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I know two ways to derive black-body radiation in Unruh effect and they are:

  1. Using Bogoliubov coefficients (N. D. Birrell and Paul Davies)
  2. Using Page approximation (David J. Toms and Leonard Parker)

Are there other ways to derive this effect (for example using Hamiltonian diagonalization maybe)?

Ruslan
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aitfel
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1 Answers1

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Unruh effect can be considered as a special case of Hawking radiation (See the beautiful answer of Motl to this question). Then finding ways to discover the Hawking effect gives you ways to infer the Unruh radiation existence.

Three lovely and strongly physical derivations of the Hawking effect:

1) Cancelling gravitational anomalies https://arxiv.org/abs/gr-qc/0502074

2) Avoiding equivalence principle violations https://arxiv.org/abs/1102.5564

3) Hawking's derivation using the imaginary time trick https://hapax.github.io/physics/imaginary-time/