Two results are proved for nul P A , the dimension of the kernel of the Pauli operator, where B 9 =curl A 9 is the magnetic field, nul P tA =0 except for a finite number of values of t in any compact subset of (0, ); (ii) [B 9 : nul2001 Academic Press
It is proved that the existence of zero modes of Weyl-Dirac operators is a rare phenomenon. An estimate of the multiplicity is given in term of the magnetic potential.
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