Classes of integrable spin systems
| dc.creator | Steinigeweg, Robin | |
| dc.creator | Schmidt, Heinz-Jürgen | |
| dc.date | 2005-04-04 | |
| dc.date.accessioned | 2026-07-07T12:42:21Z | |
| dc.date.available | 2026-07-07T12:42:21Z | |
| dc.description | We investigate certain classes of integrable classical or quantum spin systems. The first class is characterized by the recursively defined property $P$ saying that the spin system consists of a single spin or can be decomposed into two uniformly coupled or disjoint subsystems with property $P$. For these systems the time evolution can be explicitely calculated. The second class consists of spin systems where all non-zero coupling constants have the same strength (spin graphs) possessing $N-1$ independent, commuting constants of motion of Heisenberg type. These systems are shown to have the above property $P$ and can be characterized as spin graphs not containing chains of length four. We completely enumerate and characterize all spin graphs up to N=5 spins. Applications to the construction of symplectic numerical integrators for non-integrable spin systems are briefly discussed. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0504009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0504009 | |
| dc.identifier | Math. Phys. Anal. Geom. 12 (1), 19 (2009) | |
| dc.identifier | doi:10.1007/s11040-008-9050-y | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220049 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Other Condensed Matter | |
| dc.subject | 70H06, 37J35, 81Q05, 94C15, 82D40 | |
| dc.title | Classes of integrable spin systems | |
| dc.type | text |