- 09-70 Yoshimi Saito, Tomio Umeda
- Eigenfunctions at the threshold energies of magnetic Dirac operators with positive mass
May 7, 09
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Abstract. We propose a framework for supersymmetric
Dirac operators to have threshold energies. We apply the obtained results
to magnetic Dirac operators with positive mass in order
to investigate the asymptotic behaviors at infinity
of the threshold eigenfunctions.
It turns out that the results of most of the existing
works on the zero modes of the Weyl-Dirac operators remain to hold
for the threshold eigenfunctions of the magnetic Dirac operators
with positive mass.