Confinement of spinless particles by Coulomb potentials in two-dimensional space-time

TL;DR

This paper investigates how spinless particles can be confined in 1+1 dimensions using a linear potential with mixed Lorentz scalar and vector couplings, deriving analytical bound-state solutions under certain conditions.

Contribution

It provides analytical solutions for bound states of spinless particles with mixed Lorentz scalar and vector potentials in 1+1 dimensions, highlighting conditions for confinement.

Findings

Bound states exist when scalar coupling exceeds a certain threshold.

Analytical solutions are derived for the bound states.

The study clarifies the role of potential mixing in particle confinement.

Abstract

The problem of confinement of spinless particles in 1+1 dimensions is approached with a linear potential by considering a mixing of Lorentz vector and scalar couplings. Analytical bound-states solutions are obtained when the scalar coupling is of sufficient intensity compared to the vector coupling.