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 ✦
Trace asymptotics formula for the Schrödinger operators with constant magnetic fields
✍ Scribed by Dimassi, Mouez; Duong, Anh Tuan
- Book ID
- 121687484
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 426 KB
- Volume
- 416
- Category
- Article
- ISSN
- 0022-247X
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## Abstract We study the existence and completeness of the wave operators __W~ω~(A(b),‐Δ__) for general Schrodinger operators of the form equation image is a magnetic potential.