Tools
Elton, Daniel (2000) New examples of zero modes. Journal of Physics A: Mathematical and General, 33 (41). pp. 7297-7303. ISSN 0305-4470
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1088/0305-4470/33/41/304
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 |