|Sfb 288 Differential Geometry and Quantum Physics|
Abstract for Sfb Preprint No. 597
Remark on the Dirichlet and Neumann eigenvalues
We describe all potentials on the unit interval with the same Dirichlet and Neumann eigenvalues (or with the same eigenvalues for 2 types of mixed boundary conditions). Moreover, we obtain two-sided a priori estimates of potential in terms of these spectrum and provide a formula which recovers the potential. This generalizes a recent paper by V. Pierce.
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