Exponential Asymptotics in a Singular Limit for $n$-Level Scattering Systems

Alain Joye

The singular limit $\eps\ra 0$ of the $S$-matrix associated with the equation $i\eps dψ(t)/dt=H(t)ψ(t)$ is considered, where the analytic generator $H(t)\in M_n(\C)$ is such that i…