  We present the hybrid anti-symmetrized coupled channels method for the
calculation of fully differential photo-electron spectra of multi-electron
atoms and small molecules interacting with strong laser fields. The method
unites quantum chemical few-body electronic structure with strong-field
dynamics by solving the time dependent Schr\"odinger equation in a fully
anti-symmetrized basis composed of multi-electron states from quantum chemistry
and a one-electron numerical basis. Photoelectron spectra are obtained via the
time dependent surface flux (tSURFF) method. Performance and accuracy of the
approach are demonstrated for spectra from the helium and berryllium atoms and
the hydrogen molecule in linearly polarized laser fields at wavelength from 21
nm to 400 nm. At long wavelengths, helium and the hydrogen molecule at
equilibrium inter-nuclear distance can be approximated as single channel
systems whereas beryllium needs a multi-channel description.
