We investigate the scattering of two distinguishable particles with unequal
masses and a mutual short-range interaction with the aim of quantifying the
impact of a tunneling “projectile” particle on the quantum mechanical state
of the “barrier” particle. We find that the states of the barrier particle
after the tunneling or reflection of the projectile are displaced by a finite
distance that is given by the derivative of the phase of the transmission or
reflection amplitudes multiplied by factors dependent on particles’ masses,
respectively. We demonstrate these results on a numerical example with a
resonant interaction between a projectile and barrier. Our work demonstrates
physical implication of the concept of phase time delay in the form of finite
displacements of particles that are, in principle, experimentally measurable.

Este artículo explora los viajes en el tiempo y sus implicaciones.

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