The quantum dynamics of collinear reactive triatomic systems

1 The quantum dynamics of collinear reactive triatomic systems 

Reactive scattering formalism. The problem being considered is that of obtaining solutions of the nuclear motion Schrodinger equation 

A more convenient notation can be introduced by considering that the bound vibrational wave functions 0AnA ( a) differ significantly from zero only over a relatively small range of r of atomic dimensions. Furthermore, considering also C-l-BA collisions, eq. (5.2) can be rewritten as 

In this expression, denotes the initial state of the reagents (which are 

A-hBC for A = a and C+BA for A = 7, where B is always the central atom), the sign indicates that we are considering asymptotically the regions of configuration space in which either R 00 with finite or R 00 with 

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