# Unexciting classical backgrounds

@article{Vachaspati2022UnexcitingCB, title={Unexciting classical backgrounds}, author={Tanmay Vachaspati}, journal={Physical Review D}, year={2022} }

Quantum ﬁelds in time-dependent backgrounds generally lead to particle production. Here we consider “unexciting” backgrounds for which the net particle production vanishes. We start by considering the simple harmonic oscillator and explicitly construct all unexciting time-dependent frequencies. This allows us to construct homogeneous backgrounds in ﬁeld theory for which there is no particle production in any given mode, though we are able to show that there are no homogeneous backgrounds for…

## One Citation

### Generalized Gelfand-Dikii equation and solitonic electric fields for fermionic Schwinger pair production

- Physics
- 2022

Schwinger pair creation in a purely time-dependent electric ﬁeld can be reduced to an eﬀective quantum mechanical problem using a variety of formalisms. Here we develop an approach based on the…

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