# Quaternionic quantum particles

## TL;DR

This paper presents simplified solutions for quaternionic quantum mechanics, compares them with complex quantum mechanics, and introduces a general solution method for quaternionic Schrödinger equations applicable to various models.

## Contribution

It provides accessible quaternionic solutions, compares them with complex counterparts, and offers a general method for solving quaternionic Schrödinger equations.

## Key findings

- Quaternionic solutions are now more understandable and comparable to complex solutions.
- Scattering of quaternionic particles through a scalar step potential is analyzed.
- A general solution method for quaternionic Schrödinger equations is introduced.

## Abstract

Solutions of quaternionic quantum mechanics (QQM) are difficult to grasp, even in simple physical situations. In this article, we provide simple and understandable free particle quaternionic solutions, that can be easily compared to complex quantum mechanics (CQM). As an application, we study the scattering of quaternionic particles through a scalar step potential. We also provide a general solution method for the quaternionic Schr\"odinger equation, which can be applied to more sophisticated and physically interesting models.