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    3. A Theory of Scattering for Quasifree Particles

    A Theory of Scattering for Quasifree Particles

    Posted By: nebulae
    Date: 30 Jul 2015 23:02:14
    A Theory of Scattering for Quasifree Particles

    Raymond F Streater, "A Theory of Scattering for Quasifree Particles"
    English | ISBN: 9814612065 | 2014 | 104 pages | PDF | 1 MB

    In this book, the author presents the theory of quasifree quantum fields and argues that they could provide non-zero scattering for some particles. The free-field representation of the quantised transverse electromagnetic field is not closed in the weak*-topology. Its closure contains soliton anti-soliton pairs as limits of two-photon states as time goes to infinity, and the overlap probability can be computed using Uhlmann's prescription. There are no free parameters: the probability is determined with no requirement to specify any coupling constant. All cases of the Shale transforms of the free field ϕ of the form ϕ→ϕ+φ, where φ is not in the one-particle space, are treated in the book. There remain the cases of the Shale transforms of the form ϕ → Tϕ, where T is a symplectic map on the one-particle space, not near the identity.
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