Effects of chiral MIT boundary conditions for a Dirac particle in a box

TL;DR

This paper explores how chiral MIT boundary conditions influence the physical properties of a Dirac particle confined in a one-dimensional box, affecting its energy spectrum, spin states, and density distributions.

Contribution

It provides a detailed analysis of the impact of chiral MIT boundary conditions on the quantum states and densities of a Dirac particle in a box, highlighting the emergence of asymmetries.

Findings

Boundary conditions alter discrete momentum and energy levels.

Asymmetry in probability and scalar densities depends on spin and chiral parameters.

Chiral boundary conditions induce asymmetric distributions within the box.

Abstract

We investigate the effects of the chiral MIT boundary conditions for a Dirac particle in a 1D box. We show how the boundary condition affects the discrete momentum, energy level, transition frequency, and spin state in a box. The effects of the chiral MIT boundary conditions on the probability and scalar densities are also demonstrated. The results show that an asymmetric distribution appears in the box depending on the parameters of the spin orientation and chiral angle.