Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems
Hajime Moriya, Heide Narnhofer
TL;DR
This paper investigates how discrete shift translations in one-dimensional quantum lattice systems can be extended continuously, providing insights into their mathematical structure and potential applications.
Contribution
It introduces a method for extending discrete shift translations to continuous transformations in quantum lattice systems, a novel approach in this context.
Findings
Established a continuous extension framework for shift translations
Demonstrated mathematical properties of the extended transformations
Potential implications for quantum system analysis
Abstract
We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.
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