The neutron Berry phase

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/
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000324296600004
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2-s2.0-84888386109
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2013PhyU...56..603I
Citation: Ignatovich V K "The neutron Berry phase" Phys. Usp. 56 603–604 (2013)

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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

References (7) ↓ Cited by (1) Similar articles (20)

Berry M V Proc. R. Soc. Lond. A 392 45 (1984)
Rabi I I Phys. Rev. 51 652 (1937)
Ignatovich V K Fizika Ul’trakholodnykh Neitronov (M.: Nauka, 1986) p. 194; Ignatovich V K The Physics Of Ultracold Neutrons (Oxford: Clarendon Press, 1990)
Deguchi S, Fujikawa K Phys. Rev. A 72 012111 (2005)
Vinitskii S I i dr. Usp. Fiz. Nauk 160 (6) 1 (1990); Vinitskii S I et al. Sov. Phys. Usp. 33 403 (1990)
Wang Sh-J Phys. Rev. A 42 5107 (1990)
Fujikawa K Mod. Phys. Lett. A 20 335 (2005)