol]
\tikzstyle{velocity}=[->,thick,vcol]
\tikzstyle{charge+}=[very thin,draw=black,top color=red!50,bottom color=red!90!black,shading angle=20,circle,inner sep=0.2]
\tikzstyle{charge-}=[very thin,draw=black,top color=blue!50,bottom color=blue!80,shading angle=20,circle,inner sep=0.2]
\tikzstyle{vector}=[->,thick,veccol]
\tikzset{
  BFieldLine/.style={thick,Bcol,decoration={markings,mark=at position #1 with {\arrow{latex}}},
                                 postaction={decorate}},
  BFieldLine/.default=0.5,
}
\begin{document}
% QUANTUM ANGULAR MOMENTUM
\begin{tikzpicture} %[z={(0,1)},y={(1,0)},x={(-0.5,0,-0.5)}]
  \def\zmax{2.5}
  \def\l{2}
  \def\h{0.8} %1.6/\l
  \def\R{(sqrt(\l*(\l+1))*\h)} % total angular momentum
 
 
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