Monopole ’83 pp 359-365 | Cite as

Coherent, Co-Operative Aspects of Monopole and Matter Interaction

  • Timir Datta
Part of the NATO ASI Series book series (NSSB, volume 111)


Since no highly ionizing monopoles are observed,1 the local velocity of the monopole must be v < 10−4c. Also because the sensitivity of the inductive superconducting2 detection technique used by Cabrera3 is independent of the monopole speed, the Cabrera result will be consistent with the negative results elsewhere, if it is agreed that the interesting monopole speeds lie in the rather restrictive low range 10−5c ⩽ v ⩽ 10−4c. Therefore, it is of considerable interest to identify new mechanisms by which a slowly moving monopole may interact with a material medium.4 This may be useful in the design of future monopole experiments.


Spin Wave Magnetic Medium Monopole Charge Verdet Constant Pickup Head 
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  1. 1.a)
    For v ⩾ 10−3e the monopole flux Fm is < 4.1×10−13 cm−2 sr−1 s−1 and v ⩾ 10−4e Fm < 5×10−12 cm−2 sr−1 g−1, see (a) J. Bartelt, H. Courant, K. Heller, T. Joyce, M. Marshak, E. Peterson, K. Ruddick, and M. Shupe, D.S. Ayrus, J.W. Dawson, T.H. Fields, E.N. May and L.E. Price, Phys. Rev. Letts, 50, 655 (1983).ADSCrossRefGoogle Scholar
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    Here we have expressed the spin wave equation with the imaginary (i) part explicit, this makes the analogy with the Cherenkov problem more obvious as in Eq. (3). For the ferromagnetic case being considered, Eq. (1) is identical with the time dependent Schrodinger equation with a source term. In the case of antiferromagnetic spin waves, Eq. (1) will have to be trivially replaced by an inhomogeneous wave equation and will lead to a generation of Cherenkov antiferromagnetic magnons. S displays this wave like behavior because it is a conserved quantity. A local deviation of S cannot relax locally (hence rapidly), but equilibrates slowly and collectively over the whole system. Also S ∼ M1 where M1 is the magnetization perpendicular to the internal magnetization M. A discontinuity in M1 will accompany the magnon shock wave given by Eq. (1).Google Scholar
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    Where gω ≡ (i/D)g’ω.Google Scholar
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    See Ref. 7(b).Google Scholar
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    Such collective excitations will create acoustic Mach shock waves as well. In Aluminum Vsound 5km/s, so with V = Ve, θc = 34°.Google Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Timir Datta
    • 1
  1. 1.Physics and Astronomy DepartmentUniversity of South CarolinaColumbiaUSA

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