  We introduce the association-dissociation model of neutral hydrogen molecule,
which is a finite-dimensional cavity quantum electrodynamics model of chemistry
with two two-level artificial atoms on quantum dots placed in optical cavities,
based on the Tavis-Cummings-Hubbard model. The motion of the nuclei can be
represented in quantum form. Electron spin transition and spin-spin interaction
between electron and nucleus are both considered. Consideration is also given
to the effects of nuclear and electron spins on the formation of neutral
hydrogen molecule.
