Quantization of spinning particle in arbitrary background
S.P. Gavrilov (U. of Sergipe), D.M. Gitman (U. of Sao Paulo)
TL;DR
This paper extends the quantization of spinning particles to arbitrary gravitational backgrounds, addressing complex ordering issues and constructing a consistent relativistic quantum mechanics framework in such settings.
Contribution
It generalizes previous flat spacetime quantization methods to arbitrary gravitational backgrounds, solving ordering problems and establishing a consistent quantum theory.
Findings
Successful quantization in arbitrary backgrounds
Resolution of ordering ambiguities
Framework for relativistic quantum mechanics of spinning particles
Abstract
The article is a natural continuation of the papers by Gavrilov and Gitman (Class.Quant.Grav. {\bf 17} (2000) L133; Int. J. Mod. Phys. A15 (2000) 4499) devoted to relativistic particle quantization. Here we generalize the problem, considering the quantization of a spinning particle in arbitrary gravitational background. The nontriviality of such a generalization is related to the neccessity of solving complicated ordering problems. Similar to the flat space-time case, we show in the course of the canonical quantization how a consistent relativistic quantum mechanics of spinning particle in gravitational and electromagnetic backgrounds can be constructed.
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.