松原振動数
n η ( a + b ) − n η ( a − b ) = − s i n h β b c o s h β a − η c o s h β b . {\displaystyle n_{\eta }(a+b)-n_{\eta }(a-b)=-{\frac {\mathrm {sinh} \beta b}{\mathrm {cosh} \beta a-\eta \,\mathrm {cosh} \beta b}}.}
c B ( 0 , b ) = − 1 2 b coth  β b 2 , {\displaystyle c_{B}(0,b)=-{\frac {1}{2b}}\operatorname {coth} {\frac {\beta b}{2}},}
c F ( 0 , b ) = 1 2 b tanh  β b 2 . {\displaystyle c_{F}(0,b)={\frac {1}{2b}}\operatorname {tanh} {\frac {\beta b}{2}}.}