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Invariant imbedding as a generalization of the resolvent equation

par Mockel, André
Référence Journal of mathematical physics, 8, 12, page (2318-2321)
Publication Publié, 1967

Article révisé par les pairs

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Résumé :

Invariant imbedding equations for the Green's function of a general linear operator are shown to derive from a generalization of the resolvent equation of the theory of operators. Two applications are given: the neutron, or photon, transport in an arbitrary finite body, and the quantum-mechanical theory of collision. In the last case, a nonlinear differential equation for the amplitude of transition Tβα from a channel α to a channel β with conservation of the total energy is derived from the general equation.