\[\Psi_{2}\left(0,y\right)=\frac{\pi}{2}\sqrt{\frac{|y|}{2}}\exp\left(-i\frac{y^%
{2}}{8}\right)\left(\exp\left(i\frac{\pi}{8}\right)J_{-\ifrac{1}{4}}\left(%
\frac{y^{2}}{8}\right)-\operatorname{sign}\left(y\right)\exp\left(-i\frac{\pi}%
{8}\right)J_{\ifrac{1}{4}}\left(\frac{y^{2}}{8}\right)\right).\]