Mapping of relativistic Green's functions under extended point canonical transformations

TL;DR

This paper demonstrates how to generate new relativistic two-point Green's functions for spinor systems with spherical symmetry using extended point canonical transformations, expanding the toolkit for relativistic quantum mechanics.

Contribution

It introduces a method to derive new Green's functions from existing ones through extended point canonical transformations in relativistic spinor systems.

Findings

Successfully maps Green's functions under XPCT

Provides a systematic approach for relativistic Green's functions

Enhances understanding of symmetry transformations in relativistic quantum systems

Abstract

Given a relativistic two-point Green's function for a spinor system with spherical symmetry we show how to obtain another in the same class by extended point canonical transformations (XPCT).