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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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📜 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

Lower Bounds for the Spectra of Schrödin
✍ N. Ueki 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 868 KB

An explicit representation of lower bounds for the spectra of Schrödinger operators with magnetic fields on \(\sigma\)-compact Riemannian manifolds is given, using the positivity of the Pauli Hamiltonian. This representation is applied to show some asymptotic properties of a stochastic oscillatory i