Green's function formulation of the traversal time and nature of the complex time

We develop a Green's function formalism and with it we are able to obtain c lose expressions for the tunnelling and for the reflection times. For each problem, there appear two characteristic times which correspond to the real and imaginary parts of the integral of the Green's function at coinciding coordinates. The time related to the imaginary part represents the minimum uncertainty of the measurement. A strong analogy between the results of the different existing approaches is established. and we show that their main differences are due to finite-size effects.