2014•arXiv (Cornell University)Open access

A Solution of the Relativistic Schrödinger Equation for the $δ$-Function Potential in 1-dimensiona with Cutoff Regularization

M.H. Al-Hashimi, Abouzeid M. Shalaby

Abstract

We study the solution of the relativistic Schrödinger equation for a point particle in 1-d under $δ$-function potential by using cutoff regularization. We show that the problem is renormalizable, and the results are exactly the same as the ones obtained using dimensional regularization.

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Key concepts: Cutoff, Regularization (linguistics), Dimensional regularization, Physics, Mathematical physics, Schrödinger equation, Function (biology), Quantum electrodynamics