By Hamlet K. Avetissian
This publication is on diversified nonlinear schemes of unfastened Electron Lasers, Laser Accelerators, and Electron-Positron pair creation and covers the speculation of interplay of sturdy and large powerful laser fields with charged debris and vacuum. those subject matters can be within the heart of primary examine within the subsequent decade. the writer, who has over 30 years of expertise during this box, has built non-linear concept and new methods to unravel respective relativistic classical and quantum difficulties. The ebook may be specifically invaluable for researchers, scholars and practitioners within the fields of Particle and Laser Physics.
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Extra info for Relativistic Nonlinear Electrodynamics: Interaction of Charged Particles with Strong and Super Strong Laser Fields
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126) c where A(e) (x) is the four-dimensional vector potential of the scattering ﬁeld. Upon Fourier transformation A(e) (x) = 1 4 (2π) A(e) (q ) e−iq x d4 q , Eq. 126) will have the form Sif = − ie c2 4 (2π) Ψ Π σ A(e) (q ) e−iq x ΨΠσ d4 q d4 x. 7 Bremsstrahlung in Superstrong Wave Fields 35 The static potential ﬁeld (for nucleus/ion — as a scattering center — the recoil momentum is neglected) will be described by the scalar potential ϕ (r) A(e) (x) = (ϕ (r) , 0) and for the Fourier transform of A(e) (x) we have A(e) (q ) = (2πδ (q0 ) ϕ (q ) , 0) .
Then we obtain 1 2 2πe2 T |Sif | = Π0 Π0 2 σ ,σ 2 |ϕ (qs )| s e (pB1s ) ω e2 ωB2s EBs − + 2 (kp) c 2c (kp) 2 2 + − e2 2 [kqs ] 2 |B1s | − Re (B2s Bs∗ ) 4(kp )(kp) 2 2 2 qs c 4 2 |Bs | δ (Π0 − Π0 − s ω) . 137) is the partial diﬀerential cross section, which describes the s-photon SB process. 138) and sm is the maximum number of emitted photons: sm = Π0 − m∗ c2 . 141) and the Bessel function argument is α= eA0 |κ| . 142) At the absence of incident EM wave (A0 = 0) from Eq. 140) we obtain the Mott formula for elastic scattering of the electron in the Coulomb ﬁeld, which corresponds to s = 0 harmonic.