Abstract
We study the essential spectrum of the magnetic Schrödinger operators on the Poincaré upper-half plane and establish a hyperbolic analog of Iwatsuka's result [J. Math. Kyoto Univ. 23(3), 475-480 (1983)] on the stability of the essential spectrum under perturbations from constant magnetic fields.
Original language | English |
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Pages (from-to) | 89-106 |
Number of pages | 18 |
Journal | Journal of Mathematical Physics |
Volume | 44 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 1 2003 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics