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Comparison Theorems for the Eigenvalue Gap of Schrödinger Operators on the Real Line

✍ Scribed by Duo-Yuan Chen; Min-Jei Huang


Publisher
Springer
Year
2011
Tongue
English
Weight
265 KB
Volume
13
Category
Article
ISSN
1424-0637

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We study the large eigenvalue asymptotics for the Schrödinger operator H V = -1 2 + V on the real and the complex hyperbolic n-spaces. Here is the Laplace-Beltrami operator and V is a scalar potential. We assume that V is real-valued, continuous, semi-bounded from below and diverges at infinity in a