# Graduation research topic by supervision of Sven Ahrens

at Shanghai Normal University

## Graduate student research topic

(Master student graduation topic)

### Investigation of virtual particle interactions in electron diffraction

Within the context of solutions of a relativistic wave equation for electrons (Dirac equation), we are able to observe the interaction of a one-particle state with negative solutions, which are inevitably contained in the relativistic formulation. The interesting aspect is that negative energy states can be interpreted as anti-particles (or virtual particle excitations), with which the 'real' particle is interacting [1]. In the intended project, we plan to investigate the contribution of negative states to the process of electron-laser interaction. For this, it is intended
to solve the Dirac equation with different numerical procedures [2,3].
In the project we will work with Python, Linux and C++.

[1] Physical Review A 102, 033106 (2020).

[2] arXiv:2307.01571 [quant-ph].

[3] Physical Review Letters 109, 043601 (2012).

Back to Mainpage