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The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates

Vernadsky National Library of Ukraine

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Title The Transition Probability of the q-TAZRP (q-Bosons) with Inhomogeneous Jump Rates
 
Creator Wang, D.
Waugh, D.
 
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.
 
Date 2019-02-15T18:55:25Z
2019-02-15T18:55:25Z
2016
 
Type Article
 
Identifier 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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України