E. Deprunele, SOLVABLE MODEL FOR 3-DIMENSIONAL QUANTUM SCATTERING OF A PARTICLE OFFSEVERAL SEPARABLE INTERACTIONS CENTERED AT N ARBITRARY POINTS, Journal of physics. A, mathematical and general, 30(22), 1997, pp. 7831-7848
A solvable model for non relativistic quantum scattering in three-dime
nsional space of a particle off several interactions centred at n arbi
trary points is given. The interaction at one centre can be very diffe
rent from the interaction at another. Each interaction centred at a gi
ven point can be effective on any partial wave with respect to this po
int. Each centred interaction is a sum of projectors on a finite numbe
r of partial waves relative to the centre. Elementary applications are
given.