Multi-channel curve crossing problems: analytically solvable model

Abstract

We have proposed a general method for finding the exact analytical solution for the multi-channel curve crossing problem in the presence of delta function couplings. We have analysed the case where a potential energy curve couples to a continuum (in energy) of the potential energy curves.

Keywords:

• nonadiabatic
• curve crossing
• multi-channel

Acknowledgements

The author thanks Professor K.L. Sebastian for suggesting this very intersting problem. It is a pleasure to thank Professor J.A. Cina for his kind interest, suggestions and encouragement. The author also thanks Professor H. Kleinert for useful email correspondence.