Rotation of quantum liquid without singular vortex lines

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.

Comments: 17 pages, 57 References. Introduction and Conclusion Sections were modified with more references added. Accepted for publication in J. Phys A: Math. and Theor