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
✦ LIBER ✦
Asymptotics for the Low-Lying Eigenstates of the Schrödinger Operator with Magnetic Field near Corners
✍ Scribed by Virginie Bonnaillie-Noël; Monique Dauge
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 352 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1424-0637
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