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Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Non-Homogeneous Magnetic Fields

✍ Scribed by László Erdős; Jan Philip Solovej


Book ID
105904277
Publisher
Springer
Year
1997
Tongue
English
Weight
539 KB
Volume
188
Category
Article
ISSN
0010-3616

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Semiclassical Asymptotics of Eigenvalues
✍ Naohiro Suzuki 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 82 KB

The main purpose of the present paper is to investigate the semiclassical asymptotics of eigenvalues for the Dirac operator with magnetic fields. In the case of the Schrodinger operator with magnetic field, this problem was recently solved by Matsumoto. We show that the nth positive eigenvalue of th

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