New examples of zero modes

Elton, Daniel (2000) New examples of zero modes. Journal of Physics A: Mathematical and General, 33 (41). pp. 7297-7303. ISSN 0305-4470

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: EPrints Services
Date Deposited: 06 Feb 2012 19:32
Last Modified: 09 Jul 2012 14:22
URI: http://sro.sussex.ac.uk/id/eprint/21098
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