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Simplicity of Eigenvalues in the Anderson Model

✍ Scribed by Abel Klein; Stanislav Molchanov

Book ID
106430788
Publisher
Springer
Year
2006
Tongue
English
Weight
74 KB
Volume
122
Category
Article
ISSN
0022-4715

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πŸ“œ SIMILAR VOLUMES

On Simplicity of the Maximal Eigenvalue
On Simplicity of the Maximal Eigenvalue
✍ Bojan Kuzma πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 81 KB

It is shown that a maximal eigenvalue of a rank-one perturbed, compact, self-adjoint operator is automatically simple, if the norm of perturbation is large enough.

Generic simplicity of the eigenvalues fo
Generic simplicity of the eigenvalues for a supported plate equation
✍ Marcone C. Pereira πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 288 KB

In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).