most citedSmall Oscillations of a Vortex Ring: Hamiltonian Formalism and Quantization

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math-ph2021★ 11 cited

Small Oscillations of a Vortex Ring: Hamiltonian Formalism and Quantization

S. V. Talalov

This article investigates small oscillations of a vortex ring with zero thickness that evolves under the Local Induction Equation (LIE). We deduce the differential equation that de…