Proof of the cases $p \leq 7$ of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture
| dc.creator | Haegele, Daniel | |
| dc.date | 2007-02-08 | |
| dc.date | 2007-03-13 | |
| dc.date.accessioned | 2026-07-07T10:07:12Z | |
| dc.date.available | 2026-07-07T10:07:12Z | |
| dc.description | It is shown that the polynomial $λ(t) = {\rm Tr}[(A + tB)^p]$ has nonnegative coefficients when $p \leq 7$ and A and B are any two complex positive semidefinite $n \times n$ matrices with arbitrary $n$. This proofs a general nontrivial case of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture which is a long standing problem in theoretical physics. | |
| dc.description | 5 pages; typos corrected; accepted for publication in Journal of Statistical Physics | |
| dc.identifier | https://arxiv.org/abs/math/0702217 | |
| dc.identifier | http://arxiv.org/abs/math/0702217 | |
| dc.identifier | J. Stat. Phys. 127, 1167 (2007) | |
| dc.identifier | doi:10.1007/s10955-007-9327-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170552 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | Proof of the cases $p \leq 7$ of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture | |
| dc.type | text |