Real Eigenvalues of the Monoenergetic Transport Operator for a Homogeneous Medium

Abstract

The eigenvalue problem of the monoenergetic neutron transport operator is studied mathematically under the assumptions of homogeneity and boundedness of the medium and of isotropy of scattering. It is shown that the spectrum involves a countable infinity of real eigenvalues with an accumulation point at minus infinity. Each eigenvalue has a finite multiplicity.