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**The local structure of the set of zero mode producing magnetic potentials.** / Elton, Daniel M.

Research output: Contribution to journal › Journal article › peer-review

Elton, DM 2002, 'The local structure of the set of zero mode producing magnetic potentials.', *Communications in Mathematical Physics*, vol. 229, no. 1, pp. 121-139. https://doi.org/10.1007/s00220-002-0679-2

Elton, D. M. (2002). The local structure of the set of zero mode producing magnetic potentials. *Communications in Mathematical Physics*, *229*(1), 121-139. https://doi.org/10.1007/s00220-002-0679-2

Elton DM. The local structure of the set of zero mode producing magnetic potentials. Communications in Mathematical Physics. 2002 Aug;229(1):121-139. https://doi.org/10.1007/s00220-002-0679-2

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title = "The local structure of the set of zero mode producing magnetic potentials.",

abstract = "We consider the class of continuous magnetic potentials on ℝ3 which decay as o(|x|− 1). Within this class it is shown that the set of potentials whose associated Weyl-Dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co-dimension m 2 when m= 0, 1, 2, and is contained in a smooth submanifold of co-dimension 2m− 1 when m≥ 3.",

author = "Elton, {Daniel M.}",

note = "RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics",

year = "2002",

month = aug,

doi = "10.1007/s00220-002-0679-2",

language = "English",

volume = "229",

pages = "121--139",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

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T1 - The local structure of the set of zero mode producing magnetic potentials.

AU - Elton, Daniel M.

N1 - RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics

PY - 2002/8

Y1 - 2002/8

N2 - We consider the class of continuous magnetic potentials on ℝ3 which decay as o(|x|− 1). Within this class it is shown that the set of potentials whose associated Weyl-Dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co-dimension m 2 when m= 0, 1, 2, and is contained in a smooth submanifold of co-dimension 2m− 1 when m≥ 3.

AB - We consider the class of continuous magnetic potentials on ℝ3 which decay as o(|x|− 1). Within this class it is shown that the set of potentials whose associated Weyl-Dirac operator produces zero modes with multiplicity m forms a smooth submanifold of co-dimension m 2 when m= 0, 1, 2, and is contained in a smooth submanifold of co-dimension 2m− 1 when m≥ 3.

U2 - 10.1007/s00220-002-0679-2

DO - 10.1007/s00220-002-0679-2

M3 - Journal article

VL - 229

SP - 121

EP - 139

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -