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On the semiclassical approximation to the eigenvalue gap of Schrödinger operators

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


Book ID
113721837
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
142 KB
Volume
389
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


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