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Discreteness of spectrum conditions for Schrödinger operators on manifolds

✍ Scribed by V. A. Kondrat’ev; M. A. Shubin


Publisher
Springer US
Year
1999
Tongue
English
Weight
195 KB
Volume
33
Category
Article
ISSN
0016-2663

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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