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.

PACS: 03.65.Ca, 03.65.Ge, 47.32.Cc (all) DOI: 10.1070/PU2005v048n08ABEH002571 URL: https://ufn.ru/en/articles/2005/8/e/ 000233818900005 2005PhyU...48..841Z Citation: Zaburdaev V Yu, Romanov A S, Chukbar K V "'Hermite' states in the quantum interaction of vortices" Phys. Usp. 48 841–846 (2005) BibTexBibNote ® (generic) BibNote ® (RIS)MedlineRefWorks TY JOUR TI 'Hermite' states in the quantum interaction of vortices AU Zaburdaev, V. Yu. AU Romanov, A. S. AU Chukbar, K. V. PB Physics-Uspekhi PY 2005 JO Physics-Uspekhi JF Physics-Uspekhi JA Phys. Usp. VL 48 IS 8 SP 841-846 UR https://ufn.ru/en/articles/2005/8/e/ ER https://doi.org/10.1070/PU2005v048n08ABEH002571 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