On the index of the eigenvalue of a transport operator

Abstract

The index of the eigenvalue of the monoenergetic neutron transport operator is studied under the assumptions of homogeneity and boundedness of the medium and of isotropy of scattering. It is shown that all isolated real eigenvalues are with index one.

In addition, we show that there is no nonreal eigenvalue in {λ ϵ C|Reλ > — Σ}