IPS/Zeta Correspondence
Quantum Physics
2022-02-08 v6 Mathematical Physics
Combinatorics
math.MP
Probability
Abstract
Our previous works presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models including random walks, correlated random walks, quantum walks, and open quantum random walks. This paper introduces a new zeta function for multi-particle models with probabilistic or quantum interactions, called the interacting particle system (IPS). We compute the zeta function for some tensor-type IPSs.
Keywords
Cite
@article{arxiv.2105.04056,
title = {IPS/Zeta Correspondence},
author = {Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:2105.04056},
year = {2022}
}
Comments
19 pages