On a Modified Klein Gordon Equation

2009/08/09 by B. S. Lakshmi, Lakshmi, B. S.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #General Physics (physics.gen-ph) #Numerical methods for differential equations #Quantum Mechanics and Non-Hermitian Physics #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0908.1237

5 pages, TeX

arxiv created 2009/08/09 · openalex publication_date 2009/08/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a modified Klein-Gordon equation that arises at ultra high energies. In a suitable approximation it is shown that for the linear potential which is of interest in quark interactions, their confinement for example,we get solutions that mimic the Harmonic oscillator energy levels, surprisingly. An equation similar to the beam equation is obtained in the process.

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