145 citations · 1.2k across the 85 of their papers we have counts for
Showing 1994 · hep-thShow all
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hep-th1994★ 64 cited
Integrability Test for Spin Chains
M. P. Grabowski, P. Mathieu
We examine a simple heuristic test of integrability for quantum chains. This test is applied to a variety of systems, including a generic isotropic spin-1 model with nearest-neighb…
hep-th1994★ 145 cited
Structure of the conservation laws in integrable spin chains with short range interactions
M. P. Grabowski, P. Mathieu
We present a detailed analysis of the structure of the conservation laws in quantum integrable chains of the XYZ-type and in the Hubbard model. With the use of the boost operator,…
hep-th1994★ 65 cited
Quantum Integrals of Motion for the Heisenberg Spin Chain
Marek P. Grabowski, Pierre Mathieu
An explicit expression for all the quantum integrals of motion for the isotropic Heisenberg spin chain is presented. The conserved quantities are expressed in terms of a su…