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Table 1 Modes and resonances of L + V

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

  2-mode 2-res. 0-mode 0-res.
d=1 No No No No
d=2 No No No No
d=3 No Yes No Yes
d=4 No Yes No Yes
d≥5 Yes No Yes No