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Open Quantum Systems Decoherence Quantum Simulation

Chiral properties of discrete Joyce and Hestenes equations

arXiv

Authors: Volodymyr Sushch

Year

2019

Paper ID

14364

Status

Preprint

Abstract Read

~2 min

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Abstract

This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-Kähler equation in the Hestenes and Joyce forms. It is shown that left and right chiral states for these discrete equations can be described with the aid of some projectors on a space of discrete forms. The proposed discrete model admits a chiral symmetry. We construct discrete analogues of spin operators, describe spin eigenstates for a discrete Joyce equation, and also discuss chirality.

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This paper concerns the question of how chirality is realized for discrete counterparts of the Dirac-Kähler equation in the Hestenes and Joyce forms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1912.01296 [2] arXiv https://arxiv.org/abs/1912.01296 [3] Publisher https://arxiv.org/abs/1912.01296

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