• Corpus ID: 220380999

# Understanding the second quantization of fermions in Clifford and in Grassmann space -- New way of second quantization of fermions, Part I

@article{Borstnik2020UnderstandingTS,
title={Understanding the second quantization of fermions in Clifford and in Grassmann space -- New way of second quantization of fermions, Part I},
author={Norma Susana mankoc Borstnik and Holger Bech Nielsen},
journal={arXiv: General Physics},
year={2020}
}
• Published 6 July 2020
• Mathematics
• arXiv: General Physics
We present in Part II the description of the internal degrees of freedom of fermions by the superposition of odd products of the algebra elements, either $\gamma^a$'s or $\tilde{\gamma}^a$'s in the Clifford case in even $d$-dimensional space-time, as we do in Part I of this paper by $\theta^a$'s and $\frac{\partial}{\partial \theta_a}$'s in the Grassmann case. We discuss: {\bf i.} The properties of the two kinds of the odd Clifford algebras, forming two independent spaces, both expressible with…

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