Abstract
It is proved that the quantum mechanical Hamiltonian H = Σi=1N (p2 + m2) 1 2 - κ Σi>j|xi - xj|-1 for bosons (resp, fermions) is bounded from below if N ≤ cbκ-1 (resp. N ≤ cfκ -3 2). H is unbounded from below if N ≥ cblκ-1 (resp. N ≥ cflκ -3 2). The constants cb and cbl (resp. cf and cfl) differ by about a factor 2 (resp. 4).
Original language | English (US) |
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Pages (from-to) | 494-512 |
Number of pages | 19 |
Journal | Annals of Physics |
Volume | 155 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 1984 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)