  We investigate the equal-time (static) quark propagator in Coulomb gauge
within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave
functional which includes the coupling of the quarks to the spatial gluons. The
expectation value of the QCD Hamiltonian is expressed by the variational
kernels of the vacuum wave functional by using the canonical recursive
Dyson--Schwinger equations (CRDSEs) derived previously. Assuming the Gribov
formula for the gluon energy we solve the CRDSE for the quark propagator in the
bare-vertex approximation together with the variational equations of the quark
sector. Within our approximation the quark propagator is fairly insensitive to
the coupling to the spatial gluons and its infrared behaviour is exclusively
determined by the strongly infrared diverging instantaneous colour Coulomb
potential.
