$$\frac{1}{\sqrt{2}}\times\frac{\sqrt{2}}{a}$$
$\frac{1}{a}$
$$\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{\sqrt{2}}{a}$$
$$\frac{\sqrt{2}}{2}\times \frac{\sqrt{2}}{a}$$
$$\frac{\sqrt{2}\sqrt{2}}{2a}$$
$$\frac{2}{2a}$$
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$-\frac{1}{a^{2}}$