Formula_3184

\[\Psi_{\alpha}(x)=\pi^{-1 / 4} l^{-1 / 2} \exp \left(-\frac{x^{2}}{2 l^{2}}-\frac{|\alpha|^{2}}{2}+\frac{\sqrt{2} \alpha x}{l}-\frac{\alpha^{2}}{2}\right) .\]