METHODOLOGICAL NOTES

'Hermite' states in the quantum interaction of vortices

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©, 2005 Uspekhi Fizicheskikh Nauk and Russian Academy of Sciences
, , Citation Vasilii Yu Zaburdaev et al 2005 Phys.-Usp. 48 841 DOI 10.1070/PU2005v048n08ABEH002571

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1 Russian Research Centre 'Kurchatov Institute', Moscow, Russian Federation

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1063-7869/48/8/841

Abstract

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.

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10.1070/PU2005v048n08ABEH002571