Generalized Eigenfunctions for critical potentials with small perturbations
نویسنده
چکیده
We estimate the behavior of the generalized eigenfunctions of critical Dirac operators (which are Dirac operators with eigenfunctions and/or resonances for E = m) under small perturbations in the potential. The results also apply for other differential operators (for example Schrödinger operators).
منابع مشابه
Generalized Eigenfunctions for Dirac Operators Near Criticality
Critical Dirac operators are those which have eigenfunctions and/or resonances for E = m. We estimate the behavior of the generalized eigenfunctions of critical Dirac operators under small perturbations of the potential. The estimates are done in the L∞-norm. We show that for small k the generalized eigenfunctions are in leading order multiples of the respective eigenfunctions and/or resonances...
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