# Spinor analysis

## TL;DR

This paper introduces the concept of spinor analysis, aiming to develop a systematic mathematical framework for understanding spinors in quantum mechanics and their invariant equations, similar to tensor analysis.

## Contribution

It proposes a comprehensive spinor analysis method that can be learned by physicists and used to form all possible spinors and invariant equations involving them.

## Key findings

- Development of a systematic spinor analysis framework
- Ability to construct all spinors from the analysis
- Derivation of invariant equations involving spinors

## Abstract

"Let us call the novel quantities which, in addition to the vectors and tensors, have appeared in the quantum mechanics of the spinning electron, and which in the case of the Lorentz group are quite differently transformed from tensors, as spinors for short. Is there no spinor analysis that every physicist can learn, such as tensor analysis, and with the aid of which all the possible spinors can be formed, and secondly, all the invariant equations in which spinors occur?" So Mr Ehrenfest asked me and the answer will be given below.