We present a comprehensive survey of the dynamics of spin-polarized beams in high-energy particle accelerators. A major theme of this review is to clarify the distinction between the properties of an individual particle-a spin-and that of a beam-the polarization. We include work from a number of institutions, including high-and medium-energy facilities, synchrotron light sources and muon storage rings (including a proposal to measure the muon electric dipole moment) and, briefly, linear accelerators and recirculating linacs. High-precision tests of the Standard Model using spin-polarized beams are reviewed; also innovative studies using spin dynamics as a tool for accelerator physics per se. We include important historical works as well as modern developments in the field. The fundamental theory is derived in detail, starting from the basic principles of quantum mechanics, electrodynamics and statistical mechanics, as well as 'accelerator physics'. The principal theoretical formulae in the field (Froissart-Stora, Sokolov-Ternov and Derbenev-Kondratenko) are presented, with in-depth attention to the quantum-statistical mechanics, as opposed to purely 'accelerator physics'.

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High energy photon colliders (γγ,γe) are based on e-e-linear colliders where high energy photons are produced using Compton scattering of laser light on high energy electrons just before the interaction point. This paper is a part of the Technical Design Report of the linear collider TESLA.1Physics program, possible parameters and some technical aspects of the photon collider at TESLA are discussed.

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A free relativistic electron in an electromagnetic field is a pure case of a light-matter interaction. In the laboratory environment, this interaction can be realized by colliding laser pulses with electron beams produced from particle accelerators. The process of single photon absorption and reemission by the electron, so-called linear Thomson scattering, results in radiation that is Doppler shifted into the x-ray and gamma-ray regions. At elevated laser intensity, nonlinear effects should come into play when the transverse motion of the electrons induced by the laser beam is relativistic. In the present experiment, we achieved this condition and characterized the second harmonic of Thomson x-ray scattering using the counterpropagation of a 60 MeV electron beam and a subterawatt CO2 laser beam.