’Hermite’ states in the quantum interaction of vortices

Quantum effects in the dynamics of a pair of monopolar vortices, arbitrary in their nature, are described in both the Heisenberg and Schrödinger 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.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 03.65.Ca, 03.65.Ge, 47.32.Cc (all)
DOI: 10.1070/PU2005v048n08ABEH002571
Citation: Zaburdaev V Yu, Romanov A S, Chukbar K V "'Hermite' states in the quantum interaction of vortices" Phys. Usp. 48 841–846 (2005)
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Оригинал: Забурдаев В Ю, Романов А С, Чукбар К В «„Эрмитовы“ состояния в квантовом взаимодействии вихрей» УФН 175 881–886 (2005); DOI: 10.3367/UFNr.0175.200508f.0881

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