# Production of Dirac Particles in External Electromagnetic Fields

## TL;DR

This paper investigates the creation of Dirac particles in external electromagnetic fields by solving the Dirac equation exactly and analyzing the resulting particle production, highlighting the dependence on field strengths.

## Contribution

It provides exact solutions to the Dirac equation in electromagnetic fields and calculates particle creation rates, advancing understanding of quantum field effects in external fields.

## Key findings

- Particle creation depends on electric and magnetic field strengths.
- Exact solutions enable precise calculation of Bogoliubov coefficients.
- Results clarify the relationship between field parameters and particle production.

## Abstract

Pair creation of spin- 1/2 particles in Minkowski spacetime is investigated by obtaining exact solu- tions of the Dirac equation in the presence of electromagnetic fields and using them for determining the Bogoliubov coefficients. The resulting particle creation number density depends on the strength of the electric and magnetic fields.