 Home

Codex Wiki

Physics

Branch of physics

Quantum field theory

Quantum field theory in curved spacetime

Vacuum ambiguity in a nonstationary spacetime

Bogoliubov transformation

In-vacuum and out-vacuum

If
$$
u_i^{\rm out}=\sum_j(\alpha_{ij}u_j^{\rm in}+\beta_{ij}u_j^{{\rm in}*}),
$$
then the expected out-particle number in mode $i$ in the in-vacuum is
$$
\langle0_{\rm in}|N_i^{\rm out}|0_{\rm in}\rangle
=\sum_j|\beta_{ij}|^2.
$$


Particle number from Bogoliubov coefficients

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 311 / 4 / b / i / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 311 / 4 / b / Solution

Particle number from Bogoliubov coefficients

 Ancestors (8)

 Incoming links (2)

 Discussion (0)

 Articles by others on the same topic (0)

Particle number from Bogoliubov coefficients

 Ancestors (8)

 Incoming links (2)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

 Discussion (0)