Spectral properties of Pauli operators on the Poincaré upper-half plane

Yuzuru Inahama, Shin Ichi Shirai

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We investigate the essential spectrum of the Pauli operators (and the Dirac and the Schrödinger operators) with magnetic fields on the Poincaré upper-half plane. The magnetic fields under consideration are asymptotically constant (which may be equal to zero), or diverge at infinity. Moreover, the Aharonov-Casher type result is also considered.

Original languageEnglish
Pages (from-to)2451-2462
Number of pages12
JournalJournal of Mathematical Physics
Volume44
Issue number6
DOIs
Publication statusPublished - Jun 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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