RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2013

 / 

June

←  →

Methodological notes


The neutron Berry phase


Joint Institute for Nuclear Research, 6 Joliot-Curie Str., Dubna, Moscow Region, 141980, Russian Federation

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.

Fulltext pdf (510 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0183.201306e.0631
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, 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) ↓

  1. G.B. Malykin, V.I. Pozdnyakova “Geometric phases in singlemode fiber lightguides and fiber ring interferometers” 47 289–308 (2004)
  2. V.I. Bodnarchuk, L.S. Davtyan, D.A. Korneev “Geometrical phase effects in neutron optics” 39 169–177 (1996)
  3. G.A. Vardanyan, G.S. Mkrtchyan “A solution to the density matrix equation” 33 (12) 1072–1072 (1990)
  4. S.V. Goupalov “Classical problems with the theory of elasticity and the quantum theory of angular momentum” 63 57–65 (2020)
  5. K.S. Vul’fson “Angular momentum of electromagnetic waves” 30 724–728 (1987)
  6. A.A. Grib “On the problem of the interpretation of quantum physics” 56 1230–1244 (2013)
  7. A.V. Belinsky, M.Kh. Shulman “Quantum nature of a nonlinear beam splitter” 57 1022–1034 (2014)
  8. V.G. Bagrov, D.M. Gitman, A.S. Pereira “Coherent and semiclassical states of a free particle” 57 891–896 (2014)
  9. Yu.M. Tsipenyuk “Zero point energy and zero point oscillations: how they are detected experimentally” 55 796–807 (2012)
  10. E.D. Trifonov “On the spin-statistics theorem” 60 621–622 (2017)
  11. G.V. Shpatakovskaya “Semiclassical method of analysis and estimation of the orbital binding energies in many-electron atoms and ions” 62 186–197 (2019)
  12. I.F. Ginzburg “Particles in finite and infinite one-dimensional chains” 63 395–406 (2020)
  13. S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)” 63 721–724 (2020)
  14. B.I. Sturman “Ballistic and shift currents in the bulk photovoltaic effect theory” 63 407–411 (2020)
  15. A.N. Rubtsov “On the question of measurement in quantum mechanics” 66 734–740 (2023)
  16. K.V. Chukbar “Harmony in many-particle quantum problem” 61 389–396 (2018)
  17. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” 42 573–590 (1999)
  18. V.S. Popov “Feynman disentangling оf noncommuting operators and group representation theory” 50 1217–1238 (2007)
  19. E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elements” 36 (9) 851–853 (1993)
  20. A.S. Tarnovskii “The Bohr-Sommerfeld quantization rule and quantum mechanics” 33 (1) 86–86 (1990)

The list is formed automatically.
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions