Transition time estimation for ?-function coupling in two state problem: An analytically solvable model

• New method to calculate transition time in the two-state model. Coupling potential shows dual nature, opaque and transparent. Explicit dependency of on second state’s Greens function. The coupling strength incident energy. We propose a simple scattering problem, where two constant potentials are coupled by delta function V 12 = 21 k 0 ? ( x ) . exact analytical expression for ? is derived. notice explicitly depends energy along with strength. also observe from derived that depending initial energy, could behave like transparent or medium wave single state equivalent description.