Border-line eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
✍ Scribed by George D. Raikov
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1991
- Tongue
- English
- Weight
- 409 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
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
In this paper, we consider an operator H defined on a compact smooth n-manifold M by H = -+ q acting on functions with Dirichlet or Neumann boundary conditions in the case ∂ M = ∅ and with eigenvalues λ 1 (q) < λ 2 (q) ≤ λ 3 (q) ≤ • • •. We investigate critical potentials of the ratio of two consecu