Knowledge Bank

An examination of the Hamiltonian operator for two colliding molecules written in terms of several coordinate systems using different rotational angle variables will be presented, in an attempt to simplify the symmetry considerations and numerical integration procedures associated with a theoretical study of the double resonance results of $Oka.1$ A general Hamiltonian will be described for the collision pair which is analogous to the ordinary diatomic molecule Hamiltonian, with the rotational angular momenta of the two colliding molecules playing the role of L and S in the diatomic molecule. In addition, for the particular case of an atom-diatomic molecule collision, the shifting of coupling terms from the potential to the kinetic energy part of the Hamiltonian will be discussed.