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New examples of zero modes
journal contribution
posted on 2023-06-07, 23:15 authored by Daniel EltonWe 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.
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Publication status
- Published
Journal
Journal of Physics A: Mathematical and GeneralISSN
0305-4470Publisher
Institute of PhysicsExternal DOI
Issue
41Volume
33Page range
7297-7303ISBN
0022-3670Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
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2012-02-06Usage metrics
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