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9
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0000147014
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More generally, ω prime = γ ( ω - M Ω ), where M is the wave's total angular momentum parameter along the axis of rotation of the observer. In the eikonal approximation this relation reduces to the Doppler effect together with the spin-rotation coupling. Thus ω prime = 0 can occur for any field whenever ω / Ω = M. In connection with the possibility of observing the spin-rotation coupling, see
-
(1988)
Phys. Rev. Lett.
, vol.61
, pp. 2639
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Mashhoon, B.1
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13
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84926876083
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Cambridge and University of Missouri-Columbia Report (unpublished);
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-
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Huang, J.C.1
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20
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84926932453
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V. Volterra, Theory of Functionals and of Integral and Integro-Differential Equations (Dover, New York, 1959); F. G. Tricomi, Integral Equations (Interscience, New York, 1957).
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-
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21
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84926876082
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This uniqueness property can be essentially extended to the space of square-integrable functions as well (cf. F. G. Tricomi, Ref. [6]).
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-
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22
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84926876081
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In the standard theory the field determination is based on the immateriality of acceleration at any given instant of time. This is reasonable to the extent that the influence of inertial effects can be neglected over the time scale necessary for a proper determination of the field. According to the ansatz (2), the deviation from the standard theory for a radiation field is in the form of a weighted ``average'' of the field consistent with the requirement of causality.
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-
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23
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34250132328
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The hypothesis that an electromagnetic wave can never completely stand still with respect to an observer may be extended to a principle of complementarity of absolute and relative motion. In this connection, see
-
(1984)
Gen. Rel. Grav.
, vol.16
, pp. 711
-
-
Mashhoon, B.1
Hehl, F.W.2
Theiss, D.S.3
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25
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84926932452
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University of Missouri-Columbia Report, 1991 (unpublished);
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-
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26
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84926876080
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University of Missouri-Columbia Report, 1992 (unpublished).
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27
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84926894965
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It is very important to note here that the constant field under discussion is the ω = 0 limit of a radiation field. It is clear that for an electrostatic or a magnetostatic field Eq. (1) holds, i.e., scrFαβ = Fαβ sprime.
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28
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84926876079
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A detailed treatment will be published elsewhere.
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