Pair creation in curved Snyder space

Hamil B., Merad M., Birkandan T.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.35, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35
  • Publication Date: 2020
  • Doi Number: 10.1142/s0217751x20500141
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Environment Index, INSPEC, zbMATH
  • Istanbul Technical University Affiliated: Yes

Abstract

We study the problem of pair creation of scalar particles by an electric field in curved Snyder space. We find exact solutions for the Klein-Gordon equation with a constant electric field in terms of hypergeometric functions. Then we calculate the pair creation probability and the number of created pairs of particles through Bogoliubov transformation technique.