5 research outputs found
Two state scattering problem to Multi-channel scattering problem: Analytically solvable model
Starting from few simple examples we have proposed a general method for
finding an exact analytical solution for the two state scattering problem in
presence of a delta function coupling. We have also extended our model to deal
with general one dimensional multi-channel scattering problems
Curve Crossing Problem with Arbitrary Coupling: Analytically Solvable Model
We give a general method for finding an exact analytical solution for the two
state curve crossing problem. The solution requires the knowledge of the
Green's function for the motion on the uncoupled potential. We use the method
to find the solution of the problem in the case of parabolic potentials coupled
by Gaussian interaction. Our method is applied to this model system to
calculate the effect of curve crossing on electronic absorption spectrum and
resonance Raman excitation profile