Collective-coordinate quantization (source code)

= Collective-coordinate quantization
{title2=$\widehat H=-\hbar^2\Delta_g/2+V$}

Quantizing a <moduli-space approximation> gives wavefunctions with measure $\sqrt{\det g}\,d^dq$ and, under the minimal scalar ordering, the <Hamiltonian operator> $-\hbar^2\Delta_g/2+V$, where $\Delta_g$ is the <Laplace-Beltrami operator>. Global identifications, statistics and regularity supply additional restrictions on wavefunctions. Curvature-dependent ordering terms or quantum corrections are extra choices, not determined by the classical kinetic energy alone.