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SUPAG12 
Quantum Statistical Properties of Free Electron Laser With a Planar Wiggler and IonChannel Guiding  


Funding: [4] A. Bambini and A. Renieri. Lett. Nuovo Cimento 21, 399 (1978). [5] F. Ciocci, G. Dattoli, A. Renieri and A. Torre, Physics Reports, 141(1), 150(1986). An analysis of the freeelectron lasers (FELs) with a planar wiggler and in the presence of ionchannel guiding, has been carried out using a Hamiltonian quantum field theory. The quantum Hamiltonian of single a particle has been derived in the BambiniRenieri (BR) frame [15]. 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 nonrelativistic form. Timedependent wave function and three constants of motion are obtained. The WeiNorman [2] Lie algebraic approach has been employed to solve exactly the spherical RamanNath equation (SRNE) [35]. 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. [1]H. Mehdian, M. Alimohamadi, etal, J.Plasma. Phys. 78 (5), 537544(2012). [2] J. Wei, E. Norman, J. Math. Phys. A 4,575 (1963).[3] M. Alimohamadi, et al, J. Fus. Energy 31 (5), 463466(2012). 

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