# Eisenhart-Duval lift for minisuperspace quantum cosmology

@article{Kan2021EisenhartDuvalLF, title={Eisenhart-Duval lift for minisuperspace quantum cosmology}, author={Nahomi Kan and Takuma Aoyama and Taiga Hasegawa and Kiyoshi Shiraishi}, journal={Physical Review D}, year={2021} }

Takuma Aoyama, Taiga Hasegawa, and Kiyoshi Shiraishi Graduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753–8512, Japan (Dated: July 29, 2021) We study covariant equations in quantum cosmology of an extended minisuperspace obtained by the Eisenhart–Duval lift. We find that a Dirac-type equation is naturally introduced in the extended minisuperspace. Explicit forms of the fundamental solutions are yielded for specific models. The possible…

## One Citation

Third quantization for scalar and spinor wave functions of the Universe in an extended minisuperspace

- Physics
- 2021

We consider the third quantization in quantum cosmology of a minisuperspace extended by the Eisenhart–Duval lift. We study the third quantization based on both Klein–Gordon type and Dirac-type…

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