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'Hermite' states in the quantum interaction of vortices

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Zaburdaev, V., Romanov, A., & Chukbar, K. (2005). 'Hermite' states in the quantum interaction of vortices. Physics-Uspekhi, 48(8), 841-846. doi:10.1070/PU2005v048n08ABEH002571.


Cite as: http://hdl.handle.net/21.11116/0000-0007-7D87-5
Abstract
Quantum effects in the dynamics of a pair of monopolar vortices, arbitrary in their nature, are described in both the Heisenberg and Schrodinger languages. This system proves to be very closely and universally related to a linear quantum oscillator, which allows us to call it a 'Hermite' system, in regard to the eigenfunctions of such an oscillator.