Overview of quantum reactive methods and remarks on the coupled equations problem

2 Overview of quantum reactive methods and remarks on the coupled equations problem 

In the hyperspherical coordinate systems, the scattering coordinate - the hyperradius - is defined to describe simultaneously all the fragmentation channels possible in a collision system. There is no need for troublesome match- 

Within the generalised Schrodinger approach, the close-coupling methods have had much less popularity. Several interesting attempts, however, have been made to derive coupled equations within this approach in an ordinary differential equation form (Diestler 1971 [59], Stechel et al. 1979 [60], Top and Shapiro 1983 [61], Schwenke et al. 1987 [62]). Successful calculations based on one of such formulations (which also employs hyperspherical coordinates) have been reported by Schatz (1986-89) [42, 43, 44]. 

For further references on the coupled equations problems and the relation of the coordinate problem to quantum reactive methods see the reviews of Mrugala [15] and Manolopolous and Clary [14]. 

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