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Classical and non-classical eigenvalue asymptotics for magnetic Schrödinger operators

✍ Scribed by Hiroyuki Matsumoto

Book ID
107795057
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
845 KB
Volume
95
Category
Article
ISSN
0022-1236

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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