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For a given magnetic potential A one can define the Weyl-Dirac operator σ·(−i∇−A) on R 3. An L 2 eigenfunction of σ · (−i∇ − A) corresponding to 0 is called a zero mode. In this thesis we will be concerned with the zero mode problem for the Weyl-Dirac operator and some related problems. The main results are (i) upper bounds for the number of zero modes of… (More)

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