Sh. B. Akhmatova

A complete geometric classification of spectral configurations for two-particle Schrödinger operators on Z with a rank-three interaction

We study a family of lattice Schrödinger operators H µ ( K ), describing two identical bosons on the one-dimensional lattice Z, where K ∈ T is the quasi-momentum. The interaction is described by the coupling vector µ = ( µ 1 , µ 2 , µ 3 ), where µ 1 acts at the origin and µ 2 ,...