- 07-72 Dirk Hundertmark and Young-Ran Lee
- Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schr\"odinger operator related to NLS
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Mar 27, 07
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Abstract. We study the decay of eigenfunctions of the non self-adjoint matrix operator
$\calH = \left(
\begin{smallmatrix}
-\Delta +\mu+U & W \\-W & \Delta -\mu -U
\end{smallmatrix}
\right)$, for $\mu>0$, corresponding to eigenvalues in the strip
$-\mu<\re E <\mu$.
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