Zero absolute vorticity state in thermal equilibrium as a hydrodynamic analog of the quantum harmonic oscillator ground state

E. Heifetz; L. R.M. Maas

doi:10.1063/5.0047620

Zero absolute vorticity state in thermal equilibrium as a hydrodynamic analog of the quantum harmonic oscillator ground state

E. Heifetz^*, L. R.M. Maas

^*Corresponding author for this work

Tel Aviv University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Here, we point out on an intriguing mapping between the quantum harmonic oscillator ground state and the zero absolute vorticity plane Couette flow of a Boltzmann-like density distributed ideal gas in thermal equilibrium. The mapping is obtained when the gas is embedded in a rotating frame whose rotation rate is equal to half of the frequency of the quantum harmonic oscillator.

Original language	English
Article number	031708
Pages (from-to)	1-3
Number of pages	3
Journal	Physics of Fluids
Volume	33
Issue number	3
DOIs	https://doi.org/10.1063/5.0047620
Publication status	Published - 1 Mar 2021

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© 2021 Author(s).

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10.1063/5.0047620

5.0047620Final published version, 461 KBLicence: Taverne

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Zero absolute vorticity state in thermal equilibrium as a hydrodynamic analog of the quantum harmonic oscillator ground state

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