On the properties of the "potential" neutron dispersion law in a refractive medium

It is known that the so-called potential law of neutron-wave dispersion in matter is distinct from all other dispersion laws in that the normal component of the wave vector in a medium depends only on its vacuum value. There is also another feature to the potential dispersion law, related to the statement that the neutron group velocity in a medium is equal to the product of its vacuum velocity by the refraction index. Although generally accepted as obvious, this statement turns out to be valid only for the potential dispersion law, for which the neutron effective mass in a medium is equal to the inertial one.

Keywords: neutron waves, refractive medium, dispersion law, effective mass
PACS: 03.65.Nk, 03.75.Be (all)
DOI: 10.3367/UFNe.2017.11.038237
URL: https://ufn.ru/en/articles/2018/9/e/
Web of Science

000452480000005
Scopus

2-s2.0-85058476406
ADS NASA

2018PhyU...61..900F
Citation: Frank A I "On the properties of the "potential" neutron dispersion law in a refractive medium" Phys. Usp. 61 900–901 (2018)

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Received: 6th, May 2017, revised: 29th, October 2017, accepted: 10th, November 2017

Оригинал: Франк А И «О свойствах "потенциального" закона дисперсии нейтрона в преломляющей среде» УФН 188 997–998 (2018); DOI: 10.3367/UFNr.2017.11.038237

References (19) Cited by (2) Similar articles (20) ↓

A.I. Frank “Interaction of a wave with an accelerating object and the equivalence principle” Phys. Usp. 63 500–502 (2020)
M.V. Lebedev, O.V. Misochko “On the question of a classical analog of the Fano problem” Phys. Usp. 65 627–640 (2022)
Yu.M. Bruk, A.N. Voloshchuk “Scattering phases for particles with nonzero orbital momenta and resonance regimes in the Pais approximation” Phys. Usp. 55 161–168 (2012)
G.S. Bisnovatyi-Kogan, I.A. Kondratyev “Free electron gas and electron—positron pair equilibrium in a magnetic field” Phys. Usp. 64 515–528 (2021)
V.S. Beskin, A.A. Zheltoukhov “On the anomalous torque applied to a rotating magnetized sphere in a vacuum” Phys. Usp. 57 799–806 (2014)
N.N. Rosanov “Unipolar pulse of an electromagnetic field with uniform motion of a charge in a vacuum” Phys. Usp. 66 1059–1064 (2023)
R.Z. Muratov “Some useful correspondences in classical magnetostatics, and the multipole representations of the magnetic potential of an ellipsoid” Phys. Usp. 55 919–928 (2012)
V.S. Olkhovsky “On the multiple internal reflections of particles and phonons tunneling in one, two, or three dimensions” Phys. Usp. 57 1136–1145 (2014)
M.Ya. Agre “Multipole expansions in magnetostatics” Phys. Usp. 54 167–180 (2011)
E.H. Lock “The properties of isofrequency dependences and the laws of geometrical optics” Phys. Usp. 51 375–393 (2008)
A.A. Abrashkin, E.N. Pelinovsky “On the relation between Stokes drift and the Gerstner wave” Phys. Usp. 61 307–312 (2018)
V.V. Brazhkin “Can glassforming liquids be 'simple'?” Phys. Usp. 62 623–629 (2019)
I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive media” Phys. Usp. 59 141–152 (2016)
A.G. Shalashov, E.D. Gospodchikov “'Anomalous' dissipation of a paraxial wave beam propagating along an absorbing plane” Phys. Usp. 65 1303–1312 (2022)
A.V. Kukushkin, A.A. Rukhadze, K.Z. Rukhadze “On the existence conditions for a fast surface wave” Phys. Usp. 55 1124–1133 (2012)
V.V. Shevchenko “Localization of a stationary electromagnetic field by a planar boundary of a metamaterial” Phys. Usp. 54 1131–1142 (2011)
L.A. Maksimov, T.V. Khabarova “Properties of acoustic polarization vectors in crystals and the phonon Hall effect” Phys. Usp. 53 481–485 (2010)
G.N. Gaidukov, A.A. Abramov “An interpretation of the energy conservation law for a point charge moving in a uniform electric field” Phys. Usp. 51 163–166 (2008)
A.V. Vashkovskii, E.H. Lock “Negative refractive index for a surface magnetostatic wave propagating through the boundarybetween a ferrite and ferrite-insulator-metal media” Phys. Usp. 47 601–605 (2004)
L.I. Antonov “Macroscopic representation of the magnetization vector field in a magnetic substance” Phys. Usp. 46 1203–1207 (2003)

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