$\left\{\begin{matrix}S=\frac{i\left(\sqrt{\left(ec^{2}-4in^{2}\right)\left(c\theta \right)^{2}}-\sqrt{e}\theta c^{2}\right)}{2\sqrt{e}\left(cn\theta \right)^{2}}\text{; }S=-\frac{i\left(\sqrt{\left(ec^{2}-4in^{2}\right)\left(c\theta \right)^{2}}+\sqrt{e}\theta c^{2}\right)}{2\sqrt{e}\left(cn\theta \right)^{2}}\text{, }&\theta \neq 0\text{ and }n\neq 0\text{ and }c\neq 0\\S=\frac{1}{e\theta c^{2}}\text{, }&n=0\text{ and }\theta \neq 0\text{ and }c\neq 0\end{matrix}\right.$

$c=-\left(e\left(1-iS\theta n^{2}\right)\right)^{-\frac{1}{2}}S^{-\frac{1}{2}}\theta ^{-\frac{1}{2}}$
$c=\left(e\left(1-iS\theta n^{2}\right)\right)^{-\frac{1}{2}}S^{-\frac{1}{2}}\theta ^{-\frac{1}{2}}\text{, }S\neq 0\text{ and }\theta \neq 0\text{ and }\left(n=0\text{ or }S\neq \frac{-i}{\theta n^{2}}\right)\text{ and }\left(n=0\text{ or }\theta \neq \frac{-i}{Sn^{2}}\right)$