Grassmann-Gaussian integrals and generalized star products
Sh. Khachatryan, R. Schrader, A. Sedrakyan
TL;DR
This paper introduces a novel approach using Grassmann variables and Berezin integration to derive the non-linear composition rule for on-shell scattering matrices in quantum network scattering, providing a new mathematical perspective.
Contribution
It presents a new derivation of the non-linear composition rule for scattering matrices using Grassmann-Gaussian integrals, linking quantum scattering theory with Berezin integration.
Findings
Derived the composition rule via Grassmann integrals
Connected quantum scattering with Berezin integration theory
Provided a new mathematical framework for scattering matrices
Abstract
In quantum scattering on networks there is a non-linear composition rule for on-shell scattering matrices which serves as a replacement for the multiplicative rule of transfer matrices valid in other physical contexts. In this article, we show how this composition rule is obtained using Berezin integration theory with Grassmann variables.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.