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New examples of zero modes

journal contribution
posted on 2023-06-07, 23:15 authored by Daniel Elton
We construct smooth vector potentials A(1) and A(2) on Bbb R3 such that the associated Pauli operators scenterdot(D-A(i)), i = 1,2, have zero-energy eigenfunctions (or zero modes). The first example A(1) has compact support and the associated zero mode is contained in L2. The second example can be written in the form A(2) = (-x2,x1,0)T + tilde A(2) where tilde A(2) is bounded and supported on {|x3|=1}. Furthermore the associated zero mode is Schwartz class.

History

Publication status

  • Published

Journal

Journal of Physics A: Mathematical and General

ISSN

0305-4470

Publisher

Institute of Physics

Issue

41

Volume

33

Page range

7297-7303

ISBN

0022-3670

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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