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

被引：9

作者：

Wang, Dong ^{[1
]}

Waugh, David ^{[2
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] BNP Paribas, 787 7th Ave, New York, NY 10019 USA

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2016年 / 12卷

关键词：

zero range process; transition probability; interacting particle systems; Bethe ansatz; EXCLUSION PROCESS; ASEP;

D O I：

10.3842/SIGMA.2016.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：16

共 19 条

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