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

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

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half planes
Essential Spectrum
Half-plane
Magnetic Field
operators
Operator
magnetic fields
analogs
Analogue
Perturbation
perturbation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane. / Inahama, Yuzuru; Shirai, Shin Ichi.

In: Journal of Mathematical Physics, Vol. 44, No. 1, 01.01.2003, p. 89-106.

Research output: Contribution to journal › Article

Inahama, Y & Shirai, SI 2003, 'The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane', Journal of Mathematical Physics, vol. 44, no. 1, pp. 89-106. https://doi.org/10.1063/1.1527717
Inahama Y, Shirai SI. The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane. Journal of Mathematical Physics. 2003 Jan 1;44(1):89-106. https://doi.org/10.1063/1.1527717
Inahama, Yuzuru ; Shirai, Shin Ichi. / The essential spectrum of Schrödinger operators with asymptotically constant magnetic fields on the Poincaré upper-half plane. In: Journal of Mathematical Physics. 2003 ; Vol. 44, No. 1. pp. 89-106.
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