Transmission time in the reflectionless complex potential

A phase time definition directly obtained from the Schr¨odinger equation is used to investigate the time delay of a particle scattered by complex reflectionless potential. The artifacts introduced by truncating in the numerical simulation are clarified. The time delay of the transmitted wave packet is found to be equal to the reflection time of the truncated potential.Both time delays are the same as the traversal time in the free space, but shorter than the time taken by a classical particle to pass the same potential.