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

Yuzuru Inahama; Shin Ichi Shirai

doi:10.1063/1.1527717

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

Yuzuru Inahama, Shin Ichi Shirai

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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
Pages (from-to)	89-106
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	44
Issue number	1
DOIs	https://doi.org/10.1063/1.1527717
Publication status	Published - Jan 1 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1527717

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abstract = "We study the essential spectrum of the magnetic Schr{\"o}dinger operators on the Poincar{\'e} 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.",

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