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On the non-existence of zero modes

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On the non-existence of zero modes. / Elton, Daniel Mark.
In: Opuscula Mathematica, Vol. 38, No. 4, 01.01.2018, p. 537-566.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Elton, DM 2018, 'On the non-existence of zero modes', Opuscula Mathematica, vol. 38, no. 4, pp. 537-566. https://doi.org/10.7494/OpMath.2018.38.4.537

APA

Elton, D. M. (2018). On the non-existence of zero modes. Opuscula Mathematica, 38(4), 537-566. https://doi.org/10.7494/OpMath.2018.38.4.537

Vancouver

Elton DM. On the non-existence of zero modes. Opuscula Mathematica. 2018 Jan 1;38(4):537-566. doi: 10.7494/OpMath.2018.38.4.537

Author

Elton, Daniel Mark. / On the non-existence of zero modes. In: Opuscula Mathematica. 2018 ; Vol. 38, No. 4. pp. 537-566.

Bibtex

@article{41b0523383b34e789e9edfb8170b537b,
title = "On the non-existence of zero modes",
abstract = "We consider magnetic fields on R3 which are parallel to a conformal Killing field. When the latter generates a simple rotation we show that a Weyl-Dirac operator with such a magnetic field cannot have a zero mode. In particular this allows us to expand the class of non zero mode producing magnetic fields to include examples of non-trivial smooth compactly supported fields.",
keywords = "Weyl–Dirac operator, zero modes",
author = "Elton, {Daniel Mark}",
year = "2018",
month = jan,
day = "1",
doi = "10.7494/OpMath.2018.38.4.537",
language = "English",
volume = "38",
pages = "537--566",
journal = "Opuscula Mathematica",
issn = "1232-9274",
publisher = "Akademia Gorniczo-Hutnicza im. S. Staszica w Krakowie.",
number = "4",

}

RIS

TY - JOUR

T1 - On the non-existence of zero modes

AU - Elton, Daniel Mark

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We consider magnetic fields on R3 which are parallel to a conformal Killing field. When the latter generates a simple rotation we show that a Weyl-Dirac operator with such a magnetic field cannot have a zero mode. In particular this allows us to expand the class of non zero mode producing magnetic fields to include examples of non-trivial smooth compactly supported fields.

AB - We consider magnetic fields on R3 which are parallel to a conformal Killing field. When the latter generates a simple rotation we show that a Weyl-Dirac operator with such a magnetic field cannot have a zero mode. In particular this allows us to expand the class of non zero mode producing magnetic fields to include examples of non-trivial smooth compactly supported fields.

KW - Weyl–Dirac operator

KW - zero modes

U2 - 10.7494/OpMath.2018.38.4.537

DO - 10.7494/OpMath.2018.38.4.537

M3 - Journal article

VL - 38

SP - 537

EP - 566

JO - Opuscula Mathematica

JF - Opuscula Mathematica

SN - 1232-9274

IS - 4

ER -