Rotation of quantum liquid without singular vortex lines
arXiv:1105.3432 · doi:10.1088/1751-8113/45/3/035001
Abstract
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.
17 pages, 57 References. Introduction and Conclusion Sections were modified with more references added. Accepted for publication in J. Phys A: Math. and Theor
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