Creation of Spin-1/2 Particles in the Hyperboloid de Sitter Space-Time
Ali Havare, Taylan Yetkin, Murat Korunur
TL;DR
This paper solves the Dirac equation in hyperboloid de Sitter space-time to analyze spin-1/2 particle creation using Bogoliubov transformations, providing insights into quantum field behavior in curved spacetime.
Contribution
It introduces a method to solve the Dirac equation in hyperboloid de Sitter space and applies Bogoliubov transformations to study particle creation.
Findings
Particle creation occurs in hyperboloid de Sitter space.
Density number of created particles is computed.
Method demonstrates how quantum fields behave in curved spacetime.
Abstract
In this work we solve Dirac equation by using the method of seperation of variables. Then we analyzed the particle creation process. To compute the density number of particles created Bogoliubov transformation technique is used.
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