Normalisation collision states

We use (6.22) to obtain from (6.21) the box-normalised wave-packet collision state at t = 0. 

We first consider the limit L — oo, applied to R q We normalise both the channel and collision states of (6.28) in the same way by considering the part of that describes the relative motion of the projectile and the target. After taking the limit this is an eigenstate of momentum kj). 

In this section we first summarise the meaning of the notation for the channel and collision states with box normalisation and in the continuum limit L —> 00. We then define notation for the limit 6 —> 0-1- and write the corresponding integral equations. 

Fig. 9.11. Normalised charge-cloud distribution of the excited Hg (6 Pi) state after collision with 8 eV electrons scattered through 20°. For Pg = 0 and Pe = Py = +1 the view is perpendicular to the scattering plane (3 direction), and for Pg = Px = +1 the view is in the scattering plane from the —x direction (fig. 9.7) (from Hanne, 1992).

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