Theory Of Scattering For Quasifree Particles, A
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A01=Ray F Streater
Author_Ray F Streater
C*-Algebra
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Euclidean Electrodynamics
Haag-Kastler Axioms
Haag-Ruelle Theory
Quantum Scattering
Quasi-Free Quantum Field Theory
Quasi-Free Scattering
Relativistic Quantum Field Theory
Relativistic Quasifree Representation of Transverse Electromagnetic Field
Segal-Bargmann Transform
Shale Transformation
Product details
- ISBN 9789814612067
- Publication Date: 30 Sep 2014
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
