The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane

DOI10.1063/1.1527717zbMath1061.35057OpenAlexW1976897557MaRDI QIDQ4832871

Yuzuru Inahama, Shin-Ichi Shirai

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1527717

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40)

Related Items (5)

Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮ The essential spectrum of Schrödinger, Jacobi, and CMV operators ⋮ Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry ⋮ Delocalized spectra of Landau operators on helical surfaces ⋮ Eigenvalue asymptotics for the Maass Hamiltonian with decreasing electric potentials

Cites Work

• On the Landau levels on the hyperbolic plane
• The path integral on the Poincaré upper half-plane with a magnetic field and for the Morse potential
• Spectral properties of Schrödinger operators with magnetic fields for a spin \({1 \over{} 2}\) particle
• Brownian motion on the hyperbolic plane and Selberg trace formula
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Note on product formulas for operator semigroups
• Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. III
• Coherent states and the role of the affine group in the quantum mechanics of the Morse potential
• Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds

This page was built for publication: The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane