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Spectrum of the Multigroup-Multipoint Diffusion Operator with Delayed Neutrons

J. Devooght

Nuclear Science and Engineering

Volume 67 / Number 2 / August 1978 / Pages 147-161


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The spectrum of the multigroup-multipoint operator with delayed neutrons is studied under the assumption of a common fission spectrum. Using the fact that the fission operator is proportional to a projector, the Weinstein-Aronszajn technique for degenerate perturbation can be used. The general problem is first reduced to a problem without delayed neutrons. The high degeneracy of the spectrum is further examined and connected with the definition of “clusters.”

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