Quaternionic fermionic field

TL;DR

This paper develops the second quantization of quaternionic fermionic fields within quaternionic quantum mechanics, addressing an open problem and laying groundwork for future quaternionic interaction theories.

Contribution

It introduces a novel second quantization framework for quaternionic fermionic fields using real Hilbert spaces, solving an open problem in quaternionic quantum theory.

Findings

Successful second quantization of quaternionic fermionic fields

Addresses an open problem in quaternionic quantum theory

Establishes foundation for quaternionic interaction theory

Abstract

The second quantization of the quaternionic fermionic field is undertaken using the real Hilbert space approach to quaternionic quantum mechanics ($\mathbbm H$QM). The solution responds to an open problem of quaternionic quantum theory, and launches the basis to the development of the quaternionic interaction theory.