arXiv 1601.045922016-01quant-phhep-th

Quantum walks, deformed relativity, and Hopf algebra symmetries

Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti

备注：: 11 pages. Published version. The present article supersedes arXiv:1503.01017
发表信息：: Phil. Trans. R. Soc. A 2016 374 20150232
DOI：: 10.1098/rsta.2015.0232

英文摘要：

We show how the Weyl quantum walk derived from principles in Ref. [1], enjoying a nonlinear Lorentz symmetry of dynamics, allows one to introduce Hopf algebras for position and momentum of the emerging particle. We focus on two special models of Hopf algebras--the usual Poincaré and the k-Poincaré algebras.

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