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Table 2 Modes and resonances of\(\sqrt {L} +V\)

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

 

\({\sqrt 2}\)-mode

\({\sqrt 2}\)-res.

0-mode

0-res.

d=1

No

No

No

No

d=2

No

No

No

Yes

d=3

No

Yes

Yes

No

d=4

No

Yes

Yes

No

d≥5

Yes

No

Yes

No