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

2014/06/12 by M.H. Al-Hashimi, M. H. Al-Hashimi, Al-Hashimi, M. H. +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Computer science #Cutoff #Dimensional regularization #FOS: Physical sciences #Function (biology) #High Energy Physics - Theory (hep-th) #Mathematical physics #Mathematics #Numerical methods in inverse problems #Physics #Quantum Physics (quant-ph) #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Renormalization #Schrödinger equation #Spectral Theory in Mathematical Physics #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1406.3265

published in arXiv (Cornell University) (Cornell University) · 11 pages, 2 figures

openalex publication_date 2014/06/12 · arxiv created 2014/06/21 · arxiv updated 2014/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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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