# Incompatibility of the Dirac-like Field Operators with the Majorana Anzatzen

## TL;DR

This paper demonstrates that Majorana-like field operators are incompatible with Dirac-like operators across various spins, emphasizing the importance of the helicity basis for consistent results.

## Contribution

It provides a detailed analysis showing the incompatibility of Majorana and Dirac field operators in different spin cases, highlighting the significance of the helicity basis.

## Key findings

- Majorana and Dirac operators are incompatible in multiple spin cases
- Helicity basis yields consistent and physically reasonable results
- Explicit examples for higher spins support the main conclusion

## Abstract

In the present article we investigate the spin-1/2 and spin-1 cases in different bases. Next, we look for relations with the Majorana-like field operator. We show explicitly incompatibility of the Majorana anzatzen with the Dirac-like field operators in both the original Majorana theory and its generalizations. Several explicit examples are presented for higher spins too. It seems that the calculations in the helicity basis only give mathematically and physically reasonable results.