Pair creation in curved Snyder space
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.
- Publication:
-
International Journal of Modern Physics A
- Pub Date:
- February 2020
- DOI:
- 10.1142/S0217751X20500141
- Bibcode:
- 2020IJMPA..3550014H
- Keywords:
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- Snyder model;
- Snyder (anti-)de Sitter model;
- pair creation;
- 03.65.-w;
- 04.62.+v;
- Quantum mechanics;
- Quantum field theory in curved spacetime