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The multidimensional L² conjecture for Schrödinger operators
Show that in two or more dimensions, −Δ + V keeps a.c. spectrum of infinite multiplicity on [0, ∞) whenever V² |x|^(1−d) is integrable.
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| 2 | "domain": "physics-astronomy", |
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| 9 | "key": "simon-problems", |
| 10 | "name": "Simon's problems in mathematical physics", |
| 11 | "url": "https://en.wikipedia.org/wiki/Simon_problems#The_2000_list", |
| 12 | "id": "2000-8", |
| 13 | "curator": "Barry Simon", |
| 14 | "poser": "Barry Simon", |
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| 16 | "as_of": "2026-10-20", |
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