Generalized Eigenfunctions for critical potentials with small perturbations

Abstract

We estimate the behavior of the generalized eigenfunctions of critical Dirac operators (which are Dirac operators with eigenfunctions and/or resonances for $E=m$) plus small perturbations in the potential. The results also apply for other differential operators (for example Schrödinger operators).

2 figures

References in corpus (4)

• Adiabatic Pair Creation in Heavy Ion and Laser Fields
• Flux-Across-Surfaces Theorem for a Dirac Particle
• Existence of Spontaneous Pair Creation
• Zero-energy resonances and the flux -across-surfaces theorem

Cited by in corpus (2)

• Eigenfunctions at the threshold energies of magnetic Dirac operators
• Eigenfunctions of Dirac operators at the threshold energies