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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