Geodesic
Construction of the electromagnetic current operator in different forms of Poincaré-invariant quantum mechanics
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 243-249 Cet article a éte moissonné depuis la source Math-Net.Ru

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In an approach of the Poincaré-invariant quantum mechanics in a modified relativistic impulse approximation performed construction of the operator of the electromagnetic current for different forms of dynamics (instant form, point form and dynamics of the light-front). The current operator is constructed according to the conditions of Lorentz covariance and conservation. It is shown that the analytical expressions for the form factor are identical in all forms of dynamics. Numerical calculations of the pion form factor with the wave function obtained by the variational method are in good agreement with experiment.
Keywords: electromagnetic current, two-body problem, the canonical parameterization formfactor. 
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     title = {Construction of the electromagnetic current operator in different forms of {Poincar\'e-invariant} quantum mechanics},
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A. F. Krutov; R. G. Polezhaev. Construction of the electromagnetic current operator in different forms of Poincaré-invariant quantum mechanics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 131 (2013) no. 2, pp. 243-249. http://geodesic.mathdoc.fr/item/VSGTU_2013_131_2_a28/

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