Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.38: Poster

Thursday, March 30, 2006, 16:00–18:00, P1

Classes of integrable spin systems — •Robin Steinigeweg and Heinz-Jürgen Schmidt — Physics Department, University of Osnabrück, Barbarastr. 7, 49069 Osnabrück, Germany

We investigate certain classes of integrable classical (and quantum) spin systems of Heisenberg type. The first class is characterised 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 uncoupled subsystems with property P. For these systems the time evolution can be explicitly calculated. The second class consists of spin systems where all non-zero coupling constants have the same strength possessing N−1 independent, commuting constants of motion of Heisenberg type. These systems have the above property P and can be characterised as spin graphs not containing chains of length four. Applications to the construction of symplectic numerical integrators for non-integrable spin systems, e.g., a recently synthesised magnetic molecule, are briefly discussed.