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Table 3 Ψ (0) and Ψ (2)-modes and resonances

From: The spectrum of non-local discrete Schrödinger operators with a δ-potential

v>0 Ψ(2)-mode Ψ(2)-res.
d<1+2b No No
1+2bd<1+4b No Yes
1+4bd Yes No
v<0 Ψ (0)-mode Ψ(0)-res.
d<1+2a No No
1+2ad<1+4a No Yes
1+4ad Yes No