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Eigenvalue asymptotics for the Schrödinger operators on the hyperbolic plane

✍ Scribed by Yuzuru Inahama; Shin-ichi Shirai


Book ID
108344212
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
323 KB
Volume
211
Category
Article
ISSN
0022-1236

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Eigenvalue asymptotics for the Schröding
✍ Yuzuru Inahama; Shin-Ichi Shirai 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 329 KB

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