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On the essential spectrum of Schrödinger operators on Riemannian manifolds

✍ Scribed by César Poupaud


Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
219 KB
Volume
251
Category
Article
ISSN
0025-5874

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Spectrum of the Schrödinger Operator on
✍ S. Nayatani; H. Urakawa 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 595 KB

The spectrum and essential spectrum of the Schrödinger operator \(A+V\) on a complete manifold are studied. As applications, we determine the index of the catenoid of any dimension and the essential spectrum for several minimal submanifolds in the Euclidean space of the Jacobi operator arising from