A pr 2 00 7 Connected Operators for the Totally Asymmetric Exclusion Process
نویسنده
چکیده
We fully elucidate the structure of the hierarchy of the connected operators that commute with the Markov matrix of the Totally Asymmetric Exclusion Process (TASEP). We prove for the connected operators a combinatorial formula that was conjectured in a previous work. Our derivation is purely algebraic and relies on the algebra generated by the local jump operators involved in the TASEP.
منابع مشابه
Totally Asymmetric Exclusion Process
The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz. From the properties of the algebra generated by the local jump operators, we construct explicitly the hierarchy of operators that commute with the Markov operator. The transfer matrix, which is the generating function of these operators, is shown to represent a discrete Markov proce...
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The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz technique. From the properties of the algebra generated by the local jump operators, we explicitly construct the hierarchy of operators (called generalized hamiltonians) that commute with the Markov operator. The transfer matrix, which is the generating function of these operators, i...
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تاریخ انتشار 2007