The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates
In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an n part...
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| Дата: | 2016 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147736 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates / D. Wang, D. Waugh // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147736 |
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dspace |
| spelling |
irk-123456789-1477362019-02-16T01:24:56Z The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates Wang, D. Waugh, D. In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an n particle process in Bethe ansatz form as a sum of n! n-fold contour integrals. Our result generalizes the transition probability formula by Korhonen and Lee for q-TAZRP with a homogeneous lattice, and our method follows the same approach as theirs. 2016 Article The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates / D. Wang, D. Waugh // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 19 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 82B23; 82C22; 60J35 DOI:10.3842/SIGMA.2016.037 http://dspace.nbuv.gov.ua/handle/123456789/147736 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper we consider the q-deformed totally asymmetric zero range process (q-TAZRP), also known as the q-boson (stochastic) particle system, on the Z lattice, such that the jump rate of a particle depends on the site where it is on the lattice. We derive the transition probability for an n particle process in Bethe ansatz form as a sum of n! n-fold contour integrals. Our result generalizes the transition probability formula by Korhonen and Lee for q-TAZRP with a homogeneous lattice, and our method follows the same approach as theirs. |
| format |
Article |
| author |
Wang, D. Waugh, D. |
| spellingShingle |
Wang, D. Waugh, D. The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Wang, D. Waugh, D. |
| author_sort |
Wang, D. |
| title |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates |
| title_short |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates |
| title_full |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates |
| title_fullStr |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates |
| title_full_unstemmed |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates |
| title_sort |
transition probability of the q-tazrp (q-bosons) with inhomogeneous jump rates |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147736 |
| citation_txt |
The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates / D. Wang, D. Waugh // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 19 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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