# Topological and rotating effects on the Dirac field in the spiral   dislocation spacetime

**Authors:** A. V. D. M. Maia, K. Bakke

arXiv: 1906.10995 · 2019-07-02

## TL;DR

This paper investigates how the topology of spiral dislocation spacetime and rotation influence the behavior and energy levels of the Dirac field under a hard-wall potential, revealing restrictions on the radial coordinate.

## Contribution

It introduces a detailed analysis of Dirac fields in spiral dislocation spacetime considering both topological effects and rotation, highlighting their combined impact on bound states.

## Key findings

- Topology affects energy levels of Dirac fields.
- Rotation imposes restrictions on the radial coordinate.
- Both factors influence relativistic bound states.

## Abstract

By considering a spacetime with a spiral dislocation, we analyse the behaviour of the Dirac field subject to a hard-wall confining potential. In search of relativistic bound states solutions, we discuss the influence of the topology of the spiral dislocation spacetime on the energy levels. Further, we analyse the effects of rotation on the Dirac field in the spiral dislocation spacetime. We show that both rotation and the topology of the spacetime impose a restriction on the values of the radial coordinate. Thus, we analyse the effects of rotation and the topology of the spiral dislocation spacetime on the Dirac field subject to a hard-wall confining potential by searching for relativistic bound states solutions.

## Full text

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## References

76 references — full list in the complete paper: https://tomesphere.com/paper/1906.10995/full.md

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Source: https://tomesphere.com/paper/1906.10995