Scattering coefficients and bound states for high-energy transparent $\delta-\delta^{\prime}$ interactions

TL;DR

This paper introduces an energy-dependent model for delta-delta prime interactions in one-dimensional quantum mechanics, achieving full transmission at high energies and analyzing bound states.

Contribution

It presents a novel energy-dependent approach to delta-delta prime interactions, providing explicit scattering coefficients and bound state solutions.

Findings

Scattering coefficients show full transmission at high energies.

Bound state solutions are explicitly computed.

Model advances understanding of quantum interactions with delta potentials.

Abstract

We propose a model for energy-dependent $\delta-\delta^{\prime}$ interactions which yields scattering coefficients exhibiting full transmission for high-energy incident particles, also computing the bound solutions in one-dimension nonrelativistic quantum mechanics.