Multi-channel scattering problems: an analytically solvable model

Abstract

We have proposed a general method for finding an exact analytical solution for the multi-channel scattering problem in the presence of a delta function coupling. Our solution is quite general and is valid for any set of potentials, if the uncoupled diabatic potential has an exact solution. We have also discussed a few examples, where our method can easily be applied.

Keywords:

• quantum mechanics
• scattering
• multi-channel
• two state
• analytical model
• Green's function

Acknowledgements

One of the authors (A.C.) thanks Prof. K.L. Sebastian for suggesting this very interesting problem. A.C. would like to thank Prof. M.S. Child for his kind interest, suggestions and encouragements.