dorsal/arxiv
View SchemaIntegrable Lattice Systems and Markov Processes
| Authors | Sergio Albeverio, Shao-Ming Fei |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210130 |
| URL | https://arxiv.org/abs/quant-ph/0210130 |
| Journal | Int. J. Theor. Phys., Group Theory and Nonlinear Optics 9(2002)39-68 |
Abstract
Lattice systems with certain Lie algebraic or quantum Lie algebraic symmetries are constructed. These symmetric models give rise to series of integrable systems. As examples the $A_n$-symmetric chain models and the SU(2)-invariant ladder models are investigated. It is shown that corresponding to these $A_n$-symmetric chain models and SU(2)-invariant ladder models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains with transition matrices (resp. intensity matrices) having spectra which coincide with the ones of the corresponding integrable models.
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"abstract": "Lattice systems with certain Lie algebraic or quantum Lie algebraic\nsymmetries are constructed. These symmetric models give rise to series of\nintegrable systems. As examples the $A_n$-symmetric chain models and the\nSU(2)-invariant ladder models are investigated. It is shown that corresponding\nto these $A_n$-symmetric chain models and SU(2)-invariant ladder models there\nare exactly solvable stationary discrete-time (resp. continuous-time) Markov\nchains with transition matrices (resp. intensity matrices) having spectra which\ncoincide with the ones of the corresponding integrable models.",
"arxiv_id": "quant-ph/0210130",
"authors": [
"Sergio Albeverio",
"Shao-Ming Fei"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Theor. Phys., Group Theory and Nonlinear Optics\n 9(2002)39-68",
"title": "Integrable Lattice Systems and Markov Processes",
"url": "https://arxiv.org/abs/quant-ph/0210130"
},
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