Coriolis coupling operator

The operator Tang contains the cross-terms that give rise to the Coriolis coupling that mixes states with different fl (the projection of the total angular momentum quantum number J onto the intermolecular axis). This term contains first derivative operators in y. On application of Eq. (22), these operators change the matrix elements over ring according to... 

The matrix M is an inverse generalised inertia tensor while G is is an inverse metric matrix. The operator A< is associated with the Coriolis coupling and so no coordinate system can be found in which it will vanish. The operator t, is dependent on internal coordinate choice and it is possible to choose a coordinate system in which this term vanishes. 

Here, Vexm is a purely multiplicative operator called the extra potential term. The volume elements used to normalize the wavefunction reads dV = sin (3dad0d f dqi... dqsN-6- This ensures that the momentum operators Pi are Hermitian. The matrices G, C and F, which stand for internal vibrations, Coriolis couplings and overall rotation, respectively, are, in general, functions of the internal coordinates. 

Non-adiabatic transitions are induced by off-diagonal matrix elements of die nuclear kinetic operator on the electronic wavefunctions. In the case of OCS, a rotational (Coriolis) coupling is essential. If we assume the total angular momentum J to be zero, a rotational coupling term is expressed as follows ... 

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