REPORTS ON MATHEMATICAL PHYSICS, cilt.96, sa.1, ss.55-74, 2025 (SCI-Expanded, Scopus)
We explore the asymptotic behaviour of the so-called unstable Bloch eigenvalues of the polyharmonic matrix operator (-Delta)(l) +V(x) with (1)/(2) < l < 1, in the single resonance domain which is a subset of resonance domain - the set of eigenvalues situated close to the diffraction hyper planes. The single resonance domain approaches full measure asymptotically across the entire resonance domain. In our analysis, we discover a significant trend: as energy levels increase, the eigenvalues are related to those of a Sturm-Liouville operator.