NUMERICAL SOLUTION OF LIPPMANN-SCHWINGER EQUATION FOR ELECTRON AND H$_2^+$
ISOTOPE COLLISIONS
Hidekazu Takagi
Physics Laboratory, School of medicine, Kitasato University
The Lippmann-Schwinger equation for electron and H$_2^+$ isotope collisions
is solved numerically adopting 
an expansion by Chebyshev polynomial. The characteristic feature in the
scattering by the configuration 
interaction is discussed and utilized for the numerical calculation. 
Applying those results to the multichannel 
quantum defect formalism,  we investigated the dissociative recombination
and rotational and vibrational 
transition of H$_2^+$ and HD$^+$.\\