Quantization of the Szekeres system

Article

Quantization of the Szekeres system

Zampeli, A. et al.

Class. Quantum Grav. 35, 125005 (2018)

Abstract

We study the quantum corrections on the Szekeres system in the context
of canonical quantization in the presence of symmetries. We start from an
effective point-like Lagrangian with two integrals of motion, one corresponding
to the Hamiltonian and the other to a second rank killing tensor. Imposing
their quantum version on the wave function results to a solution which is
then interpreted in the context of Bohmian mechanics. In this semiclassical
approach, it is shown that there is no quantum corrections, thus the classical
trajectories of the Szekeres system are not affected at this level. Finally, we
defne a probability function which shows that a stationary surface of the
probability corresponds to a classical exact solution.

Institute authors

Zampeli, Adamantia

BibTeX

@article{UTF697,
  author        = {Zampeli, A. et al.},
  title         = {{Quantization of the Szekeres system}},
  journal       = {Class. Quantum Grav.},
  volume        = {35},
  pages         = {125005},
  year          = {2018},
  doi           = {10.1088/1361-6382/aac227},
}