The neutron Berry phase is found from a precise analytical solution of the Shrödinger equation in a constant magnetic field $B_{0}$ and perpendicular to it radiofrequency field $b$ rotating with an angular frequency $\omega$. The solution is found for arbitrary values of $B_{0}$, $b$, and $\omega$. The Berry phase is shown to be a linear in parameter $\omega$/$B_{0}$ approximation to the precise value, when this parameter is small.

PACS: 03.65.−w, 03.65.Vf, 14.20.Dh, 76.50.+g (all) DOI: 10.3367/UFNe.0183.201306e.0631 URL: https://ufn.ru/en/articles/2013/6/d/ 000324296600004 2-s2.0-84888386109 2013PhyU...56..603I Citation: Ignatovich V K "The neutron Berry phase" Phys. Usp. 56 603–604 (2013) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 26th, May 2012, revised: 17th, May 2013, accepted: 15th, November 2012 Оригинал: Игнатович В К «Фаза Берри для нейтрона» УФН 183 631–632 (2013); DOI: 10.3367/UFNr.0183.201306e.0631