Correction to the first printing of third edition: In line 3, the definition of the dimensionless wavefunction should read: \(\psi=a_{\text {osc }}^{3 / 2} \Psi / \sqrt{N}\). Using that substitution and \(a_{\mathrm{osc}}=\sqrt{\hbar /\left(m \omega_{0}ight)}\) gives

\[
-\frac{1}{2} \tilde{abla}^{2} \psi+\frac{1}{2} s^{2} \psi+\frac{4 \pi N a}{a_{\mathrm{osc}}}|\psi|^{2} \psi=\tilde{\mu} \psi
\]

where \(\boldsymbol{s}=\boldsymbol{r} / a_{\mathrm{osc}}, \tilde{abla}=\partial / \partial s_{x}+\ldots\) and \(\tilde{\mu}=\mu /\left(\hbar \omega_{0}ight)\).