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

School of the Environment and Earth Sciences

Utrecht University

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

5 Scopus citations

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
Journal	Physics of Fluids
Volume	33
Issue number	3
DOIs	https://doi.org/10.1063/5.0047620
State	Published - 1 Mar 2021

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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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