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

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

2007-03-22

arxiv.org/abs/math-ph/0703068v1

Physics

Mathematical Physics

16 pages

Scientific paper

We study the decay of eigenfunctions of the non self-adjoint matrix operator
$\calH = (\begin{smallmatrix} -\Delta +\mu+U & W \W & \Delta -\mu -U
\end{smallmatrix})$, for $\mu>0$, corresponding to eigenvalues in the strip
$-\mu<\re E <\mu$.

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