Abstract
The paper is devoted to the generalization of Case's method of solution of the one velocity Boltzmann equation in neutron transport theory with isotropic scattering of neutrons to the two-group approach in this field. The continuous and discrete eigenfunctions (distributions) have been derived and the completeness theorem has been demonstrated, which allow to write down the general solution of the two-group Boltzmann equations. As illustration of the application of the presented theory two examples have been discussed: the albedo problem for a half-space and the critical problem for a slab.
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