Related papers: Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model

Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model

URL: http://arxiv.org/abs/2504.16575v1
Date: Wed, 23 Apr 2025 09:53:32 GMT
Title: Impact of a tunneling particle on the quantum state of a barrier: two-particle wave-packet model
Authors: Roman Michelko, Peter Bokes,
Abstract summary: We find that the states of the barrier particle after the tunneling or reflection of the projectile are displaced by a finite distance.<n>Our work demonstrates physical implication of the concept of phase time delay in the form of finite displacements of particles.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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.

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