• Corpus ID: 14799667

# Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics

@article{Shigehara1999GeneralizedOP,
title={Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics},
author={Takaomi Shigehara and Hiroshi Mizoguchi and Taketoshi Mishima and Taksu Cheon},
journal={arXiv: Quantum Physics},
year={1999}
}
• Published 13 November 1999
• Physics
• arXiv: Quantum Physics
We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model with three neighboring $\delta$ functions. We also discuss the problem within relativistic (Dirac) framework and give the solution for a three parameter family. It gives a physical interpretation for so-called $\epsilon$ potential. It will be also shown that the scattering properties at high energy substantially differ…
1 Citations
• Physics
• 1999
The standard Kronig-Penney model with periodic $\delta$ potentials is extended to the cases with generalized contact interactions. The eigen equation which determines the dispersion relation for

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