Rotation of quantum liquid without singular vortex lines

Details Rotation of quantum liquid without singular vortex lines Rotation of quantum liquid without singular vortex lines

2011-05-17

arxiv.org/abs/1105.3432v2

J. Phys. A: Math. Theor. 45, 035001 (2012)

Physics

Condensed Matter

Other Condensed Matter

17 pages, 57 References. Introduction and Conclusion Sections were modified with more references added. Accepted for publicati

Scientific paper

10.1088/1751-8113/45/3/035001

The operator equations for quantum hydrodynamics are discussed and solved in a simple cylindrical geometry. We find a solution with the velocity curl "frozen" into a density of the liquid in the absence of singular vortex lines. The spectrum of small oscillations around this solution is found as a generalization of the standard phonon spectrum, and the stability of the solution is demonstrated.

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