Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schrödinger operator related to NLS

Dirk Hundertmark, Young-Ran Lee

We study the decay of eigenfunctions of the non self-adjoint matrix operator $\calH = (\begin{smallmatrix} -Δ+μ+U & W \W & Δ-μ-U \end{smallmatrix})$, for $\mu >0$, corresponding to ei…