On the integrability of zero-range chipping models with factorized steady states (Q2871950)
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scientific article; zbMATH DE number 6244864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the integrability of zero-range chipping models with factorized steady states |
scientific article; zbMATH DE number 6244864 |
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On the integrability of zero-range chipping models with factorized steady states (English)
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14 January 2014
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interacting particle systems
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exactly solvable dynamic models
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exactly solvable models
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Bethe ansatz
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The conditions of integrability of general zero range chipping models with factorized steady states are studied. A three parameters family of hopping probabilities for the models solvable by the Bethe ansatz is found. The construction is based on the quantum binomial formula for two elements of an associative algebra obeying generic homogeneous quadratic relations. The Bethe ansatz is used to diagonalize the transition matrix of the Markov process.
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