Y. Shigeta et al., NONADIABATIC MOLECULAR THEORY AND ITS APPLICATION - II - WATER MOLECULE, International journal of quantum chemistry, 69(5), 1998, pp. 629-637
We introduce a new molecular theory beyond the Born-Oppenheimer approx
imation, where both electrons and nuclei are treated quantum mechanica
lly and equivalently. First, we develop the coupled mean-field theory
(CMFT) for both the electronic and nuclear fields. Then, to take into
account the dynamic correlation between these particles, we develop a
new molecular theory using the generator coordinate method (GCM) based
upon the CMFT, which enables us to calculate the molecular eigenstate
and eigenvalue directly. Finally, we apply this method to a water mol
ecule and analyze the isotope effect on the vibrational frequency and
the particle density. (C) 1998 John Wiley & Sons, Inc.