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Universal Bounds and Semiclassical Estimates for Eigenvalues of Abstract Schrödinger Operators

✍ Scribed by Harrell, Evans M.; Stubbe, Joachim


Book ID
118198725
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
212 KB
Volume
42
Category
Article
ISSN
0036-1410

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📜 SIMILAR VOLUMES


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✍ Thierry Jecko 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB

## Abstract For semiclassical Schrödinger 2×2–matrix operators, the symbol of which has crossing eigenvalues, we investigate the semiclassical Mourre theory to derive bounds __O__(__h__^−1^) (__h__ being the semiclassical parameter) for the boundary values of the resolvent, viewed as bounded operat

Semiclassical Asymptotics of Eigenvalues
✍ H. Matsumoto 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 663 KB

We consider Schrödinger operators with magnetic fields on a two-dimensional compact manifold or on \(\mathbf{R}^{2}\). The purpose is to study the semiclassical asymptotics of the eigenvalues by two different methods. We obtain some facts on the harmonic oscillators under uniform magnetic fields and