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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2451-2462
Number of pages	12
Journal	Journal of Mathematical Physics
Volume	44
Issue number	6
DOIs	https://doi.org/10.1063/1.1573742
Publication status	Published - Jun 1 2003
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.1573742

Cite this

@article{ea08b24f51a74b4091b10eac399d7373,

title = "Spectral properties of Pauli operators on the Poincar{\'e} upper-half plane",

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.",

author = "Yuzuru Inahama and Shirai, {Shin Ichi}",

year = "2003",

month = jun,

day = "1",

doi = "10.1063/1.1573742",

language = "English",

volume = "44",

pages = "2451--2462",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics Publising LLC",

number = "6",

}

TY - JOUR

T1 - Spectral properties of Pauli operators on the Poincaré upper-half plane

AU - Inahama, Yuzuru

AU - Shirai, Shin Ichi

PY - 2003/6/1

Y1 - 2003/6/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0038011620&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038011620&partnerID=8YFLogxK

U2 - 10.1063/1.1573742

DO - 10.1063/1.1573742

M3 - Article

AN - SCOPUS:0038011620

SN - 0022-2488

VL - 44

SP - 2451

EP - 2462

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this