Quantum pressure of a condensate
= Quantum pressure of a condensate
{title2=$Q=-\frac{\hbar^2}{2m}\frac{\nabla^2\sqrt\rho}{\sqrt\rho}$}
The density-gradient contribution to the real stationary condensate equation after writing $\psi=\sqrt{\rho}e^{i\phi}$. Neglecting it gives the bulk Thomas–Fermi density relation, but fails near a depleted interface or a vortex core.