On the genuine bound states of a non-relativistic particle in a linear finite range potential

TL;DR

This paper numerically solves the eigenvalue equation for a non-relativistic particle in a finite linear potential, revealing energy spectra relevant to particle physics and electronic applications.

Contribution

It provides explicit numerical solutions for the eigen-energies of a particle in a linear finite-range potential, a problem with applications in physics and electronics.

Findings

Eigen-energies computed numerically for the potential

Potential relevance to quark confinement models

Applications in electronic device modeling

Abstract

We explore the energy spectrum of a non-relativistic particle bound in a linear finite range, attractive potential, envisaged as a quark-confining potential. The intricate transcendental eigenvalue equation is solved numerically to obtain the explicit eigen-energies. The linear potential, which resembles the triangular well, has potential significance in particle physics and exciting applications in electronics.