Scattering in algebraic approach to quantum theory. Jordan algebras

TL;DR

This paper develops a geometric formulation of quantum theory using Jordan algebras and investigates the concept of (quasi)particles and their scattering within this algebraic framework.

Contribution

It introduces a geometric approach to quantum theory based on Jordan algebras and analyzes (quasi)particle scattering in this context.

Findings

Formulation of quantum theory via Jordan algebras

Analysis of (quasi)particle notions in this framework

Insights into scattering processes in algebraic quantum theory

Abstract

Using geometric approach we formulate quantum theory in terms of Jordan algebras. We analyze the notion of (quasi)particle (=elementary excitation of translation-invariant stationary state) and the scattering of (quasi)particles in this framework.