Zero modes with Gaussian, exponential, or polynomial decay are exact solutions when the mass diverges, stays finite, or vanishes at infinity.
V olovik, Fermion zero modes on vortices in chiral superconductors, JETP Lett.70, 609 (1999)
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Zero energy modes with Gaussian, exponential, or polynomial decay: Exact solutions in hermitian and nonhermitian regimes
Zero modes with Gaussian, exponential, or polynomial decay are exact solutions when the mass diverges, stays finite, or vanishes at infinity.