<TeXmacs|1.0.7.9>

<style|generic>

<\body>
  <\eqnarray*>
    <tformat|<table|<row|<cell|<around*|\<langle\>|J<rsub|z>|\<rangle\>><rsub|k+1>>|<cell|=>|<cell|<frac|1|2j+1><big-around|\<sum\>|<rsup|j><rsub|m=-j>m
    <bra|m><around*|(|<big|sum><rsub|m<rprime|'>>s<rsub|k,m<rprime|'>><around*|(|<around*|[|2a<rsub|k+1>b<rsub|k+1>+<around|(|2j+1|)>a<rsub|k+1><rsup|2>|]><ketbra|m<rprime|'>|m<rprime|'>>|\<nobracket\>>|\<nobracket\>>>>>|<row|<cell|>|<cell|>|<cell|<around*|\<nobracket\>|<around*|\<nobracket\>|+b<rsub|k+1><rsup|2><wide*|\<chi\><around|(|<ketbra|m<rprime|'>|m<rprime|'>>|)>|\<wide-underbrace\>><rsub|<big-around|\<sum\>|<rsub|m<rprime|''>>c<rsub|j,m<rprime|'>,m<rprime|''>><ketbra|m<rprime|''>|m<rprime|''>>>>|)>|)><ket|m>>>>>
  </eqnarray*>
</body>

<\references>
  <\collection>
    <associate|eq:SpinExpValueEvolution-weak|<tuple|1|?>>
  </collection>
</references>