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

Yuzuru Inahama; Shin Ichi Shirai

doi:10.1063/1.1573742

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

Yuzuru Inahama, Shin Ichi Shirai

研究成果: ジャーナルへの寄稿 › 学術誌 › 査読

3 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	2451-2462
ページ数	12
ジャーナル	Journal of Mathematical Physics
巻	44
号	6
DOI	https://doi.org/10.1063/1.1573742
出版ステータス	出版済み - 6月 1 2003
外部発表	はい

!!!All Science Journal Classification (ASJC) codes

統計物理学および非線形物理学
数理物理学

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10.1063/1.1573742

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引用スタイル

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abstract = "We investigate the essential spectrum of the Pauli operators (and the Dirac and the Schr{\"o}dinger operators) with magnetic fields on the Poincar{\'e} 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.",

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AB - 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.

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

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!!!All Science Journal Classification (ASJC) codes

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