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 journalArticlepeer-review

7 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 languageEnglish
Pages (from-to)89-106
Number of pages18
JournalJournal of Mathematical Physics
Volume44
Issue number1
DOIs
Publication statusPublished - Jan 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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