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TY - UNPB AU - Alimohamadi, M. ED - Schaa, Volker RW ED - Makino, Kyoko ED - Snopok, Pavel ED - Berz, Martin TI - Quantum Statistical Properties of Free Electron Laser With a Planar Wiggler and Ion-Channel Guiding J2 - Proc. of ICAP2018, Key West, FL, USA, 20-24 October 2018 CY - Key West, FL, USA T2 - International Computational Accelerator Physics Conference T3 - 13 LA - english AB - An analysis of the free-electron lasers (FELs) with a planar wiggler and in the presence of ion-channel guiding, has been carried out using a Hamiltonian quantum field theory. The quantum Hamiltonian of single a particle has been derived in the Bambini-Renieri (BR) frame [1-5]. The equations are valid in a reference frame, moving with a relativistic velocity with respect to the laboratory frame, chosen in such a way that the carrier frequency of the pulse equals the pseudoradiation (wiggler) field frequency. In this reference frame, the equations assume a simple non-relativistic form. Time-dependent wave function and three constants of motion are obtained. The Wei-Norman  Lie algebraic approach has been employed to solve exactly the spherical Raman-Nath equation (SRNE) [3-5]. A quantum approach has been used to get photon gain, photon statistics and squeezing properties of a FEL. The quantum statistical properties have also been studied numerically. PB - JACoW Publishing CP - Geneva, Switzerland ER -