Cosmological particle production and the precision of the WKB approximation

@article{Winitzki2005CosmologicalPP,
  title={Cosmological particle production and the precision of the WKB approximation},
  author={S. Winitzki},
  journal={Physical Review D},
  year={2005},
  volume={72},
  pages={104011}
}
  • S. Winitzki
  • Published 2005
  • Physics, Mathematics
  • Physical Review D
Particle production by slow-changing gravitational fields is usually described using quantum field theory in curved spacetime. Calculations require a definition of the vacuum state, which can be given using the adiabatic (WKB) approximation. I investigate the best attainable precision of the resulting approximate definition of the particle number. The standard WKB ansatz yields a divergent asymptotic series in the adiabatic parameter. I derive a novel formula for the optimal number of terms in… Expand
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